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curve_search.txt
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Procedure for adding curve to match existing Hilbert/Bianchi Modular Forms
== HILBERT MODULAR FORMS ==
0. Find & store conjugate newforms. In LMFDB_ROOT, run Sage:
%runfile lmfdb/hilbert_modular_forms/check_conjugates.py
checkadd_conj("2.2.5.1",1,None,fix=True)
1-3. In LMFDB_ROOT, run Sage:
%runfile scripts/ecnf/hmf_check_find.py
find_curves(field_label, min_norm=0, max_norm=None,
outfilename=None, verbose=False)
e.g.
find_curves('2.2.5.1', 1800, 5000, 'curves.2.2.5.1.part', True)
to make a curves file (e.g. curves.2.2.5.1.part) containing (at
most) one curve per newform.
== BIANCHI MODULAR FORMS ==
Currently we use text files output by bianchi-progs as input.
0. Create a file nflist.* (e.g. nflist.1.1-10000) in the bianchi-data
repository using the nflist_loop program after finding the newforms using
tmanin (in bianchi-progs). e.g.
echo 7 -1 40001 50000 | ./nflist_loop > /home/jec/bianchi-data/newforms/newforms.7.40001-50000
1. In ecnf-data/sage:
sage: %runfile nfscripts.py
sage: magma_search(1, nf_filename="/path/to/nflist.1.1-10000",
outfilename="/path/to/ecnf-data/IQF/curves1.2.0.4.1")
which will find a curve for each (or most) newforms in the given file
(note: field=1 means Q(sqrt(-1)), i.e. 2.0.4.1;
field=2 means Q(sqrt(-2)), i.e. 2.0.8.1;
field=3 means Q(sqrt(-3)), i.e. 2.0.3.1;
field=7 means Q(sqrt(-7)), i.e. 2.0.7.1;
field=11 means Q(sqrt(-11)), i.e. 2.0.11.1 )
== MAKE COMPLETE CURVE DATA FILES INCLUDING ISOGENOUS CURVES ==
4. cd to /home/jec/ecnf-data/sage, run Sage:
%runfile curves.sage
fld = '3.3.148.1'
pth = '/home/jec/ecnf-data/quartics'
process_curves(read_curves("%s/curves1.%s" % (pth,fld)), outfile="%s/curves.%s" % (pth,fld), classfile="%s/isoclass.%s" % (pth,fld), verbose=True)
which produces file curves.xyz and isoclass.xyz in situ; the new
curves file will be compete under isogeny and sorted, using the
original HMF labels for isogeny classes and newly-computed numbers
for the curves in each class.
4a. move the new curves and isoclass files from here to the
appropriate place (e.g.~/ecnf-data/cubics/) and commit and push.
5. Back to ~/lmfdb and run sage:
%runfile scripts/ecnf/import_ecnf_data.py
fld = '3.3.148.1'
pth = '/home/jec/ecnf-data/quartics'
upload_to_db(pth, fld)
6. Check that all the gaps are filled by repeating
find_curve_labels(fld, verbose=True)
7. Deal with duplicates: the curves from Masdeu (originally from
Yokoyama) with egr have conductor labels [1,0,1] not 1.1 so will have
been entered a second time (with not necessarily the same model).
Find these for field_label f using:
for ec in nfcurves.find({'field_label': f}):
if '[' in ec['conductor_label']:
print ec['label']
and remove them with
for ec in nfcurves.find({'field_label': f}):
if '[' in ec['conductor_label']:
print ec['label']
nfcurves.remove({'label':ec['label']})
(So far done for discriminants 24, 28, 29, 33.
Will be needed for 41, 56, 65, 77, 88, 104, 109, 133, 152, 157, 344)
-----------
Log of imaginary quadratic field curves searches:
==================================================
(2014-2016: all to conductor norm 10000)
2017: norms from 10001:
2.0.4.1: 10001-20000: all 3861 found
20k-40k: 7985 of 7989 curves found, isogs 14827, uploaded.
