Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'433734o'
Clabel	text	'433734o2'
Cnumber	smallint	2
abc_quality	double precision	0.9301020236930355
absD	numeric	3166818043027968
adelic_genus	integer	0
adelic_index	integer	12
adelic_level	bigint	578312
ainvs	numeric[]	[1, 0, 1, -1228515, 523995934]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 7, 23, 449]
class_deg	smallint	2
class_size	smallint	2
cm	smallint	0
conductor	integer	433734
degree	bigint	5750784
elladic_images	text[]	['2.3.0.1']
faltings_height	numeric	2.1093920063794168136496827408
faltings_index	smallint	1
faltings_ratio	smallint	2
intrinsic_torsion	smallint	1
iso_nlabel	smallint	14
isogeny_degrees	smallint[]	[1, 2]
jinv	numeric[]	[205052276178699077944873, 3166818043027968]
lmfdb_iso	text	'433734.o'
lmfdb_label	text	'433734.o1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 1, -1228515, 523995934]
min_quad_twist_disc	smallint	1
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '644.6.0.?', '3592.6.0.?', '578312.12.0.?']
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	5
num_int_pts	integer	4
optimality	smallint	2
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	2.0394702756454055220255172084
semistable	boolean	True
serre_invariants	integer[]	[[2, 4, 449], [3, 4, 72289], [7, 8, 61962], [23, 24, 18858], [449, 450, 966]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	2.1093920063794168136496827408
szpiro_ratio	double precision	4.135345126774188
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '90b', 'Clabel': '90b3', 'Cnumber': 3, 'abc_quality': 1.0820688714039877, 'absD': 9841500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120, 'ainvs': [1, -1, 1, 52, -53], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 90, 'degree': 24, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.030944423624727139410695462659', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 3, 'id': 258, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [804357, 500], 'lmfdb_iso': '90.b', 'lmfdb_label': '90.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 6, 0], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '24.48.0-24.cd.1.11', '30.48.0-30.b.1.3', '40.6.0.e.1', '120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 2, 2], [5, 6, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79301479287635512913573846503', 'prec': 97}, 'szpiro_ratio': 5.219178320435282, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}