Table ec_curvedata
Elliptic curves over $\Q$.
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| Column |
Type |
Example |
| Ciso |
text |
'132800bb' |
| Clabel |
text |
'132800bb1' |
| Cnumber |
smallint |
1 |
| abc_quality |
double precision |
1.0968902840010317 |
| absD |
numeric |
212480000000000 |
| adelic_genus |
integer |
0 |
| adelic_index |
integer |
2 |
| adelic_level |
bigint |
166 |
| ainvs |
numeric[] |
[0, 0, 0, 12500, 450000] |
| analytic_rank |
smallint |
1 |
| bad_primes |
integer[] |
[2, 5, 83] |
| class_deg |
smallint |
1 |
| class_size |
smallint |
1 |
| cm |
smallint |
0 |
| conductor |
integer |
132800 |
| degree |
bigint |
337920 |
| elladic_images |
text[] |
[] |
| faltings_height |
numeric |
1.4361493415082766693083562398 |
| faltings_index |
smallint |
0 |
| faltings_ratio |
smallint |
1 |
| intrinsic_torsion |
smallint |
1 |
| iso_nlabel |
smallint |
51 |
| isogeny_degrees |
smallint[] |
[1] |
| jinv |
numeric[] |
[84375, 83] |
| lmfdb_iso |
text |
'132800.bz' |
| lmfdb_label |
text |
'132800.bz1' |
| lmfdb_number |
smallint |
1 |
| manin_constant |
smallint |
1 |
| min_quad_twist_ainvs |
numeric[] |
[1, -1, 0, 8, -9] |
| min_quad_twist_disc |
smallint |
-40 |
| modell_images |
text[] |
[] |
| modm_images |
text[] |
['166.2.0.?'] |
| nonmax_primes |
smallint[] |
[] |
| nonmax_rad |
integer |
1 |
| num_bad_primes |
smallint |
3 |
| num_int_pts |
integer |
0 |
| optimality |
smallint |
1 |
| potential_good_reduction |
boolean |
False |
| rank |
smallint |
1 |
| regulator |
numeric |
8.0555845265421510412017216224 |
| semistable |
boolean |
False |
| serre_invariants |
integer[] |
[[2, 2, 2075], [5, 2, 5312], [83, 84, 1600]] |
| sha |
integer |
1 |
| sha_primes |
smallint[] |
[] |
| signD |
smallint |
-1 |
| squarefree_disc |
boolean |
|
| stable_faltings_height |
numeric |
-0.94476968969339160698479138674 |
| szpiro_ratio |
double precision |
3.3835220690823404 |
| torsion |
smallint |
1 |
| torsion_primes |
smallint[] |
[] |
| torsion_structure |
smallint[] |
[] |
{'Ciso': '49a', 'Clabel': '49a4', 'Cnumber': 4, 'abc_quality': 1.1980441775334598, 'absD': 40353607, 'ainvs': [1, -1, 0, -1822, 30393], 'analytic_rank': 0, 'bad_primes': [7], 'class_deg': 14, 'class_size': 4, 'cm': -28, 'conductor': 49, 'degree': 14, 'elladic_images': ['7.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.52039027575200689013698072272', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 14, 'id': 121, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [16581375, 1], 'lmfdb_iso': '49.a', 'lmfdb_label': '49.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -37, -78], 'min_quad_twist_disc': -7, 'modell_images': ['7B.1.2'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93904233603947808869203383486', 'prec': 97}, 'szpiro_ratio': 8.771469225736265, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}