40k-50k: all 4140 curves found, isogs 7353, uploaded
50k-60k: all 4008 found. isogs. uploaded.
60k-70k: all 4341 found. 7824 isogs. uploaded.
70k-80k: all 4087 found. 7088 isogs. uploaded.
80k-90k: all 4216 found. 7741 isogs. uploaded.
90k-95k: all 2021 found. 3420 isogs. uploaded
95k-100k: all 2215 found. 3613 isogs. uploading...
To 100k, # curves = 40026 but # forms = 40030, so 4 missing,
all at norm 34225, magma error messages indicating that there
are no matching curves with these a_P.
2.0.4.1-34225.7-b: bc=0, cm=0
2.0.4.1-34225.7-a: bc=0, cm=0
2.0.4.1-34225.3-b: bc=0, cm=0
2.0.4.1-34225.3-a: bc=0, cm=0
Comparing data files with database on 2019-03-28:
Form 2.0.4.1-34225.3-a has no matching curve
Form 2.0.4.1-34225.3-b has no matching curve
Form 2.0.4.1-34225.7-a has no matching curve
Form 2.0.4.1-34225.7-b has no matching curve
Field 2.0.4.1: file and database both have 40275 classes
Field 2.0.4.1: file and database both have 74037 curves
2.0.8.1: 10001-20000:all 7120 found
20k-30k search: done. isogs. uploaded.
30k-40k search: done. isogs. uploaded.
40k-45k search: all 3912 found. 6784 isogs. uploaded.
45k-50k search: all 4035 found. 7035 isogs. uploaded.
To 50k, # curves = 36835 but # forms = 36843, so 8 curves
missing (all QM type, including 2 CM):
2.0.8.1-5625.3-b: bc=-5, cm=-10
2.0.8.1-5625.1-b: bc=-5, cm=-10
2.0.8.1-6561.5-a: bc=-15, cm=0
2.0.8.1-6561.5-d: bc=-15, cm=0
2.0.8.1-21609.3-c: bc=-7, cm=0
2.0.8.1-21609.3-b: bc=-7, cm=0
2.0.8.1-21609.1-c: bc=-7, cm=0
2.0.8.1-21609.1-b: bc=-7, cm=0
Comparing data files with database on 2019-03-28:
Form 2.0.8.1-5625.1-b has no matching curve
Form 2.0.8.1-5625.3-b has no matching curve
Form 2.0.8.1-6561.5-a has no matching curve
Form 2.0.8.1-6561.5-d has no matching curve
Form 2.0.8.1-21609.1-b has no matching curve
Form 2.0.8.1-21609.1-c has no matching curve
Form 2.0.8.1-21609.3-b has no matching curve
Form 2.0.8.1-21609.3-c has no matching curve
Field 2.0.8.1: file and database both have 36907 classes
Field 2.0.8.1: file and database both have 70040 curves
2.0.3.1: all 2593 found 10001-20000, 5244 isogs, uploaded.
