Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'332838br'
Clabel	text	'332838br1'
Cnumber	smallint	1
abc_quality	double precision	0.9258126221887728
absD	numeric	4113837278126532
adelic_genus	integer	1
adelic_index	integer	96
adelic_level	bigint	10824
ainvs	numeric[]	[1, -1, 1, -83525, -8742855]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 11, 41]
class_deg	smallint	6
class_size	smallint	4
cm	smallint	0
conductor	integer	332838
degree	bigint	2211840
elladic_images	text[]	['8.6.0.4', '3.4.0.1']
faltings_height	numeric	1.7467090591968741403705023340
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	43
isogeny_degrees	smallint[]	[1, 2, 3, 6]
jinv	numeric[]	[18609625, 1188]
lmfdb_iso	text	'332838.br'
lmfdb_label	text	'332838.br3'
lmfdb_number	smallint	3
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 1, -6, 4]
min_quad_twist_disc	smallint	-123
modell_images	text[]	['2B', '3B']
modm_images	text[]	['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '66.24.0.b.1', '123.8.0.?', '2...
nonmax_primes	smallint[]	[2, 3]
nonmax_rad	integer	6
num_bad_primes	smallint	4
num_int_pts	integer	1
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	4.9859796035521879826110894257
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 166419], [3, 2, 36982], [11, 12, 30258], [41, 842, 198]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	-0.65938311848933460726050197098
szpiro_ratio	double precision	3.5871663937192326
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '30976d', 'Clabel': '30976d2', 'Cnumber': 2, 'abc_quality': 0.9029767420170889, 'absD': 58050510848, 'ainvs': [0, 1, 0, -1613, 21547], 'analytic_rank': 0, 'bad_primes': [2, 11], 'class_deg': 2, 'class_size': 2, 'cm': -8, 'conductor': 30976, 'degree': 17280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79497498603929115227469418337', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'id': 206134, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [8000, 1], 'lmfdb_iso': '30976.a', 'lmfdb_label': '30976.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3, 1], 'min_quad_twist_disc': 88, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [11, 62, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2704066260598257565278177574', 'prec': 97}, 'szpiro_ratio': 3.2658234894702716, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}