Table ec_curvedata
Elliptic curves over $\Q$.
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| Column |
Type |
Example |
| Ciso |
text |
'109060c' |
| Clabel |
text |
'109060c1' |
| Cnumber |
smallint |
1 |
| abc_quality |
double precision |
0.9716567037152694 |
| absD |
numeric |
5711538944720 |
| adelic_genus |
integer |
0 |
| adelic_index |
integer |
12 |
| adelic_level |
bigint |
15580 |
| ainvs |
numeric[] |
[0, 1, 0, -196341, 33420544] |
| analytic_rank |
smallint |
1 |
| bad_primes |
integer[] |
[2, 5, 7, 19, 41] |
| class_deg |
smallint |
2 |
| class_size |
smallint |
2 |
| cm |
smallint |
0 |
| conductor |
integer |
109060 |
| degree |
bigint |
539136 |
| elladic_images |
text[] |
['2.3.0.1'] |
| faltings_height |
numeric |
1.6287577523345075840075894420 |
| faltings_index |
smallint |
0 |
| faltings_ratio |
smallint |
1 |
| intrinsic_torsion |
smallint |
1 |
| iso_nlabel |
smallint |
0 |
| isogeny_degrees |
smallint[] |
[1, 2] |
| jinv |
numeric[] |
[52316530772430290944, 356971184045] |
| lmfdb_iso |
text |
'109060.a' |
| lmfdb_label |
text |
'109060.a2' |
| lmfdb_number |
smallint |
2 |
| manin_constant |
smallint |
1 |
| min_quad_twist_ainvs |
numeric[] |
[0, 1, 0, -196341, 33420544] |
| min_quad_twist_disc |
smallint |
1 |
| modell_images |
text[] |
['2B'] |
| modm_images |
text[] |
['2.3.0.a.1', '10.6.0.a.1', '3116.6.0.?', '15580.12.0.?'] |
| nonmax_primes |
smallint[] |
[2] |
| nonmax_rad |
integer |
2 |
| num_bad_primes |
smallint |
5 |
| num_int_pts |
integer |
3 |
| optimality |
smallint |
1 |
| potential_good_reduction |
boolean |
False |
| rank |
smallint |
1 |
| regulator |
numeric |
1.0673014552461387409472967971 |
| semistable |
boolean |
False |
| serre_invariants |
integer[] |
[[2, 2, 5], [3, 2, 15580], [5, 6, 21812], [7, 8, 15580], [19, 20, 5740], [41, 42, 2660]] |
| sha |
integer |
1 |
| sha_primes |
smallint[] |
[] |
| signD |
smallint |
1 |
| squarefree_disc |
boolean |
|
| stable_faltings_height |
numeric |
1.3977086921478591475351787348 |
| szpiro_ratio |
double precision |
4.153264830206124 |
| torsion |
smallint |
2 |
| torsion_primes |
smallint[] |
[2] |
| torsion_structure |
smallint[] |
[2] |
{'Ciso': '21294bv', 'Clabel': '21294bv2', 'Cnumber': 2, 'abc_quality': 1.0217325801469954, 'absD': 5183349080587461719208, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [1, -1, 1, -4615760, 1604392651], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 21294, 'degree': 1213056, 'elladic_images': ['9.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8605844849886610302929816220', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'id': 141304, 'intrinsic_torsion': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1, 3], 'jinv': [677353174875, 322828856], 'lmfdb_iso': '21294.ci', 'lmfdb_label': '21294.ci1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -27312, 736568], 'min_quad_twist_disc': 13, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.b.1.1', '117.72.0.?', '168.16.0.?', '504.48.0.?', '6552.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.43013398192451936098588861594', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 3549], [3, 2, 169], [7, 8, 3042], [13, 74, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.32665903017988760437755606660', 'prec': 97}, 'szpiro_ratio': 5.7844189559775785, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