to 100k we now have 51665 curves in 27838 classes
CM curves to 100k: 171 in 127 classes
To 150k, # curves = 42318 but # forms = 42343
25 curves missing
16 NOT QM type:
newform 2.0.3.1-67081.3-a has no curve (bc=0, cm=0)
newform 2.0.3.1-67081.3-b has no curve (bc=0, cm=0)
newform 2.0.3.1-67081.7-b has no curve (bc=0, cm=0)
newform 2.0.3.1-67081.7-a has no curve (bc=0, cm=0)
newform 2.0.3.1-61009.1-a has no curve (bc=0, cm=0)
newform 2.0.3.1-61009.1-b has no curve (bc=0, cm=0)
newform 2.0.3.1-61009.9-a has no curve (bc=0, cm=0)
newform 2.0.3.1-61009.9-b has no curve (bc=0, cm=0)
newform 2.0.3.1-113556.2-a has no curve (bc=0, cm=0)
newform 2.0.3.1-116364.1-a has no curve (bc=0, cm=0)
newform 2.0.3.1-123201.1-b has no curve (bc=0, cm=0)
newform 2.0.3.1-123201.1-c has no curve (bc=0, cm=0)
newform 2.0.3.1-123201.3-b has no curve (bc=0, cm=0)
newform 2.0.3.1-123201.3-c has no curve (bc=0, cm=0)
newform 2.0.3.1-146716.4-b has no curve (bc=0, cm=0)
newform 2.0.3.1-146716.4-a has no curve (bc=0, cm=0)
9 QM type, including 5 CM:
newform 2.0.3.1-5625.1-a has no curve (bc=5, cm=-15)
newform 2.0.3.1-6561.1-b has no curve (bc=6, cm=0)
newform 2.0.3.1-30625.3-a has no curve (bc=-5, cm=-15)
newform 2.0.3.1-30625.1-a has no curve (bc=-5, cm=-15)
newform 2.0.3.1-50625.1-d has no curve (bc=2, cm=0)
newform 2.0.3.1-50625.1-c has no curve (bc=2, cm=0)
newform 2.0.3.1-65536.1-b has no curve (bc=-2, cm=-6)
newform 2.0.3.1-65536.1-e has no curve (bc=-2, cm=-6)
newform 2.0.3.1-104976.1-a has no curve (bc=2, cm=0)
20k-40k: done, 5528 curves out of 5530, 10521 isogs, uploaded.
40k-60k: done, 5785 curves out of 5787, 10634 isogs, uploaded.
60k-80k: done, 5681 curves out of 5607, isogs 9897, uploaded.
80k-100k: all 6008 curves found, isogs 10187, uploaded.
100k-110k: 2837 of 2838 found, 4919 isogs.
( 2.0.3.1 104976.0.324 a (324) is bc=2)
110k-120k: 3088 of 3090 found. 5334 isogs.
2.0.3.1 113556.55562.2 a bc=cm=0
2.0.3.1 116364.42770.2 a bc=cm=0
120k-130k: 2946 of of 2950 found. isogs, uploaded.
130k-140k: all 2863 found. 4788 isogs, uploaded.
140k-150k: 2873 of 2875 found. 4835 isogs, uploaded.
**********No curve found to match newform 146716.62680.2-a/b*************
cm 100k-200k done
Comparing data files with database on 2019-03-28:
(the 4 extra curves/classes are still in separate files)
Field 2.0.3.1: file has 42814 classes, database has 42818
Field 2.0.3.1: file has 77091 curves, database has 77095
2.0.7.1: 10001-20000: all 7054 found
20001-30000: all 7296 found
30001-40000: 7985 of 7990 found. isogs... cm...
****No curve found to match newform 40000.925.25-b
****No curve found to match newform 40000.650.25-b
To 50k: 35824 newforms, 35817 curves. 7 missing.
2.0.7.1-10000.1-b has no curve (bc=-5, cm=-35)
2.0.7.1-10000.5-b has no curve (bc=-5, cm=-35
2.0.7.1-30625.1-e has no curve (bc=-1, cm=0)
2.0.7.1-30625.1-c has no curve (bc=-1, cm=0)
2.0.7.1-30625.1-d has no curve (bc=5, cm=-35)
2.0.7.1-40000.7-b has no curve (bc=-1, cm=-35)
2.0.7.1-40000.1-b has no curve (bc=-1, cm=-35)
40001-50000: all 7561 found, isogs, uploaded
2.0.11.1: 10001-20000: all 6214 found
20001-30000: all 6415 found
30001-40000: all 6280 found, 11486 isogs, uploaded
40001-50000: 6427 to be found...
To 40k: 30541 newforms, 30541 curves, none missing
=============================================
Log of real quadratic field curves searches:
=============================================
2015/10/21: check data for all quadratic fields -- some problems, all solved.
2016/02/10: new check, that #classes==#rational newforms, and that the
data files have the correct number of lines: OK
2016/02/11: all curves present in database, labels and ap agree, and
data files up to date.
