Database - ec_curvedata

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Query: /api/ec_curvedata/?_offset=0

Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'78870b'
Clabel	text	'78870b1'
Cnumber	smallint	1
abc_quality	double precision	0.8357126127661428
absD	numeric	3464207010
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	105160
ainvs	numeric[]	[1, 1, 0, 248, 2506]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 5, 11, 239]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	78870
degree	bigint	69120
elladic_images	text[]	[]
faltings_height	numeric	0.51484379588383927270209786429
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	5
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[1676253304439, 3464207010]
lmfdb_iso	text	'78870.f'
lmfdb_label	text	'78870.f1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 1, 0, 248, 2506]
min_quad_twist_disc	smallint	1
modell_images	text[]	[]
modm_images	text[]	['105160.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	5
num_int_pts	integer	2
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	2.5613730999810739080928115466
semistable	boolean	True
serre_invariants	integer[]	[[2, 4, 13145], [3, 4, 26290], [5, 6, 1434], [11, 12, 7170], [239, 240, 330]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.51484379588383927270209786429
szpiro_ratio	double precision	2.5800886849547733
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '67a', 'Clabel': '67a1', 'Cnumber': 1, 'abc_quality': 0.8765587928270674, 'absD': 67, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 134, 'ainvs': [0, 1, 1, -12, -21], 'analytic_rank': 0, 'bad_primes': [67], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 67, 'degree': 5, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.67526661334726782079910049622', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 190, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-207474688, 67], 'lmfdb_iso': '67.a', 'lmfdb_label': '67.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -12, -21], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['134.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[67, 68, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67526661334726782079910049622', 'prec': 97}, 'szpiro_ratio': 4.554691509527169, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}