Database - ec_curvedata

Formats: - HTML - YAML - JSON - 2026-10-22T22:44:56.724183

Query: /api/ec_curvedata/?_offset=0

Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'303450eb'
Clabel	text	'303450eb4'
Cnumber	smallint	4
abc_quality	double precision	1.0218862689931856
absD	numeric	10538613071746593750
adelic_genus	integer	5
adelic_index	integer	288
adelic_level	bigint	14280
ainvs	numeric[]	[1, 1, 1, -952788, -322491969]
analytic_rank	smallint	2
bad_primes	integer[]	[2, 3, 5, 7, 17]
class_deg	smallint	10
class_size	smallint	4
cm	smallint	0
conductor	integer	303450
degree	bigint	8192000
elladic_images	text[]	['2.3.0.1', '5.6.0.1']
faltings_height	numeric	2.3835194530385992538166334230
faltings_index	smallint	3
faltings_ratio	smallint	10
intrinsic_torsion	smallint	1
iso_nlabel	smallint	105
isogeny_degrees	smallint[]	[1, 2, 5, 10]
jinv	numeric[]	[1246079601667529, 137282971014]
lmfdb_iso	text	'303450.eb'
lmfdb_label	text	'303450.eb1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 1, -38112, -2579936]
min_quad_twist_disc	smallint	5
modell_images	text[]	['2B', '5B']
modm_images	text[]	['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '85.24.0.?', '120.36.0.?', '140.36.0.?', '168.6.0.?', '170...
nonmax_primes	smallint[]	[2, 5]
nonmax_rad	integer	10
num_bad_primes	smallint	5
num_int_pts	integer	0
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	2
regulator	numeric	60.021595594030042021832349720
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 1275], [3, 4, 101150], [5, 14, 578], [7, 8, 43350], [17, 82, 1050]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	0.87049716080749504645387010192
szpiro_ratio	double precision	4.191964115544508
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '162b', 'Clabel': '162b4', 'Cnumber': 4, 'abc_quality': 1.1259568215438134, 'absD': 68024448, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 504, 'ainvs': [1, -1, 1, -9695, -364985], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 162, 'degree': 126, 'elladic_images': ['8.2.0.1', '3.8.0.2', '7.16.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81867422321169502752846286918', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 21, 'id': 571, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-189613868625, 128], 'lmfdb_iso': '162.c', 'lmfdb_label': '162.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1077, 13877], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2', '7B.2.3'], 'modm_images': ['3.8.0-3.a.1.1', '7.16.0-7.a.1.1', '8.2.0.a.1', '21.128.1-21.a.4.3', '24.16.0-24.a.1.6', '56.32.0-56.a.1.2', '63.384.5-63.e.1.3', '168.256.5.?', '504.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 81], [3, 2, 2], [7, 2, 81]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27993806545641466386678236774', 'prec': 97}, 'szpiro_ratio': 7.695501297976669, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}