====================================
Log of cubic field curves searches:
====================================
61 cubic fields, missing none!
=====================================================================================================
Log of quartic field curves searches:
=====================================================================================================
123 fields in all (with >0 rational newforms)
109 fields complete & data files all checked OK
13 fields complete & data files all checked, some bad primes
1 field 4.4.19600.1 still with gaps:
35 rational newforms but 7 isogeny classes
36.1b/c/d/e
36.2b/c/d/e
29 -all 8
== 13 FIELDS WITH BAD PRIMES ==
4.4.1600.1 found all 579, isogs, uploaded, checked
49 curves agree with matching newforms, 530 do not
bad primes: norm 7^2, 13^2, 23^2
4.4.2304.1 found all 1473, isogs, uploaded, checked
155 curves agree with matching newforms, 1318 do not
bad primes: norm 19^2, 29^2
4.4.4225.1 found all 642, isogs, uploaded, checked
52 curves agree with matching newforms, 590 do not
bad primes: norm 17^2, 23^2
4.4.7056.1 found all 380, isogs, uploaded, checked
72 curves agree with matching newforms, 308 do not
bad primes: norm 29^2, 31^2
4.4.7168.1 found all 402, isogs, uploaded, checked
78 curves agree with matching newforms, 324 do not
bad primes: norm 29^2
4.4.7225.1 found all 337, isogs, uploaded, checked
17 curves agree with matching newforms, 320 do not
bad primes: norm 2^2, 3^2, 13^2
4.4.9248.1 found all 472, isogs, uploaded, checked
58 curves agree with matching newforms, 414 do not
bad primes: norm 23^2
4.4.11025.1 found all 208, isogs, uploaded, checked
62 curves agree with matching newforms, 146 do not
bad primes: norm 17^2, 37^2, 43^2
4.4.12400.1 found all 180, isogs, uploaded, checked
8 curves agree with matching newforms, 172 do not
bad primes: norm 23^2
4.4.12544.1 found all 240, isogs, uploaded, checked
124 curves agree with matching newforms, 116 do not
bad primes: norm 5^2, 11^2, 13^2
4.4.13824.1 found all 203, isogs, uploaded, checked
51 curves agree with matching newforms, 152 do not
bad primes: norm 19^2
4.4.14336.1 found all 142, isogs, uploaded, checked
12 curves agree with matching newforms, 130 do not
bad primes: norm 5^2, 13^2
4.4.17424.1 found all 291, isogs, uploaded, checked
83 curves agree with matching newforms, 208 do not
bad primes: norm 5^2, 7^2, 19^2
== 1 FIELD WITH MISSING CURVES ==
4.4.19600.1 found 19 of 35, 66 isogs, uploaded, 16 missing
4.4.19600.1 found 7 of 35, isogs, uploaded, 28 missing
All curves agree with matching newforms
*** swapped over primes #9, #11 (counting from 0) in fields collection
*** (with norm 29)
After that, found 4 missing curves of conductor norm 25 OK!
Still missing:
36.1b/c/d/e
36.2b/c/d/e
29.4a/b, 29.1a/b, 29.3a.b, 29.2a.b
Using forms_dan (after fixing by Dan Yasaki), after adding Galois conjugates:
4.4.1600.1: all check OK
4.4.2304.1: all check OK
4.4.4225.1: all check OK
4.4.7056.1: all check OK
4.4.7168.1: all check OK
4.4.7225.1: all check OK
4.4.9248.1: all check OK
4.4.11025.1: all check OK
4.4.12400.1: all check OK
4.4.12544.1: all check OK
4.4.13824.1: all check OK
4.4.14336.1: all check OK
4.4.17424.1: all check OK
4.4.19600.1: done, all 35 found, 94 isogs, upload, checked.
