Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'270281a'
Clabel	text	'270281a1'
Cnumber	smallint	1
abc_quality	double precision	0.8379725146786214
absD	numeric	803570008571
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	22
ainvs	numeric[]	[0, 0, 1, -8347, -296676]
analytic_rank	smallint	1
bad_primes	integer[]	[11, 24571]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	270281
degree	bigint	872640
elladic_images	text[]	[]
faltings_height	numeric	1.0946420616611009238246981550
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	0
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-64315396685500416, 803570008571]
lmfdb_iso	text	'270281.a'
lmfdb_label	text	'270281.a1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[0, 0, 1, -8347, -296676]
min_quad_twist_disc	smallint	1
modell_images	text[]	[]
modm_images	text[]	['22.2.0.a.1']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	2
num_int_pts	integer	4
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	1.3269018861864854729873322273
semistable	boolean	True
serre_invariants	integer[]	[[2, 2, 11], [3, 2, 24571], [11, 12, 24571], [24571, 24572, 11]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	1.0946420616611009238246981550
szpiro_ratio	double precision	3.0961271659450538
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '46a', 'Clabel': '46a1', 'Cnumber': 1, 'abc_quality': 1.0342185338851655, 'absD': 23552, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [1, -1, 0, -10, -12], 'analytic_rank': 0, 'bad_primes': [2, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 46, 'degree': 5, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.43848206462462840707965101087', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 110, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-116930169, 23552], 'lmfdb_iso': '46.a', 'lmfdb_label': '46.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10, -12], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '46.6.0.a.1', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 23], [5, 2, 23], [23, 24, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43848206462462840707965101087', 'prec': 97}, 'szpiro_ratio': 4.930142729087303, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}