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	'299112c'
Clabel	text	'299112c1'
Cnumber	smallint	1
abc_quality	double precision	0.8141625024860942
absD	numeric	362600895025391616
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	9064
ainvs	numeric[]	[0, -1, 0, -196544, 44384364]
analytic_rank	smallint	2
bad_primes	integer[]	[2, 3, 11, 103]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	299112
degree	bigint	4435200
elladic_images	text[]	[]
faltings_height	numeric	2.0767873475317793188370059990
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	2
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-173876614, 75087]
lmfdb_iso	text	'299112.c'
lmfdb_label	text	'299112.c1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[0, -1, 0, -1624, -32756]
min_quad_twist_disc	smallint	-11
modell_images	text[]	[]
modm_images	text[]	['9064.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	4
num_int_pts	integer	4
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	2
regulator	numeric	10.689774467250567259743805437
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 1133], [3, 4, 99704], [11, 42, 2472], [103, 104, 2904]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	-0.35701902258028178950858112915
szpiro_ratio	double precision	3.865384718899824
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '78a', 'Clabel': '78a1', 'Cnumber': 1, 'abc_quality': 1.085841646160488, 'absD': 207028224, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [1, 1, 0, -19, 685], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 78, 'degree': 40, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.27493047175759567185621147284', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 224, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-822656953, 207028224], 'lmfdb_iso': '78.a', 'lmfdb_label': '78.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 685], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.2', '24.24.0-24.ba.1.4', '52.12.0-4.c.1.2', '78.6.0.?', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 39], [3, 4, 26], [5, 2, 26], [13, 14, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27493047175759567185621147284', 'prec': 97}, 'szpiro_ratio': 6.106761691317382, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}