=====================================================================================================
Log of quintic field curves searches:
=====================================================================================================
34 fields, 6392 isogeny classes
all 6007 curves found
all 33 fields complete
11/7/17 check_data shows no discrpancies
*** complete ***
5.5.14641.1 found all 385, isogs 792. uploaded, checked
5.5.24217.1 found all 393. isogs 713. uploaded, checked
5.5.36497.1 found all 428. isogs 1020. uploaded, checked
5.5.38569.1 found all 538. isogs 1034. uploaded, checked
5.5.65657.1 found all 354. isogs 670. uploaded, checked
5.5.70601.1 found all 217. isogs 417. uploaded, checked
5.5.81509.1 found all 349. isogs 1084. uploaded, checked
5.5.81589.1 found all 276. isogs 806. uploaded, checked
5.5.89417.1 found all 204. isogs 452. uploaded, checked
5.5.101833.1 found all 115. isogs 197. uploaded, checked
5.5.106069.1 found all 272. isogs 709. uploaded, checked
5.5.117688.1 found all 214. isogs 644. uploaded, checked
5.5.122821.1 found all 142. isogs 404. uploaded, checked
5.5.124817.1 found all 131. isogs 209. uploaded, checked
5.5.126032.1 found all 177. isogs 616. uploaded, checked
5.5.135076.1 found all 222. isogs 736. uploaded, checked
5.5.138136.1 found all 203. isogs 648. uploaded, checked
5.5.138917.1 found all 165. isogs 520. uploaded, checked
5.5.144209.1 found all 80. isogs 194. uploaded, checked
5.5.147109.1 found all 146. isogs 358. uploaded, checked
5.5.149169.1 found all 122. isogs 222. uploaded. checked
5.5.153424.1 found all 156. isogs 382. uploaded, checked
5.5.157457.1 found all 89. isogs 147. uploaded, checked
5.5.160801.1 found all 82. isogs 176. uploaded, checked
5.5.161121.1 found all 138. isogs 359. uploaded, checked
5.5.170701.1 found all 82. isogs 241. uploaded, checked
5.5.173513.1 found all 28. isogs 53. uploaded, checked
5.5.176281.1 found all 53. isogs 82. uploaded, checked
5.5.176684.1 found all 112. isogs 382. uploaded, checked
5.5.179024.1 found all 139. isogs 415. uploaded, checked
5.5.180769.1 found all 44. isogs 78. uploaded. 2 OK, 42 don't check OK!
-- ap for 2 primes above 23, norm 23^2, are interchanged.
5.5.181057.1 found all 129. isogs 265. uploaded, checked
5.5.186037.1 found all 104. isogs 276. uploaded, checked
5.5.195829.1 found all 103. isogs 253. uploaded, checked
=====================================================================================================
Log of sextic field curves searches:
=====================================================================================================
DEGREE 6: 34 fields
adding conjugates: done
*** complete (21) ***
6.6.300125.1 all 353 found. 537 isogs, uploaded, checked.
6.6.453789.1 all 268 found, 654 isogs, uploaded, checked.
6.6.485125.1 all 195 found, 415 isogs, uploaded, checked.
6.6.703493.1 all 186 found, 268 isogs, uploaded, checked.
6.6.722000.1 all 190 found, 498 isogs, uploaded, checked.
6.6.810448.1 all 140 found, 450 isogs, uploaded, checked.
!6.6.905177.1 all 232 found, 888 isogs, uploaded. mismatch primes norm 2^3, now ignored
6.6.1075648.1 all 222 found, 416 isogs, uploaded, checked.
6.6.1081856.1 all 149 found, 302 isogs, uploaded, checked.
!6.6.1134389.1 all 78 found. 148 isogs, uploaded, checked. ap differ for N(P)=5^3 in 66/78 cases
6.6.1229312.1 all 268 found, 524 isogs, uploaded, checked.
6.6.1241125.1 all 241 found, 482 isogs, uploaded, checked.
6.6.1259712.1 all 448 found, 1078 isogs, uploaded, checked.
6.6.1279733.1 all 118 found, 230 isogs, uploaded, checked.
