Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'460446p'
Clabel	text	'460446p2'
Cnumber	smallint	2
abc_quality	double precision	0.9194963355125669
absD	numeric	83108123415072
adelic_genus	integer	0
adelic_index	integer	12
adelic_level	bigint	4616
ainvs	numeric[]	[1, 1, 1, -555085, -159410269]
analytic_rank	smallint	2
bad_primes	integer[]	[2, 3, 7, 19, 577]
class_deg	smallint	2
class_size	smallint	2
cm	smallint	0
conductor	integer	460446
degree	bigint	6635520
elladic_images	text[]	['8.6.0.6']
faltings_height	numeric	1.8770052070996850221502378102
faltings_index	smallint	1
faltings_ratio	smallint	2
intrinsic_torsion	smallint	1
iso_nlabel	smallint	15
isogeny_degrees	smallint[]	[1, 2]
jinv	numeric[]	[18914821004873282383441, 83108123415072]
lmfdb_iso	text	'460446.p'
lmfdb_label	text	'460446.p1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 1, 1, -555085, -159410269]
min_quad_twist_disc	smallint	1
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '8.6.0.b.1', '2308.6.0.?', '4616.12.0.?']
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	5
num_int_pts	integer	10
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	2
regulator	numeric	4.5782273926161939629753239923
semistable	boolean	True
serre_invariants	integer[]	[[2, 4, 1], [3, 4, 153482], [5, 2, 230223], [7, 8, 65778], [19, 20, 24234], [577, 578, 798]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	1.8770052070996850221502378102
szpiro_ratio	double precision	3.933621628096769
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '63a', 'Clabel': '63a6', 'Cnumber': 6, 'abc_quality': 1.042661241253942, 'absD': 12607619787, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, -1, 0, -306, 5859], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 63, 'degree': 32, 'elladic_images': ['8.48.0.183'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62351152772499461645588847313', 'prec': 97}, 'faltings_index': 5, 'faltings_ratio': 8, 'id': 171, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '63.a', 'lmfdb_label': '63.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '6.6.0.a.1', '8.48.0-8.bb.2.6', '12.24.0-12.g.1.1', '24.96.0-24.bj.1.6', '112.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 7], [7, 8, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854669', 'prec': 97}, 'szpiro_ratio': 7.445646727540435, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}