Table ec_curvedata
Elliptic curves over $\Q$.
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| Column |
Type |
Example |
| Ciso |
text |
'96120w' |
| Clabel |
text |
'96120w1' |
| Cnumber |
smallint |
1 |
| abc_quality |
double precision |
1.1957864335904793 |
| absD |
numeric |
8792883370773360 |
| adelic_genus |
integer |
0 |
| adelic_index |
integer |
2 |
| adelic_level |
bigint |
2670 |
| ainvs |
numeric[] |
[0, 0, 0, 51597, -60453] |
| analytic_rank |
smallint |
1 |
| bad_primes |
integer[] |
[2, 3, 5, 89] |
| class_deg |
smallint |
1 |
| class_size |
smallint |
1 |
| cm |
smallint |
0 |
| conductor |
integer |
96120 |
| degree |
bigint |
617760 |
| elladic_images |
text[] |
[] |
| faltings_height |
numeric |
1.7488593991477497292912985642 |
| faltings_index |
smallint |
0 |
| faltings_ratio |
smallint |
1 |
| intrinsic_torsion |
smallint |
1 |
| iso_nlabel |
smallint |
13 |
| isogeny_degrees |
smallint[] |
[1] |
| jinv |
numeric[] |
[48237610966272, 27920297245] |
| lmfdb_iso |
text |
'96120.n' |
| lmfdb_label |
text |
'96120.n1' |
| lmfdb_number |
smallint |
1 |
| manin_constant |
smallint |
1 |
| min_quad_twist_ainvs |
numeric[] |
[0, 0, 0, 51597, -60453] |
| min_quad_twist_disc |
smallint |
1 |
| modell_images |
text[] |
[] |
| modm_images |
text[] |
['2670.2.0.?'] |
| nonmax_primes |
smallint[] |
[] |
| nonmax_rad |
integer |
1 |
| num_bad_primes |
smallint |
4 |
| num_int_pts |
integer |
2 |
| optimality |
smallint |
1 |
| potential_good_reduction |
boolean |
False |
| rank |
smallint |
1 |
| regulator |
numeric |
5.7047323990951241937971804968 |
| semistable |
boolean |
False |
| serre_invariants |
integer[] |
[[2, 2, 12015], [3, 2, 1780], [5, 6, 216], [89, 90, 1080]] |
| sha |
integer |
1 |
| sha_primes |
smallint[] |
[] |
| signD |
smallint |
-1 |
| squarefree_disc |
boolean |
|
| stable_faltings_height |
numeric |
0.69385112246001902427245392936 |
| szpiro_ratio |
double precision |
3.8495512739296216 |
| torsion |
smallint |
1 |
| torsion_primes |
smallint[] |
[] |
| torsion_structure |
smallint[] |
[] |
{'Ciso': '27a', 'Clabel': '27a1', 'Cnumber': 1, 'absD': 19683, 'ainvs': [0, 0, 1, 0, -7], 'analytic_rank': 0, 'bad_primes': [3], 'class_deg': 27, 'class_size': 4, 'cm': -3, 'conductor': 27, 'degree': 1, 'elladic_images': ['27.1944.55.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.49715821192695564644343526816', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'id': 45, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [0, 1], 'lmfdb_iso': '27.a', 'lmfdb_label': '27.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 0], 'min_quad_twist_disc': -3, 'modell_images': ['3Cs.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 97}, 'szpiro_ratio': 5.261859507142915, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}