6.6.1387029.1 all 140 found, 280 isogs, uploaded, checked.
6.6.1528713.1 all 87 found, 300 isogs, uploaded, checked. ap differ for N(P)=2^3 in 50/87 cases
6.6.1541581.1 all 103 found, 205 isogs, uploaded, checked.
6.6.1683101.1 all 122 found, 162 isogs, uploaded, checked.
6.6.1767625.1 all 134 found, 348 isogs, uploaded, checked.
6.6.1868969.1 all 120 found, 268 isogs, uploaded, checked.
6.6.1997632.1 all 44 found, 106 isogs, uploaded, checked.
*** check_data on 4/6/17 ***
Field 6.6.371293.1 has 422 rational newforms but 413 isogeny classes
Field 6.6.966125.1 has 252 rational newforms but 207 isogeny classes
Field 6.6.434581.1 has 214 rational newforms but 209 isogeny classes
Field 6.6.820125.1 has 202 rational newforms but 199 isogeny classes
Field 6.6.1292517.1 has 81 rational newforms but 78 isogeny classes
Field 6.6.592661.1 has 203 rational newforms but 201 isogeny classes
Field 6.6.980125.1 has 196 rational newforms but 188 isogeny classes
Field 6.6.1202933.1 has 173 rational newforms but 172 isogeny classes
Field 6.6.1995125.1 has 53 rational newforms but 50 isogeny classes
Field 6.6.1397493.1 has 131 rational newforms but 130 isogeny classes
Field 6.6.1416125.1 has 108 rational newforms but 106 isogeny classes
Field 6.6.1922000.1 has 105 rational newforms but 66 isogeny classes
Field 6.6.1312625.1 has 174 rational newforms but 172 isogeny classes
*** almost complete (13 fields, 55 missing curves) ***
6.6.371293.1 413 of 422 found, 901 isogs, uploaded. 9 missing 337.3-c, 337.4-c, 337.6-c,
571.1-b, 961.1-b, 961.1-f, 961.2-b, 961.3-b, 961.2-f
6.6.434581.1 209 of 214 found, 439 isogs, uploaded. 5 missing 211.1-a, 211.2-a, 251.1-a,
349.1-a, 349.2-a
6.6.592661.1 201 of 203 found, 335 isogs, uploaded. 2 missing 469.1-d, 469.1-c
6.6.820125.1 199 of 202 found, 356 isogs, uploaded. 3 missing 379.2-a, 379.3-a, 379.5-a
6.6.966125.1 238 of 252 found, 454 isogs, uploaded. 14 missing: 101.1-b, 101.1-c, 169.1-a, 169.1-b, 275.1-o, 275.1-l, 295.1-b, 295.1-e, 341.2-b, 341.2-i, 355.3-a, 355.3-h, 379.1-a, 379.1-b
6.6.980125.1 188 of 196 found, 328 isogs, uploaded. 8 missing: 209.2-b, 209.2-c, 269.3-b,
269.3-c, 311.1-b, 311.1-c, 319.1-d, 379.1-a
6.6.1416125.1 106 of 108 found, 176 isogs, uploaded. 2 missing 151.1-c, 151.5-c
6.6.1202933.1 172 of 173 found, 288 isogs, uploaded. 1 missing 320.1-d
6.6.1312625.1 172 of 174 found, 612 isogs, uploaded. 2 missing 199.3-d, 199.3-g
6.6.1397493.1 130 of 131 found, 292 isogs, uploaded. 1 missing 71.2-c
6.6.1922000.1 103 of 105 found, 311 isogs, uploaded, checking... 2 missing: 121.1-b, 121.3-b
6.6.1995125.1 50 of 53 found, 59 isogs, uploaded. 3 missing 41.1-a, 109.1-a, 121.6-d
