Database - ec_curvedata

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Table ec_curvedata

Elliptic curves over $\Q$.

Column	Type	Example
Ciso	text	'282870l'
Clabel	text	'282870l3'
Cnumber	smallint	3
abc_quality	double precision	0.9948096017976622
absD	numeric	8083559512822500
adelic_genus	integer	1
adelic_index	integer	96
adelic_level	bigint	10776
ainvs	numeric[]	[1, -1, 0, -831642075, 9231293840625]
analytic_rank	smallint	0
bad_primes	integer[]	[2, 3, 5, 7, 449]
class_deg	smallint	6
class_size	smallint	4
cm	smallint	0
conductor	integer	282870
degree	bigint	52254720
elladic_images	text[]	['8.6.0.1', '3.8.0.1']
faltings_height	numeric	3.3835421095221358484167879645
faltings_index	smallint	2
faltings_ratio	smallint	3
intrinsic_torsion	smallint	1
iso_nlabel	smallint	11
isogeny_degrees	smallint[]	[1, 2, 3, 6]
jinv	numeric[]	[87258058187800274596436353201, 11088559002500]
lmfdb_iso	text	'282870.l'
lmfdb_label	text	'282870.l2'
lmfdb_number	smallint	2
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 0, 0, -92404675, -341899771875]
min_quad_twist_disc	smallint	-3
modell_images	text[]	['2B', '3B.1.1']
modm_images	text[]	['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.c.1', '24.48.0-24.bw.1.15', '898.6.0.?', '26...
nonmax_primes	smallint[]	[2, 3]
nonmax_rad	integer	6
num_bad_primes	smallint	5
num_int_pts	integer	5
optimality	smallint	0
potential_good_reduction	boolean	False
rank	smallint	0
regulator	numeric	1
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 4041], [3, 2, 70], [5, 6, 56574], [7, 8, 40410], [449, 450, 630]]
sha	integer	9
sha_primes	smallint[]	[3]
signD	smallint	1
squarefree_disc	boolean
stable_faltings_height	numeric	2.8342359651880810027191653460
szpiro_ratio	double precision	5.833812009509014
torsion	smallint	6
torsion_primes	smallint[]	[2, 3]
torsion_structure	smallint[]	[6]

{'Ciso': '33a', 'Clabel': '33a3', 'Cnumber': 3, 'abc_quality': 1.0091329432672695, 'absD': 395307, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -146, 621], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120205', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 4, 'id': 63, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [347873904937, 395307], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -146, 621], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '12.24.0-12.h.1.2', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 3], [3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120205', 'prec': 97}, 'szpiro_ratio': 7.600471453800636, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}