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	1.22374956
abs_disc	bigint	24217
ainvs	text	'0,1,0,0,0;1,-4,-5,1,1;2,0,-5,0,1;-293,-47,491,23,-99;-2056,-663,3790,297,-790'
analytic_rank	smallint	0
bad_primes	jsonb	['(2*w^4-w^3-9*w^2+2*w+3)', '(-3*w^4+2*w^3+14*w^2-6*w-8)']
base_change	jsonb	[]
class_deg	integer	4
class_label	text	'5.5.24217.1-295.1-a'
class_size	smallint	4
cm	integer	0
cm_type	smallint	0
conductor_ideal	text	'(w^4+w^3-5*w^2-6*w+3)'
conductor_label	text	'295.1'
conductor_norm	bigint	295
conductor_norm_factors	integer[]	[5, 59]
degree	smallint	5
disc	text	'(22*w^4-2*w^3-111*w^2-24*w+76)'
equation	text	'{y}^2+a{x}{y}+\\left(a^{4}-5a^{2}+2\\right){y}={x}^{3}+\\left(a^{4}+a^{3}-5a^{2}-4a+1\\right){x}^{2...
field_label	text	'5.5.24217.1'
galois_images	jsonb	['2B']
gens	jsonb	[]
heights	numeric[]	[]
iso_label	text	'a'
iso_nlabel	smallint	0
isodeg	integer[]	[1, 2, 4]
isogeny_matrix	jsonb	[[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]]
jinv	text	'57510538899159741013644/60586805,238026351342374196362699/60586805,213561003702752245229313/6058680...
label	text	'5.5.24217.1-295.1-a3'
local_data	jsonb	[{'p': '(2*w^4-w^3-9*w^2+2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond':...
minD	text	'(22*w^4-2*w^3-111*w^2-24*w+76)'
n_bad_primes	integer	2
ngens	smallint	0
non_min_p	jsonb	[]
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
normdisc	numeric	-60586805
number	smallint	3
omega	numeric	190.43760859876187121936287313441604076
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	24.557317543031974
semistable	boolean	True
sha	integer	1
short_class_label	text	'295.1-a'
short_label	text	'295.1-a3'
signature	jsonb	[5, 0]
tamagawa_product	integer	4
torsion_gens	jsonb	['[[23,6,-141/4,-3,7],[5/2,-1,-4,1/8,1],[1,0,0,0,0]]']
torsion_order	smallint	2
torsion_primes	integer[]	[2]
torsion_structure	jsonb	[2]
trace_hash	bigint	1634151642406065332

{'Lvalue': {'__RealLiteral__': 0, 'data': '1.4374719775917526864323750526321656743', 'prec': 127}, 'abs_disc': 15, 'ainvs': '1,1;0,0;0,0;87,29;364,-156', 'analytic_rank': 2, 'bad_primes': ['(5,w+2)', '(11)'], 'base_change': ['275.a2', '495.a2'], 'class_deg': 4, 'class_label': '2.0.15.1-605.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(55,11*w+22)', 'conductor_label': '605.1', 'conductor_norm': 605, 'conductor_norm_factors': [5, 11], 'degree': 2, 'disc': '(-2415765*a+951665)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(29a+87\\right){x}-156a+364', 'field_label': '2.0.15.1', 'galois_images': ['2Cs'], 'gens': ['[[-7/3,7/3],[80/9,-16/9],[1,0]]', '[[-3,3],[7,-3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.32965794500566571076963965595464866546', 'prec': 127}, {'__RealLiteral__': 0, 'data': '0.59612262310663940712038741071359873429', 'prec': 127}], 'id': 736315, 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '2749884201/73205,0', 'label': '2.0.15.1-605.1-a3', 'local_data': [{'p': '(2,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(5,w+2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(11)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 121, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(73205)', 'n_bad_primes': 2, 'ngens': 2, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 21950349414400, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '1.7706221109565404793015936143284589123', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.19651655890472172117308640992960864056', 'prec': 127}, 'root_analytic_conductor': 1.716417867152241, 'semistable': True, 'sha': 1, 'short_class_label': '605.1-a', 'short_label': '605.1-a3', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[-13/4,13/4],[65/8,-13/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 252434293874574062}