Database - ec_curvedata

Formats: - HTML - YAML - JSON - 2026-10-12T01:48:53.894324

Query: /api/ec_curvedata/?_offset=0

Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text
Clabel	text
Cnumber	smallint
abc_quality	double precision	0.6141704632479483
absD	numeric	139510531
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	279021062
ainvs	numeric[]	[1, -1, 1, -97, -652]
analytic_rank	smallint	0
bad_primes	integer[]	[139510531]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	139510531
degree	bigint
elladic_images	text[]	[]
faltings_height	numeric	0.25515233295127915219053202408
faltings_index	smallint	1
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	0
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-99961946721, 139510531]
lmfdb_iso	text	'139510531.a'
lmfdb_label	text	'139510531.a1'
lmfdb_number	smallint	1
manin_constant	smallint
min_quad_twist_ainvs	numeric[]	[1, -1, 1, -97, -652]
min_quad_twist_disc	smallint	1
modell_images	text[]	[]
modm_images	text[]	['279021062.2.0.?']
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[]	[[139510531, 139510532, 1]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.25515233295127915219053202408
szpiro_ratio	double precision	1.416004531749901
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '1599c', 'Clabel': '1599c1', 'Cnumber': 1, 'abc_quality': 1.0488506769099053, 'absD': 5905358043, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 246, 'ainvs': [0, -1, 1, -9507750, -11280874648], 'analytic_rank': 0, 'bad_primes': [3, 13, 41], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1599, 'degree': 79824, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2560372578098342089416973259', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 8732, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-95051071934010512925700096, 5905358043], 'lmfdb_iso': '1599.a', 'lmfdb_label': '1599.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -9507750, -11280874648], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['246.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 123], [3, 4, 13], [13, 14, 123], [41, 42, 39]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2560372578098342089416973259', 'prec': 97}, 'szpiro_ratio': 8.108360090348649, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}