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	'139650fw'
Clabel	text	'139650fw1'
Cnumber	smallint	1
abc_quality	double precision	1.18423219752379
absD	numeric	165317720408064000
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	1140
ainvs	numeric[]	[1, 0, 1, -10316, -19567222]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 5, 7, 19]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	139650
degree	bigint	1831680
elladic_images	text[]	[]
faltings_height	numeric	1.9828801874469862759586423194
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	104
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-404478107789, 550829555712]
lmfdb_iso	text	'139650.ea'
lmfdb_label	text	'139650.ea1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 1, -10316, -19567222]
min_quad_twist_disc	smallint	1
modell_images	text[]	[]
modm_images	text[]	['1140.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	5
num_int_pts	integer	0
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	4.1511495331419444066676322523
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 13965], [3, 4, 23275], [5, 2, 2793], [7, 20, 2850], [19, 20, 7350]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.93188399298669008060666823828
szpiro_ratio	double precision	3.975876557110926
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '37b', 'Clabel': '37b1', 'Cnumber': 1, 'abc_quality': 0.9727427413985318, 'absD': 50653, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1998, 'ainvs': [0, 1, 1, -23, -50], 'analytic_rank': 0, 'bad_primes': [37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 37, 'degree': 2, 'elladic_images': ['9.72.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.32722458481035149069083761293', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'id': 77, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [1404928000, 50653], 'lmfdb_iso': '37.b', 'lmfdb_label': '37.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -23, -50], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.b.1.1', '74.2.0.?', '222.48.1.?', '333.216.4.?', '666.432.13.?', '999.648.16.?', '1998.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 2, 1], [37, 38, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32722458481035149069083761293', 'prec': 97}, 'szpiro_ratio': 5.8332126075508315, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}