Table ec_curvedata
Elliptic curves over $\Q$.
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| Column |
Type |
Example |
| Ciso |
text |
'75690bl' |
| Clabel |
text |
'75690bl1' |
| Cnumber |
smallint |
1 |
| abc_quality |
double precision |
0.9497672242186999 |
| absD |
numeric |
846056753312680080 |
| adelic_genus |
integer |
0 |
| adelic_index |
integer |
12 |
| adelic_level |
bigint |
580 |
| ainvs |
numeric[] |
[1, -1, 1, -315533, -51839963] |
| analytic_rank |
smallint |
0 |
| bad_primes |
integer[] |
[2, 3, 5, 29] |
| class_deg |
smallint |
2 |
| class_size |
smallint |
2 |
| cm |
smallint |
0 |
| conductor |
integer |
75690 |
| degree |
bigint |
1455104 |
| elladic_images |
text[] |
['2.3.0.1'] |
| faltings_height |
numeric |
2.1507234956180385376574750903 |
| faltings_index |
smallint |
0 |
| faltings_ratio |
smallint |
1 |
| intrinsic_torsion |
smallint |
1 |
| iso_nlabel |
smallint |
35 |
| isogeny_degrees |
smallint[] |
[1, 2] |
| jinv |
numeric[] |
[328509, 80] |
| lmfdb_iso |
text |
'75690.bj' |
| lmfdb_label |
text |
'75690.bj2' |
| lmfdb_number |
smallint |
2 |
| manin_constant |
smallint |
1 |
| min_quad_twist_ainvs |
numeric[] |
[1, -1, 1, -42, 89] |
| min_quad_twist_disc |
smallint |
-87 |
| modell_images |
text[] |
['2B'] |
| modm_images |
text[] |
['2.3.0.a.1', '20.6.0.d.1', '116.6.0.?', '290.6.0.?', '580.12.0.?'] |
| nonmax_primes |
smallint[] |
[2] |
| nonmax_rad |
integer |
2 |
| num_bad_primes |
smallint |
4 |
| num_int_pts |
integer |
1 |
| optimality |
smallint |
1 |
| potential_good_reduction |
boolean |
False |
| rank |
smallint |
0 |
| regulator |
numeric |
1 |
| semistable |
boolean |
False |
| serre_invariants |
integer[] |
[[2, 4, 1305], [3, 6, 8410], [5, 6, 15138], [29, 254, 90]] |
| sha |
integer |
4 |
| sha_primes |
smallint[] |
[2] |
| signD |
smallint |
1 |
| squarefree_disc |
boolean |
|
| stable_faltings_height |
numeric |
-0.92405452120587182842760155243 |
| szpiro_ratio |
double precision |
4.414979869188991 |
| torsion |
smallint |
2 |
| torsion_primes |
smallint[] |
[2] |
| torsion_structure |
smallint[] |
[2] |
{'Ciso': '36a', 'Clabel': '36a2', 'Cnumber': 2, 'abc_quality': 1.027195810121916, 'absD': 6912, 'ainvs': [0, 0, 0, -15, 22], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 6, 'class_size': 4, 'cm': -12, 'conductor': 36, 'degree': 2, 'elladic_images': ['27.648.18.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.46884170579438940096003111874', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'id': 73, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [54000, 1], 'lmfdb_iso': '36.a', 'lmfdb_label': '36.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -15, 22], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2055928983347136967536638423', 'prec': 97}, 'szpiro_ratio': 5.5079250242595155, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}