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	'457878bf'
Clabel	text	'457878bf1'
Cnumber	smallint	1
abc_quality	double precision	0.9500233179661618
absD	numeric	481929150118612898932416
adelic_genus	integer	0
adelic_index	integer	2
adelic_level	bigint	102
ainvs	numeric[]	[1, 0, 0, -242233267, 1451469001121]
analytic_rank	smallint	1
bad_primes	integer[]	[2, 3, 17, 67]
class_deg	smallint	1
class_size	smallint	1
cm	smallint	0
conductor	integer	457878
degree	bigint	152824320
elladic_images	text[]	[]
faltings_height	numeric	3.5212752077541814083179613308
faltings_index	smallint	0
faltings_ratio	smallint	1
intrinsic_torsion	smallint	1
iso_nlabel	smallint	31
isogeny_degrees	smallint[]	[1]
jinv	numeric[]	[-862337048137, 264384]
lmfdb_iso	text	'457878.bf'
lmfdb_label	text	'457878.bf1'
lmfdb_number	smallint	1
manin_constant	smallint	1
min_quad_twist_ainvs	numeric[]	[1, 1, 0, -53961, -4848507]
min_quad_twist_disc	smallint	-67
modell_images	text[]	[]
modm_images	text[]	['102.2.0.?']
nonmax_primes	smallint[]	[]
nonmax_rad	integer	1
num_bad_primes	smallint	4
num_int_pts	integer	2
optimality	smallint	1
potential_good_reduction	boolean	False
rank	smallint	1
regulator	numeric	7.0751029201743202421480432671
semistable	boolean	False
serre_invariants	integer[]	[[2, 4, 228939], [3, 4, 76313], [5, 2, 152626], [17, 18, 26934], [67, 860, 102]]
sha	integer	1
sha_primes	smallint[]	[]
signD	smallint	-1
squarefree_disc	boolean
stable_faltings_height	numeric	0.017364691595043025259568000495
szpiro_ratio	double precision	5.334391429319003
torsion	smallint	1
torsion_primes	smallint[]	[]
torsion_structure	smallint[]	[]

{'Ciso': '34a', 'Clabel': '34a1', 'Cnumber': 1, 'abc_quality': 0.9000957170016773, 'absD': 1088, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 0, -3, 1], 'analytic_rank': 0, 'bad_primes': [2, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34, 'degree': 2, 'elladic_images': ['8.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.71639233654846198665198817793', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'id': 65, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3048625, 1088], 'lmfdb_iso': '34.a', 'lmfdb_label': '34.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['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', '34.6.0.a.1', '102.48.0.?', '136.12.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 2, 17], [17, 18, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71639233654846198665198817793', 'prec': 97}, 'szpiro_ratio': 4.233883950049846, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}