Database - ec_nfcurves

Formats: - HTML - YAML - JSON - 2026-10-22T21:35:15.801451

Query: /api/ec_nfcurves/?_offset=0

Table ec_nfcurves

Elliptic curves over number fields other than $\Q$

Column	Type	Example
Lvalue	numeric	2.45981682763702
abs_disc	bigint	8112
ainvs	text	'-2,-3,1,1;4,4,-1,-1;1,1,0,0;10,13,-2,-3;-7,-8,2,2'
analytic_rank	smallint	0
bad_primes	jsonb	['(w)', '(2*w^2-w-7)']
base_change	jsonb	[]
class_deg	integer	2
class_label	text	'4.4.8112.1-159.2-b'
class_size	smallint	2
cm	integer	0
cm_type	smallint	0
conductor_ideal	text	'(-2*w^3+w^2+7*w)'
conductor_label	text	'159.2'
conductor_norm	bigint	159
conductor_norm_factors	integer[]	[3, 53]
degree	smallint	4
disc	text	'(17*w^3-42*w^2-57*w+117)'
equation	text	'{y}^2+\\left(a^{3}+a^{2}-3a-2\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a^{3}-a^{2}+4a+4\...
field_label	text	'4.4.8112.1'
galois_images	jsonb	['2B']
gens	jsonb	[]
heights	numeric[]	[]
iso_label	text	'b'
iso_nlabel	smallint	1
isodeg	integer[]	[1, 2]
isogeny_matrix	jsonb	[[1, 2], [2, 1]]
jinv	text	'693637696/227529,144366976/227529,-374243264/227529,-164286080/227529'
label	text	'4.4.8112.1-159.2-b1'
local_data	jsonb	[{'p': '(w)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, ...
minD	text	'(-17*w^3+42*w^2+57*w-117)'
n_bad_primes	integer	2
ngens	smallint	0
non_min_p	jsonb	[]
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
normdisc	numeric	18429849
number	smallint	1
omega	numeric	221.54744158457151311098633751972176540
potential_good_reduction	boolean	False
q_curve	boolean	False
rank	smallint	0
rank_bounds	jsonb	[0, 0]
reducible_primes	integer[]	[2]
reg	numeric	1
root_analytic_conductor	double precision	15.166213487269584
semistable	boolean	True
sha	integer	1
short_class_label	text	'159.2-b'
short_label	text	'159.2-b1'
signature	jsonb	[4, 0]
tamagawa_product	integer	4
torsion_gens	jsonb	['[[-3,-9/2,1/2,1],[-13/2,-29/4,7/4,7/4],[1,0,0,0]]']
torsion_order	smallint	2
torsion_primes	integer[]	[2]
torsion_structure	jsonb	[2]
trace_hash	bigint	1735482502138865683

{'Lvalue': {'__RealLiteral__': 0, 'data': '4.0403424535070123958541748740800818950', 'prec': 127}, 'abs_disc': 11, 'ainvs': '0,0;0,1;0,0;-1,1;-1,0', 'analytic_rank': 0, 'bad_primes': ['(2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.11.1-4096.1-g', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(64)', 'conductor_label': '4096.1', 'conductor_norm': 4096, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(64)', 'equation': '{y}^2={x}^{3}+a{x}^{2}+\\left(a-1\\right){x}-1', 'field_label': '2.0.11.1', 'galois_images': ['2Cn', '3Nn'], 'gens': [], 'heights': [], 'id': 4114, 'iso_label': 'g', 'iso_nlabel': 6, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '1536,1024', 'label': '2.0.11.1-4096.1-g1', 'local_data': [{'p': '(2)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 4, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(64)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 4096, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '6.7001499714133584246381494767825738232', 'prec': 127}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 2.3709635809725422, 'semistable': False, 'sha': 1, 'short_class_label': '4096.1-g', 'short_label': '4096.1-g1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 749110505327239917}