Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'294450g'
Clabel	text	'294450g5'
Cnumber	smallint	5
abc_quality	double precision	1.0058854629475387
absD	numeric	85343423096169469994855625000
adelic_genus	integer	1
adelic_index	integer	192
adelic_level	bigint	12080
ainvs	numeric[]	[1, 1, 0, 669588250, 12372782257500]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 5, 13, 151]
class_deg	smallint	8
class_size	smallint	6
cm	smallint	0
conductor	integer	294450
degree	bigint	264241152
elladic_images	text[]	['16.48.0.203']
faltings_height	numeric	4.2351225961441253349019246104
faltings_index	smallint	5
faltings_ratio	smallint	8
intrinsic_torsion	smallint	2
iso_nlabel	smallint	6
isogeny_degrees	smallint[]	[1, 2, 4, 8]
jinv	numeric[]	[2124844519772954480917871519, 5461979078154846079670760]
lmfdb_iso	text	'294450.g'
lmfdb_label	text	'294450.g6'
lmfdb_number	smallint	6
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 0, 26783530, 98982258060]
min_quad_twist_disc	smallint	5
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.4', '16.48.0-16.e.2.11', '20.12.0-4.c.1.1', '40.48.0-40.bl....
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	5
num_int_pts	integer	0
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	36.679961292292212086057580894
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 25], [3, 4, 49075], [5, 18, 11778], [13, 14, 22650], [151, 152, 1950]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	3.4304036399270751476015449438
szpiro_ratio	double precision	5.8617434421430925
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '37b', 'Clabel': '37b2', 'Cnumber': 2, 'abc_quality': 1.0859831071145252, 'absD': 37, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1998, 'ainvs': [0, 1, 1, -1873, -31833], 'analytic_rank': 0, 'bad_primes': [37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 37, 'degree': 6, 'elladic_images': ['27.72.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.22208155952370335500678500553', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 9, 'id': 78, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [727057727488000, 37], 'lmfdb_iso': '37.b', 'lmfdb_label': '37.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1873, -31833], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '27.72.0-27.a.1.1', '74.2.0.?', '222.16.0.?', '333.72.0.?', '666.144.3.?', '999.648.16.?', '1998.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[37, 38, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22208155952370335500678500553', 'prec': 97}, 'szpiro_ratio': 9.476822188495476, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}