Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'392640b'
Clabel	text	'392640b2'
Cnumber	smallint	2
abc_quality	double precision	0.9650460868931344
absD	numeric	9321838744279449600
adelic_genus	integer	0
adelic_index	integer	48
adelic_level	bigint	16360
ainvs	numeric[]	[0, -1, 0, -534081, -31301919]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 5, 409]
class_deg	smallint	4
class_size	smallint	4
cm	smallint	0
conductor	integer	392640
degree	bigint	9437184
elladic_images	text[]	['8.12.0.1']
faltings_height	numeric	2.3303936821016700919773034992
faltings_index	smallint	1
faltings_ratio	smallint	2
intrinsic_torsion	smallint	1
iso_nlabel	smallint	1
isogeny_degrees	smallint[]	[1, 2]
jinv	numeric[]	[64269657841758481, 35559992768400]
lmfdb_iso	text	'392640.b'
lmfdb_label	text	'392640.b2'
lmfdb_number	smallint	2
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 1, 1, -8345, 58007]
min_quad_twist_disc	smallint	-8
modell_images	text[]	['2Cs']
modm_images	text[]	['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0.b.1', '40.24.0-20.b.1.2', '1636.12.0.?', '3272.24.0.?', '81...
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	4
num_int_pts	integer	5
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	5.4664168712096881235773468514
semistable	boolean	False
serre_invariants	integer[]	[[2, 2, 1], [3, 4, 130880], [5, 6, 78528], [409, 410, 960]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	1.2906729112617521278514553170
szpiro_ratio	double precision	3.9732870217666285
torsion	smallint	4
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2, 2]

{'Ciso': '20a', 'Clabel': '20a1', 'Cnumber': 1, 'abc_quality': 0.8396384887826309, 'absD': 6400, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, 4, 4], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 1, 'elladic_images': ['8.12.0.37', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.58337650523554731646541001985', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'id': 24, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21296, 25], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 4], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.a.1', '6.24.0-6.a.1.4', '8.12.0-4.a.1.1', '12.48.0-12.d.1.11', '20.12.0.d.1', '24.96.0-24.bh.1.8', '40.48.0-40.bc.1.1', '60.96.1-60.h.1.7', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0454746256088441894102314342', 'prec': 97}, 'szpiro_ratio': 5.18724658047375, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}