Database - ec_nfcurves

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Query: /api/ec_nfcurves/?_offset=0

Table ec_nfcurves

Elliptic curves over number fields other than $\Q$

Column	Type	Example
Lvalue	numeric	0.906136098929472
abs_disc	bigint	4352
ainvs	text	'-2,0,1,0;-3,-2,1,0;1,1,0,0;-19,-15,3,2;-24,-24,2,4'
analytic_rank	smallint	0
bad_primes	jsonb	['(5*w^3-4*w^2-23*w-5)']
base_change	jsonb	[]
class_deg	integer	6
class_label	text	'4.4.4352.1-449.1-b'
class_size	smallint	4
cm	integer	0
cm_type	smallint	0
conductor_ideal	text	'(5*w^3-4*w^2-23*w-5)'
conductor_label	text	'449.1'
conductor_norm	bigint	449
conductor_norm_factors	integer[]	[449]
degree	smallint	4
disc	text	'(-8*w^3+19*w^2+28*w-29)'
equation	text	'{y}^2+\\left(a^{2}-2\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a^{2}-2a-3\\right){x}^{2}+\...
field_label	text	'4.4.4352.1'
galois_images	jsonb	['2B', '3B']
gens	jsonb	[]
heights	numeric[]	[]
iso_label	text	'b'
iso_nlabel	smallint	1
isodeg	integer[]	[1, 2, 3, 6]
isogeny_matrix	jsonb	[[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]]
jinv	text	'-3627545822912/201601,-3576440826880/201601,203477732096/201601,607431928576/201601'
label	text	'4.4.4352.1-449.1-b2'
local_data	jsonb	[{'p': '(5*w^3-4*w^2-23*w-5)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 449, 'rootno': 1, 'ord_cond': ...
minD	text	'(8*w^3-19*w^2-28*w+29)'
n_bad_primes	integer	1
ngens	smallint	0
non_min_p	jsonb	[]
nonmax_primes	smallint[]	[2, 3]
nonmax_rad	integer	6
normdisc	numeric	201601
number	smallint	2
omega	numeric	119.55503510628307630961584056808149546
potential_good_reduction	boolean	False
q_curve	boolean	False
rank	smallint	0
rank_bounds	jsonb	[0, 0]
reducible_primes	integer[]	[2, 3]
reg	numeric	1
root_analytic_conductor	double precision	12.647765053157075
semistable	boolean	True
sha	integer	1
short_class_label	text	'449.1-b'
short_label	text	'449.1-b2'
signature	jsonb	[4, 0]
tamagawa_product	integer	2
torsion_gens	jsonb	['[[5,6,-1/2,-1],[4,11/2,1/2,-1],[1,0,0,0]]']
torsion_order	smallint	2
torsion_primes	integer[]	[2]
torsion_structure	jsonb	[2]
trace_hash	bigint	1475708573203867414

{'Lvalue': {'__RealLiteral__': 0, 'data': '7.6149896445357549648488428197312556072', 'prec': 127}, 'abs_disc': 660, 'ainvs': '1,0;-1,0;1,0;7,0;-8,0', 'analytic_rank': 2, 'bad_primes': ['(5,w)', '(11,w)'], 'base_change': ['48400.bt4', '495.a4'], 'class_deg': 4, 'class_label': '2.0.660.1-55.1-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(55,w)', 'conductor_label': '55.1', 'conductor_norm': 55, 'conductor_norm_factors': [5, 11], 'degree': 2, 'disc': '(40095)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-{x}^2+7{x}-8', 'field_label': '2.0.660.1', 'galois_images': ['2Cs'], 'gens': ['[[-782/3481,-588/3481],[240577/205379,-19152/205379],[1,0]]', '[[2,0],[2,0],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.9370673074528633267438286764002631788', 'prec': 127}, {'__RealLiteral__': 0, 'data': '1.3186317800226628430785586238185946618', 'prec': 127}], 'id': 789577, 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '59319/55,0', 'label': '2.0.660.1-55.1-b1', 'local_data': [{'p': '(3,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 3, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(5,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(55)', 'n_bad_primes': 2, 'ngens': 2, 'non_min_p': ['(3,w)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1607609025, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '14.164976887652323834412748914627671298', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '3.4527523004098652830018694922289218553', 'prec': 127}, 'root_analytic_conductor': 6.251744110553248, 'semistable': True, 'sha': 1, 'short_class_label': '55.1-b', 'short_label': '55.1-b1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[1,0],[-1,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1400839006525015374}