Database - ec_curvedata

Formats: - HTML - YAML - JSON - 2026-10-09T23:34:28.873031

Query: /api/ec_curvedata/?_offset=0

Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'33135a'
Clabel	text	'33135a5'
Cnumber	smallint	5
abc_quality	double precision	1.0558519748642754
absD	numeric	37895678891015625
adelic_genus	integer	13
adelic_index	integer	768
adelic_level	bigint	22560
ainvs	numeric[]	[1, 1, 1, 77269, 4433978]
analytic_rank	smallint	0
bad_primes	integer[]	[3, 5, 47]
class_deg	smallint	16
class_size	smallint	8
cm	smallint	0
conductor	integer	33135
degree	bigint	206080
elladic_images	text[]	['8.48.0.197']
faltings_height	numeric	1.8693698190521581606754948985
faltings_index	smallint	5
faltings_ratio	smallint	8
intrinsic_torsion	smallint	2
iso_nlabel	smallint	3
isogeny_degrees	smallint[]	[1, 2, 4, 8]
jinv	numeric[]	[4733169839, 3515625]
lmfdb_iso	text	'33135.d'
lmfdb_label	text	'33135.d8'
lmfdb_number	smallint	8
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 1, 1, 35, -28]
min_quad_twist_disc	smallint	-47
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '4.12.0.d.1', '8.48.0.n.2', '24.96.1.cv.2', '80.96.1.?', '160.192.5.?', '188.24.0.?', ...
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	3
num_int_pts	integer	0
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	0
regulator	numeric	1
semistable	boolean	False
serre_invariants	integer[]	[[2, 2, 2209], [3, 4, 11045], [5, 6, 6627], [47, 1106, 15]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	-0.055703981802871132734980436385
szpiro_ratio	double precision	4.359842493483771
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '57600r', 'Clabel': '57600r2', 'Cnumber': 2, 'abc_quality': 0.9029767420170889, 'absD': 373248000000, 'ainvs': [0, 0, 0, -3000, 56000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': -8, 'conductor': 57600, 'degree': 55296, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95005245019121091324172467946', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'id': 382068, 'intrinsic_torsion': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [8000, 1], 'lmfdb_iso': '57600.ch', 'lmfdb_label': '57600.ch1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3, 1], 'min_quad_twist_disc': 120, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 2, 6400], [5, 14, 2304]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2704066260598257565278177574', 'prec': 97}, 'szpiro_ratio': 3.250780267964292, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}