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

Formats: - HTML - YAML - JSON - 2026-06-18T20:29:39.597085

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': '9800h', 'Clabel': '9800h1', 'Cnumber': 1, 'abc_quality': 0.8600818321634119, 'absD': 6860000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, -1, 0, -3033, 65437], 'analytic_rank': 2, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 9800, 'degree': 9216, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77016224761555302997584433257', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 63361, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-2249728, 5], 'lmfdb_iso': '9800.m', 'lmfdb_label': '9800.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -121, 475], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 28, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.11654913681564331218284908928', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 175], [5, 18, 392], [7, 20, 200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.98313236623862235654569493421', 'prec': 107}, 'szpiro_ratio': 3.8813007654845126, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}