Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text
Clabel	text
Cnumber	smallint
abc_quality	double precision	0.7475772733076682
absD	numeric	179707831
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	359415662
ainvs	numeric[]	[1, 1, 0, -19452, 1036163]
analytic_rank	smallint	0
bad_primes	integer[]	[179707831]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	179707831
degree	bigint
elladic_images	text[]	[]
faltings_height	numeric	0.96698438204214658063175168962
faltings_index	smallint	1
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	0
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-814050560116764361, 179707831]
lmfdb_iso	text	'179707831.a'
lmfdb_label	text	'179707831.a1'
lmfdb_number	smallint	1
manin_constant	smallint
min_quad_twist_ainvs	numeric[]	[1, 1, 0, -19452, 1036163]
min_quad_twist_disc	smallint	1
modell_images	text[]	[]
modm_images	text[]	['359415662.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	1
num_int_pts	integer	0
optimality	smallint
potential_good_reduction	boolean	False
rank	smallint	0
regulator	numeric	1
semistable	boolean	True
serre_invariants	integer[]	[[179707831, 179707832, 1]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.96698438204214658063175168962
szpiro_ratio	double precision	2.1697869239881187
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '38b', 'Clabel': '38b1', 'Cnumber': 1, 'abc_quality': 1.3783287107557713, 'absD': 608, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [1, 1, 1, 0, 1], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 38, 'degree': 2, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.78693436276082045639000356919', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 83, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [-1, 608], 'lmfdb_iso': '38.b', 'lmfdb_label': '38.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 1], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '152.2.0.?', '760.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [5, 2, 19], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78693436276082045639000356919', 'prec': 97}, 'szpiro_ratio': 3.81156491539651, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}