Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'72310b'
Clabel	text	'72310b1'
Cnumber	smallint	1
abc_quality	double precision	0.894682293207884
absD	numeric	158178125000000
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	20660
ainvs	numeric[]	[1, 1, 0, -36102, 2693716]
analytic_rank	smallint	2
bad_primes	integer[]	[2, 5, 7, 1033]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	72310
degree	bigint	253440
elladic_images	text[]	[]
faltings_height	numeric	1.5021540536814080034879610273
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	2
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-5203988089953465961, 158178125000000]
lmfdb_iso	text	'72310.c'
lmfdb_label	text	'72310.c1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 1, 0, -36102, 2693716]
min_quad_twist_disc	smallint	1
modell_images	text[]	[]
modm_images	text[]	['20660.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	4
num_int_pts	integer	20
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	2
regulator	numeric	0.26659179940208260987765036003
semistable	boolean	True
serre_invariants	integer[]	[[2, 4, 5165], [3, 2, 36155], [5, 6, 14462], [7, 8, 10330], [11, 2, 14462], [1033, 1034, 70]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	1.5021540536814080034879610273
szpiro_ratio	double precision	3.8563085331012465
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '423801ci', 'Clabel': '423801ci1', 'Cnumber': 1, 'abc_quality': 1.1001959515897402, 'absD': 29899138071502687532752117055187, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 1, -17034726259173, -27061436852750306309], 'analytic_rank': 0, 'bad_primes': [3, 7, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 423801, 'degree': 23569920000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.9559602110902094227705100048', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 2621812, 'intrinsic_torsion': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1], 'jinv': [-7776720357545683677184, 425329947], 'lmfdb_iso': '423801.ci', 'lmfdb_label': '423801.ci1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -40195106, 98099593124], 'min_quad_twist_disc': -651, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 47089], [7, 32, 8649], [31, 212, 441]], 'sha': 625, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5720429884908760529125740775', 'prec': 97}, 'szpiro_ratio': 7.950318361375821, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}