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

Formats: - HTML - YAML - JSON - 2026-04-19T23:42:07.730941

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': '163800bu', 'Clabel': '163800bu5', 'Cnumber': 5, 'abc_quality': 1.0362567238567626, 'absD': 1547556192000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, 0, 0, -636854475, 6185978707750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 163800, 'degree': 18874368, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3053138272797103050978193461', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'id': 1060096, 'intrinsic_torsion': 2, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1224522642327678150914, 66339], 'lmfdb_iso': '163800.cd', 'lmfdb_label': '163800.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2830464, -1831939092], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0.g.1', '60.12.0-4.c.1.1', '80.24.0.?', '112.24.0.?', '120.24.0.?', '168.24.0.?', '208.24.0.?', '240.48.0.?', '280.24.0.?', '312.24.0.?', '336.48.0.?', '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.?', '4368.96.1.?', '7280.96.0.?', '10920.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5427393376686025978651106518', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 20475], [3, 6, 18200], [5, 14, 6552], [7, 8, 23400], [13, 14, 12600]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3159038112153220718006876164', 'prec': 100}, 'szpiro_ratio': 6.032595072984771, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}