Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'408738j'
Clabel	text	'408738j1'
Cnumber	smallint	1
abc_quality	double precision	0.878846741992338
absD	numeric	165847795633504512
adelic_genus	integer	0
adelic_index	integer	12
adelic_level	bigint	74316
ainvs	numeric[]	[1, 0, 1, -172428, 19365322]
analytic_rank	smallint	2
bad_primes	integer[]	[2, 3, 11, 563]
class_deg	smallint	2
class_size	smallint	2
cm	smallint	0
conductor	integer	408738
degree	bigint	10752000
elladic_images	text[]	['2.3.0.1']
faltings_height	numeric	2.0101225129601359157265534243
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	9
isogeny_degrees	smallint[]	[1, 2]
jinv	numeric[]	[320027539885201, 93616756992]
lmfdb_iso	text	'408738.j'
lmfdb_label	text	'408738.j2'
lmfdb_number	smallint	2
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 0, -1425, -14679]
min_quad_twist_disc	smallint	-11
modell_images	text[]	['2B']
modm_images	text[]	['2.3.0.a.1', '12.6.0.b.1', '12386.6.0.?', '74316.12.0.?']
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
num_bad_primes	smallint	4
num_int_pts	integer	21
optimality	smallint	2
potential_good_reduction	boolean	False
rank	smallint	2
regulator	numeric	1.6575500253081197715414993284
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 68123], [3, 4, 136246], [5, 2, 136246], [11, 72, 3378], [563, 564, 726]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	0.81117487656095064369558163532
szpiro_ratio	double precision	3.6984312251938887
torsion	smallint	2
torsion_primes	smallint[]	[2]
torsion_structure	smallint[]	[2]

{'Ciso': '405e', 'Clabel': '405e1', 'Cnumber': 1, 'abc_quality': 0.7777818305444921, 'absD': 295245, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10, 'ainvs': [0, 0, 1, -27, 47], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 405, 'degree': 72, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.22319111329583564895225073428', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 1714, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [36864, 5], 'lmfdb_iso': '405.f', 'lmfdb_label': '405.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -3, -2], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['10.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 5], [5, 6, 81]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1387013538525937251149550984', 'prec': 97}, 'szpiro_ratio': 3.5811988783957456, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}