Database - ec_curvedata

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Query: /api/ec_curvedata/?_offset=0

Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'108624n'
Clabel	text	'108624n1'
Cnumber	smallint	1
abc_quality	double precision	0.8635418309911209
absD	numeric	3000796222464
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	27156
ainvs	numeric[]	[0, 1, 0, -4136, -133404]
analytic_rank	smallint	2
bad_primes	integer[]	[2, 3, 31, 73]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	108624
degree	bigint	153600
elladic_images	text[]	[]
faltings_height	numeric	1.1036800676031322540616925481
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	33
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-7643114135716, 2930465061]
lmfdb_iso	text	'108624.bh'
lmfdb_label	text	'108624.bh1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[0, -1, 0, -4136, 133404]
min_quad_twist_disc	smallint	-4
modell_images	text[]	[]
modm_images	text[]	['27156.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	4
num_int_pts	integer	10
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	2
regulator	numeric	1.4384902270993407369387048306
semistable	boolean	False
serre_invariants	integer[]	[[2, 2, 6789], [3, 4, 496], [5, 2, 36208], [31, 32, 3504], [73, 74, 1488]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.52605741713651116288066578022
szpiro_ratio	double precision	3.1998766881511376
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '57b', 'Clabel': '57b4', 'Cnumber': 4, 'abc_quality': 0.9747386105988611, 'absD': 390963, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [1, 0, 1, 8, 29], 'analytic_rank': 0, 'bad_primes': [3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 57, 'degree': 6, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236987', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 4, 'id': 155, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 390963], 'lmfdb_iso': '57.c', 'lmfdb_label': '57.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 8, 29], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '6.6.0.a.1', '12.24.0-12.g.1.1', '152.24.0.?', '456.48.0.?'], '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': True, 'serre_invariants': [[2, 2, 3], [3, 4, 19], [19, 20, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236987', 'prec': 97}, 'szpiro_ratio': 5.002646594097255, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}