Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'383088r'
Clabel	text	'383088r1'
Cnumber	smallint	1
abc_quality	double precision	0.834528682276375
absD	numeric	3375397562112
adelic_genus	integer	0
adelic_index	integer	12
adelic_level	bigint	95772
ainvs	numeric[]	[0, 1, 0, 2668, -69828]
analytic_rank	smallint	0
bad_primes	integer[]	[2, 3, 23, 347]
class_deg	smallint	2
class_size	smallint	2
cm	smallint	0
conductor	integer	383088
degree	bigint	448512
elladic_images	text[]	['2.3.0.1']
faltings_height	numeric	1.0891176038222800133943765642
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	17
isogeny_degrees	smallint[]	[1, 2]
jinv	numeric[]	[8201219456432, 13185146727]
lmfdb_iso	text	'383088.r'
lmfdb_label	text	'383088.r2'
lmfdb_number	smallint	2
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[0, -1, 0, 2668, 69828]
min_quad_twist_disc	smallint	-4
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '46.6.0.a.1', '4164.6.0.?', '95772.12.0.?']
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	4
num_int_pts	integer	1
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	0
regulator	numeric	1
semistable	boolean	False
serre_invariants	integer[]	[[2, 2, 23], [3, 4, 5552], [23, 24, 16656], [347, 348, 1104]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.62701948344898314044955514990
szpiro_ratio	double precision	2.7890463302151245
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '89b', 'Clabel': '89b1', 'Cnumber': 1, 'abc_quality': 0.8467296169723478, 'absD': 7921, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 712, 'ainvs': [1, 1, 0, 4, 5], 'analytic_rank': 0, 'bad_primes': [89], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 89, 'degree': 5, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.56692298016954181123104544870', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'id': 250, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [4657463, 7921], 'lmfdb_iso': '89.b', 'lmfdb_label': '89.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4, 5], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '356.12.0.?', '712.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [89, 90, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56692298016954181123104544870', 'prec': 97}, 'szpiro_ratio': 3.5681361497532884, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}