Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'301665ca'
Clabel	text	'301665ca1'
Cnumber	smallint	1
abc_quality	double precision	0.8356839560247407
absD	numeric	3230945274375
adelic_genus	integer	0
adelic_index	integer	48
adelic_level	bigint	61880
ainvs	numeric[]	[1, 0, 1, 2362, 74531]
analytic_rank	smallint	1
bad_primes	integer[]	[3, 5, 7, 13, 17]
class_deg	smallint	4
class_size	smallint	4
cm	smallint	0
conductor	integer	301665
degree	bigint	491520
elladic_images	text[]	['4.6.0.1']
faltings_height	numeric	1.0844775458481598370309728078
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	2
iso_nlabel	smallint	52
isogeny_degrees	smallint[]	[1, 2, 4]
jinv	numeric[]	[302111711, 669375]
lmfdb_iso	text	'301665.ca'
lmfdb_label	text	'301665.ca4'
lmfdb_number	smallint	4
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 0, 14, 35]
min_quad_twist_disc	smallint	13
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '4.6.0.c.1', '238.6.0.?', '280.12.0.?', '364.12.0.?', '476.12.0.?', '520.12.0.?', '680...
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	5
num_int_pts	integer	3
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	5.0262987748973032261814959618
semistable	boolean	False
serre_invariants	integer[]	[[2, 2, 20111], [3, 4, 100555], [5, 6, 60333], [7, 8, 43095], [13, 86, 1785], [17, 18, 17745]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	-0.19799713288260853099577091298
szpiro_ratio	double precision	2.849773858234227
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '11a', 'Clabel': '11a2', 'Cnumber': 2, 'abc_quality': 1.0929566831983986, 'absD': 11, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, -7820, -263580], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 5, 'elladic_images': ['25.120.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540515', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 25, 'id': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-52893159101157376, 11], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7820, -263580], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '22.2.0.a.1', '25.120.0-25.a.2.2', '110.48.1.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[11, 12, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540515', 'prec': 97}, 'szpiro_ratio': 16.058687318281603, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}