Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'40560bv'
Clabel	text	'40560bv7'
Cnumber	smallint	7
abc_quality	double precision	1.0818126452233845
absD	numeric	1601419382784000
adelic_genus	integer	5
adelic_index	integer	384
adelic_level	bigint	1560
ainvs	numeric[]	[0, -1, 0, -14421840, 21085221312]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 5, 13]
class_deg	smallint	12
class_size	smallint	8
cm	smallint	0
conductor	integer	40560
degree	bigint	1327104
elladic_images	text[]	['4.6.0.1', '3.4.0.1']
faltings_height	numeric	2.5397878445070653577332181638
faltings_index	smallint	6
faltings_ratio	smallint	12
intrinsic_torsion	smallint	2
iso_nlabel	smallint	16
isogeny_degrees	smallint[]	[1, 2, 3, 4, 6, 12]
jinv	numeric[]	[16778985534208729, 81000]
lmfdb_iso	text	'40560.q'
lmfdb_label	text	'40560.q1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 1, -5334, -150368]
min_quad_twist_disc	smallint	-52
modell_images	text[]	['2B', '3B']
modm_images	text[]	['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.3', '40.12.0.v.1', ...
nonmax_primes	smallint[]	[2, 3]
nonmax_rad	integer	6
num_bad_primes	smallint	4
num_int_pts	integer	11
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	0.55828962154649033956440857052
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 845], [3, 4, 2704], [5, 6, 8112], [13, 86, 240]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	0.56416598521635168028924232156
szpiro_ratio	double precision	5.755256522397555
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '4275q', 'Clabel': '4275q1', 'Cnumber': 1, 'abc_quality': 1.119402634915339, 'absD': 27052734375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [1, -1, 1, 70, -7928], 'analytic_rank': 0, 'bad_primes': [3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4275, 'degree': 2560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.68079325560393891517057117487', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 26167, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [27, 19], 'lmfdb_iso': '4275.e', 'lmfdb_label': '4275.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 0, 2], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '76.6.0.?', '190.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 855], [3, 6, 475], [5, 14, 171], [19, 20, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0755913230556912114776209435', 'prec': 97}, 'szpiro_ratio': 3.76470341564657, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}