Table ec_curvedata
Elliptic curves over $\Q$.
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| Column |
Type |
Example |
| Ciso |
text |
'143780f' |
| Clabel |
text |
'143780f1' |
| Cnumber |
smallint |
1 |
| abc_quality |
double precision |
0.7336378936776555 |
| absD |
numeric |
704522000 |
| adelic_genus |
integer |
0 |
| adelic_index |
integer |
2 |
| adelic_level |
bigint |
71890 |
| ainvs |
numeric[] |
[0, -1, 0, -306, -1519] |
| analytic_rank |
smallint |
1 |
| bad_primes |
integer[] |
[2, 5, 7, 13, 79] |
| class_deg |
smallint |
1 |
| class_size |
smallint |
1 |
| cm |
smallint |
0 |
| conductor |
integer |
143780 |
| degree |
bigint |
51840 |
| elladic_images |
text[] |
[] |
| faltings_height |
numeric |
0.41106369871303813259624464765 |
| faltings_index |
smallint |
0 |
| faltings_ratio |
smallint |
1 |
| intrinsic_torsion |
smallint |
1 |
| iso_nlabel |
smallint |
5 |
| isogeny_degrees |
smallint[] |
[1] |
| jinv |
numeric[] |
[198694799104, 44032625] |
| lmfdb_iso |
text |
'143780.f' |
| lmfdb_label |
text |
'143780.f1' |
| lmfdb_number |
smallint |
1 |
| manin_constant |
smallint |
1 |
| min_quad_twist_ainvs |
numeric[] |
[0, -1, 0, -306, -1519] |
| min_quad_twist_disc |
smallint |
1 |
| modell_images |
text[] |
[] |
| modm_images |
text[] |
['71890.2.0.?'] |
| nonmax_primes |
smallint[] |
[] |
| nonmax_rad |
integer |
1 |
| num_bad_primes |
smallint |
5 |
| num_int_pts |
integer |
2 |
| optimality |
smallint |
1 |
| potential_good_reduction |
boolean |
False |
| rank |
smallint |
1 |
| regulator |
numeric |
0.96295195433948055378550751875 |
| semistable |
boolean |
False |
| serre_invariants |
integer[] |
[[2, 2, 35945], [3, 2, 4108], [5, 6, 28756], [7, 8, 20540], [13, 14, 11060], [79, 80, 1820]] |
| sha |
integer |
1 |
| sha_primes |
smallint[] |
[] |
| signD |
smallint |
1 |
| squarefree_disc |
boolean |
|
| stable_faltings_height |
numeric |
0.18001463852638969612383394050 |
| szpiro_ratio |
double precision |
2.4240087962416648 |
| torsion |
smallint |
1 |
| torsion_primes |
smallint[] |
[] |
| torsion_structure |
smallint[] |
[] |
{'Ciso': '11a', 'Clabel': '11a3', 'Cnumber': 3, 'abc_quality': 0.8254556483942886, 'absD': 11, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, 0, 0], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 5, 'elladic_images': ['25.120.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 2, 'intrinsic_torsion': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a3', 'lmfdb_number': 3, 'manin_constant': 5, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '22.2.0.a.1', '25.120.0-25.a.1.2', '110.48.1.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[11, 12, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 97}, 'szpiro_ratio': 4.190241815676422, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}