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

Formats: - HTML - YAML - JSON - 2026-04-20T18:36:13.055696

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': '262080hk', 'Clabel': '262080hk1', 'Cnumber': 1, 'abc_quality': 0.907047640144071, 'absD': 868127311134720, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, 0, 0, -216012, -38616464], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 262080, 'degree': 1572864, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7977449910676044917940359242', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 1662087, 'intrinsic_torsion': 2, 'iso_nlabel': 192, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5832972054001, 4542720], 'lmfdb_iso': '262080.hk', 'lmfdb_label': '262080.hk5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -375, 2637], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0-8.n.1.9', '80.24.0.?', '112.24.0.?', '208.24.0.?', '210.6.0.?', '240.48.0.?', '280.24.0.?', '336.48.0.?', '420.12.0.?', '520.24.0.?', '560.48.0.?', '624.48.0.?', '728.24.0.?', '840.48.0.?', '1040.48.0.?', '1456.48.0.?', '1560.48.0.?', '1680.96.0.?', '2184.48.0.?', '3120.96.0.?', '3640.48.0.?', '4368.96.0.?', '7280.96.0.?', '10920.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2379769700576984089928547512', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 315], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20871807589363168197056512355', 'prec': 103}, 'szpiro_ratio': 3.8843617568829036, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}