Table ec_curvedata
Elliptic curves over $\Q$.
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| Column |
Type |
Example |
| Ciso |
text |
'223486h' |
| Clabel |
text |
'223486h2' |
| Cnumber |
smallint |
2 |
| abc_quality |
double precision |
0.8452930983707998 |
| absD |
numeric |
5203533599168 |
| adelic_genus |
integer |
0 |
| adelic_index |
integer |
16 |
| adelic_level |
bigint |
670458 |
| ainvs |
numeric[] |
[1, 0, 1, -2961, -126300] |
| analytic_rank |
smallint |
1 |
| bad_primes |
integer[] |
[2, 131, 853] |
| class_deg |
smallint |
3 |
| class_size |
smallint |
2 |
| cm |
smallint |
0 |
| conductor |
integer |
223486 |
| degree |
bigint |
399744 |
| elladic_images |
text[] |
['3.8.0.2'] |
| faltings_height |
numeric |
1.1301692164709116653713838896 |
| faltings_index |
smallint |
1 |
| faltings_ratio |
smallint |
3 |
| intrinsic_torsion |
smallint |
1 |
| iso_nlabel |
smallint |
2 |
| isogeny_degrees |
smallint[] |
[1, 3] |
| jinv |
numeric[] |
[-2869644357807625, 5203533599168] |
| lmfdb_iso |
text |
'223486.c' |
| lmfdb_label |
text |
'223486.c1' |
| lmfdb_number |
smallint |
1 |
| manin_constant |
smallint |
1 |
| min_quad_twist_ainvs |
numeric[] |
[1, 0, 1, -2961, -126300] |
| min_quad_twist_disc |
smallint |
1 |
| modell_images |
text[] |
['3B.1.2'] |
| modm_images |
text[] |
['3.8.0-3.a.1.1', '223486.2.0.?', '670458.16.0.?'] |
| nonmax_primes |
smallint[] |
[3] |
| nonmax_rad |
integer |
3 |
| num_bad_primes |
smallint |
3 |
| num_int_pts |
integer |
0 |
| optimality |
smallint |
0 |
| potential_good_reduction |
boolean |
False |
| rank |
smallint |
1 |
| regulator |
numeric |
2.5331960232375947922853523039 |
| semistable |
boolean |
True |
| serre_invariants |
integer[] |
[[2, 4, 111743], [3, 2, 131], [131, 132, 1706], [853, 854, 262]] |
| sha |
integer |
1 |
| sha_primes |
smallint[] |
[] |
| signD |
smallint |
-1 |
| squarefree_disc |
boolean |
|
| stable_faltings_height |
numeric |
1.1301692164709116653713838896 |
| szpiro_ratio |
double precision |
3.0049321245606935 |
| torsion |
smallint |
1 |
| torsion_primes |
smallint[] |
[] |
| torsion_structure |
smallint[] |
[] |
{'Ciso': '33a', 'Clabel': '33a2', 'Cnumber': 2, 'abc_quality': 1.0970565641289056, 'absD': 297, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -6, -9], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.70577924767663390765967824166', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 62, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [30664297, 297], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 1, 0, -6, -9], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.2', '24.24.0-24.ba.1.4', '44.12.0-4.c.1.2', '66.6.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70577924767663390765967824166', 'prec': 97}, 'szpiro_ratio': 4.930236605691871, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}