6.6.1292517.1 78 of 81 found, 123 isogs, uploaded. 3 missing 53.1-c, 53.2-c, 199.1-a
=========================================================================
6.6.371293.1: 9 missing 337.3-c, 337.4-c, 337.6-c, 571.1-b, 961.1-b, 961.1-f, 961.2-b, 961.3-b, 961.2-f
6.6.434581.1: 5 missing 211.1-a, 211.2-a, 251.1-a, 349.1-a, 349.2-a
6.6.592661.1: 2 missing 469.1-d, 469.1-c
6.6.820125.1: 3 missing 379.2-a, 379.3-a, 379.5-a
6.6.966125.1: 14 missing: 101.1-b, 101.1-c, 169.1-a, 169.1-b, 275.1-o, 275.1-l, 295.1-b, 295.1-e, 341.2-b, 341.2-i, 355.3-a, 355.3-h, 379.1-a, 379.1-b
6.6.980125.1: 8 missing: 209.2-b, 209.2-c, 269.3-b, 269.3-c, 311.1-b, 311.1-c, 319.1-d, 379.1-a
6.6.1416125.1: 2 missing 151.1-c, 151.5-c
6.6.1202933.1: 1 missing 320.1-d
6.6.1312625.1: 2 missing 199.3-d, 199.3-g
6.6.1397493.1: 1 missing 71.2-c [found below]
6.6.1922000.1: 2 missing: 121.1-b, 121.3-b
6.6.1995125.1: 3 missing 41.1-a, 109.1-a, 121.6-d
6.6.1292517.1: 3 missing 53.1-c, 53.2-c, 199.1-a
Field 6.6.1397493.1
Conductor [71,71,2*w^5-5*w^4-8*w^3+15*w^2+12*w-6]
Isogeny class 71.2-c
... searching with effort 1000 using 272 primes...
Curve [w^5 + w^2 + w,-w^5 + w^4 + w^3 + w + 1,w^5 + w^4 + w^3 +
w^2,191130*w^5 - 58727*w^4 - 733038*w^3 - 64971*w^2 + 399079*w -
70857,117663946*w^5 - 37430504*w^4 - 453448253*w^3 - 39581899*w^2 +
246859042*w - 43868644]
Total time: 66979.789 seconds, Total memory usage: 81080.81MB
===========================================================================
2022-02-02: 8 curves still missing. Magma search on atkin.
6.6.1292517.1-53.1-c } Conjugate pair. Not with 10^5, trying 10^6...
6.6.1292517.1-53.2-c } Not found with effort 10^5, trying 10^6...
6.6.1995125.1-41.1-a Not found with effort 10^6, trying 10^7...
6.6.592661.1-469.1-d Not found with effort 1000, trying 10^4...
6.6.966125.1-341.2-b} Twists of each other. Trying 10^6...
6.6.966125.1-341.2-i} Not found with effort 10^5, trying 10^6...
6.6.980125.1-209.2-b} Twists of each other. Trying 10^4...
6.6.980125.1-209.2-c} Not found with effort 1000, trying 10^4...
Discriminants mod squares:
FOUND 6.6.1292517.1-53.1-c: D = 3*w^5 + w^4 - 15*w^3 - 10*w^2 + 5*w + 1, norm 53
FOUND 6.6.1292517.1-53.2-c: D = -3*w^5 - w^4 + 16*w^3 + 8*w^2 - 6*w - 1, norm 53
FOUND 6.6.1995125.1-41.1-a: D = w^5 - 2*w^4 - 6*w^3 + 7*w^2 + 11*w - 2, norm 1
FOUND 6.6.592661.1-469.1-d: D = -5*w^5 - 12*w^4 + 10*w^3 + 30*w^2 - 2*w - 12, norm -469 = -1 * 7 * 67
FOUND 6.6.966125.1-341.2-b: D = -4*w^5 + 19*w^3 - w^2 - 15*w - 5, norm 341 = 11 * 31
FOUND 6.6.966125.1-341.2-i: same
The next two have reducible reps:
FOUND 6.6.980125.1-209.2-b: method fails (all Frob polys are x^2-1 or x^2+2x+1 mod 4)
FOUND 6.6.980125.1-209.2-c: same