Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text
Clabel	text
Cnumber	smallint
abc_quality	double precision	0.6340308746019708
absD	numeric	232591043
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	465182086
ainvs	numeric[]	[1, 0, 0, -230, 1511]
analytic_rank	smallint	1
bad_primes	integer[]	[232591043]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	232591043
degree	bigint
elladic_images	text[]	[]
faltings_height	numeric	0.33157383670459171378762616496
faltings_index	smallint	1
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	0
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-1345938541921, 232591043]
lmfdb_iso	text	'232591043.a'
lmfdb_label	text	'232591043.a1'
lmfdb_number	smallint	1
manin_constant	smallint
min_quad_twist_ainvs	numeric[]	[1, 0, 0, -230, 1511]
min_quad_twist_disc	smallint	1
modell_images	text[]	[]
modm_images	text[]	['465182086.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	1
num_int_pts	integer	2
optimality	smallint
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	2.5712207447266033394757440142
semistable	boolean	True
serre_invariants	integer[]	[[232591043, 232591044, 1]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.33157383670459171378762616496
szpiro_ratio	double precision	1.4632605692882341
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '20181f', 'Clabel': '20181f1', 'Cnumber': 1, 'abc_quality': 1.1001959515897402, 'absD': 392801137983387, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, -1, 1, -40195106, 98099593124], 'analytic_rank': 0, 'bad_primes': [3, 7, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20181, 'degree': 1980000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7167053899859248015556288523', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 133976, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-7776720357545683677184, 425329947], 'lmfdb_iso': '20181.b', 'lmfdb_label': '20181.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -40195106, 98099593124], 'min_quad_twist_disc': 1, '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': [[2, 2, 2883], [3, 4, 6727], [7, 8, 2883], [11, 2, 6727], [31, 332, 21]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5720429884908760529125740775', 'prec': 97}, 'szpiro_ratio': 6.470758222106768, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}