Database - ec_curvedata (Elliptic curves over $\Q$.)

Formats: - HTML - YAML - JSON - 2026-04-20T01:58:11.189333

Query: /api/ec_curvedata/?_offset=0

Column	Type
Ciso	text
Clabel	text
Cnumber	smallint
abc_quality	double precision
absD	numeric
adelic_genus	integer
adelic_index	integer
adelic_level	bigint
ainvs	numeric[]
analytic_rank	smallint
bad_primes	integer[]
class_deg	smallint
class_size	smallint
cm	smallint
conductor	integer
degree	bigint
elladic_images	text[]
faltings_height	numeric
faltings_index	smallint
faltings_ratio	smallint
intrinsic_torsion	smallint
iso_nlabel	smallint
isogeny_degrees	smallint[]
jinv	numeric[]
lmfdb_iso	text
lmfdb_label	text
lmfdb_number	smallint
manin_constant	smallint
min_quad_twist_ainvs	numeric[]
min_quad_twist_disc	smallint
modell_images	text[]
modm_images	text[]
nonmax_primes	smallint[]
nonmax_rad	integer
num_bad_primes	smallint
num_int_pts	integer
optimality	smallint
potential_good_reduction	boolean
rank	smallint
regulator	numeric
semistable	boolean
serre_invariants	integer[]
sha	integer
sha_primes	smallint[]
signD	smallint
squarefree_disc	boolean
stable_faltings_height	numeric
szpiro_ratio	double precision
torsion	smallint
torsion_primes	smallint[]
torsion_structure	smallint[]

{'Ciso': '8736e', 'Clabel': '8736e1', 'Cnumber': 1, 'abc_quality': 0.9289275215030577, 'absD': 45921447936, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 182, 'ainvs': [0, -1, 0, -397, -10619], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8736, 'degree': 6912, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72925161071069659139507794992', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 56280, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-1693669888, 11211291], 'lmfdb_iso': '8736.c', 'lmfdb_label': '8736.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -397, -10619], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['182.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.55877289118294366070989172861', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 91], [3, 4, 224], [7, 8, 1248], [13, 14, 672]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.036104430150751281977845828462', 'prec': 107}, 'szpiro_ratio': 3.535867221853801, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}