Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'240825cg'
Clabel	text	'240825cg3'
Cnumber	smallint	3
abc_quality	double precision	0.9810006384698988
absD	numeric	3148591381072998046875
adelic_genus	integer	0
adelic_index	integer	48
adelic_level	bigint	9880
ainvs	numeric[]	[1, 0, 1, -5228526, 3726105073]
analytic_rank	smallint	1
bad_primes	integer[]	[3, 5, 13, 19]
class_deg	smallint	4
class_size	smallint	4
cm	smallint	0
conductor	integer	240825
degree	bigint	15925248
elladic_images	text[]	['4.6.0.1']
faltings_height	numeric	2.8413324897746725547594395484
faltings_index	smallint	3
faltings_ratio	smallint	4
intrinsic_torsion	smallint	2
iso_nlabel	smallint	58
isogeny_degrees	smallint[]	[1, 2, 4]
jinv	numeric[]	[209595169258201, 41748046875]
lmfdb_iso	text	'240825.cg'
lmfdb_label	text	'240825.cg2'
lmfdb_number	smallint	2
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 1, 0, -1237, 13054]
min_quad_twist_disc	smallint	65
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '4.6.0.c.1', '40.12.0.z.1', '76.12.0.?', '104.12.0.?', '260.12.0.?', '520.24.0.?', '76...
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	4
num_int_pts	integer	0
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	22.721487714028885725263906486
semistable	boolean	False
serre_invariants	integer[]	[[2, 2, 80275], [3, 4, 80275], [5, 18, 9633], [13, 86, 1425], [19, 20, 12675]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	0.75413885482685399943231616101
szpiro_ratio	double precision	4.682322326088933
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '11025u', 'Clabel': '11025u2', 'Cnumber': 2, 'abc_quality': 1.1156387553100868, 'absD': 26162841796875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 210, 'ainvs': [0, 0, 1, -46200, -3830094], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 11025, 'degree': 27648, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4539414410597983504400046091', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'id': 71741, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-19539165184, 46875], 'lmfdb_iso': '11025.v', 'lmfdb_label': '11025.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -205, 1203], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '105.8.0.?', '210.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2854303160858564771116314136', 'prec': 97}, 'semistable': False, 'serre_invariants': [[3, 8, 1225], [5, 18, 441], [7, 14, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22440201766719223340888979988', 'prec': 97}, 'szpiro_ratio': 4.709961185364668, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}