Table ec_curvedata
Elliptic curves over $\Q$.
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| Column |
Type |
Example |
| Ciso |
text |
'133168d' |
| Clabel |
text |
'133168d1' |
| Cnumber |
smallint |
1 |
| abc_quality |
double precision |
0.9442334395334606 |
| absD |
numeric |
128693821714227789824 |
| adelic_genus |
integer |
0 |
| adelic_index |
integer |
2 |
| adelic_level |
bigint |
116 |
| ainvs |
numeric[] |
[0, -1, 0, 942496, 416663296] |
| analytic_rank |
smallint |
0 |
| bad_primes |
integer[] |
[2, 7, 29, 41] |
| class_deg |
smallint |
1 |
| class_size |
smallint |
1 |
| cm |
smallint |
0 |
| conductor |
integer |
133168 |
| degree |
bigint |
4257792 |
| elladic_images |
text[] |
[] |
| faltings_height |
numeric |
2.5443232067174224319498068636 |
| faltings_index |
smallint |
0 |
| faltings_ratio |
smallint |
1 |
| intrinsic_torsion |
smallint |
1 |
| iso_nlabel |
smallint |
4 |
| isogeny_degrees |
smallint[] |
[1] |
| jinv |
numeric[] |
[22604861502814790303, 31419390066950144] |
| lmfdb_iso |
text |
'133168.e' |
| lmfdb_label |
text |
'133168.e1' |
| lmfdb_number |
smallint |
1 |
| manin_constant |
smallint |
1 |
| min_quad_twist_ainvs |
numeric[] |
[1, 0, 0, 58906, -6510364] |
| min_quad_twist_disc |
smallint |
-4 |
| modell_images |
text[] |
[] |
| modm_images |
text[] |
['116.2.0.?'] |
| nonmax_primes |
smallint[] |
[] |
| nonmax_rad |
integer |
1 |
| num_bad_primes |
smallint |
4 |
| num_int_pts |
integer |
0 |
| optimality |
smallint |
1 |
| potential_good_reduction |
boolean |
False |
| rank |
smallint |
0 |
| regulator |
numeric |
1 |
| semistable |
boolean |
False |
| serre_invariants |
integer[] |
[[2, 2, 29], [7, 8, 19024], [29, 30, 4592], [41, 42, 3248]] |
| sha |
integer |
1 |
| sha_primes |
smallint[] |
[] |
| signD |
smallint |
-1 |
| squarefree_disc |
boolean |
|
| stable_faltings_height |
numeric |
1.8511760261574771225325747421 |
| szpiro_ratio |
double precision |
4.510431113908105 |
| torsion |
smallint |
1 |
| torsion_primes |
smallint[] |
[] |
| torsion_structure |
smallint[] |
[] |
{'Ciso': '313600c', 'Clabel': '313600c1', 'Cnumber': 1, 'abc_quality': 0.746007822668387, 'absD': 4722524979200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, 0, 0, -1960, -109760], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 313600, 'degree': 958464, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1158747909110104500318660895', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 1969580, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-8640, 49], 'lmfdb_iso': '313600.c', 'lmfdb_label': '313600.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -40, -320], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [5, 10, 12544], [7, 32, 6400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99175391138892790172581032292', 'prec': 97}, 'szpiro_ratio': 2.902624479276058, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}