Database - ec_nfcurves

Formats: - HTML - YAML - JSON - 2026-10-24T00:37:42.374061

Query: /api/ec_nfcurves/?_offset=0

Table ec_nfcurves

Elliptic curves over number fields other than $\Q$

Column	Type	Example
Lvalue	numeric	0.29907230662607216726582256449472983478
abs_disc	bigint	820
ainvs	text	'0,0;1,0;0,0;-41,0;-116,0'
analytic_rank	smallint	0
bad_primes	jsonb	['(2,w+1)', '(5,w)']
base_change	jsonb	['20.a1', '672400.?.?']
class_deg	integer	6
class_label	text	'2.0.820.1-20.1-c'
class_size	smallint	4
cm	integer	0
cm_type	smallint	0
conductor_ideal	text	'(10,2*w)'
conductor_label	text	'20.1'
conductor_norm	bigint	20
conductor_norm_factors	integer[]	[2, 5]
degree	smallint	2
disc	text	'(2000)'
equation	text	'{y}^2={x}^3+{x}^2-41{x}-116'
field_label	text	'2.0.820.1'
galois_images	jsonb	['2B', '3B.1.1']
gens	jsonb	[]
heights	numeric[]	[]
iso_label	text	'c'
iso_nlabel	smallint	2
isodeg	integer[]	[1, 2, 3, 6]
isogeny_matrix	jsonb	[[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]]
jinv	text	'488095744/125,0'
label	text	'2.0.820.1-20.1-c4'
local_data	jsonb	[{'p': '(2,w+1)', 'cp': 1, 'kod': -4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc':...
minD	text	'(2000)'
n_bad_primes	integer	2
ngens	smallint	0
non_min_p	jsonb	[]
nonmax_primes	smallint[]	[2, 3]
nonmax_rad	integer	6
normdisc	numeric	4000000
number	smallint	4
omega	numeric	4.2820637712534201167782961301597664923
potential_good_reduction	boolean	False
q_curve	boolean	True
rank	smallint	0
rank_bounds	jsonb	[0, 0]
reducible_primes	integer[]	[2, 3]
reg	numeric	1
root_analytic_conductor	double precision	5.411317031910459
semistable	boolean	False
sha	integer	4
short_class_label	text	'20.1-c'
short_label	text	'20.1-c4'
signature	jsonb	[0, 1]
tamagawa_product	integer	2
torsion_gens	jsonb	['[[-4,0],[0,0],[1,0]]']
torsion_order	smallint	2
torsion_primes	integer[]	[2]
torsion_structure	jsonb	[2]
trace_hash	bigint	623806641571967831

{'Lvalue': {'__RealLiteral__': 0, 'data': '1.4300436586710675918378835151377877650', 'prec': 127}, 'abs_disc': 4, 'ainvs': '0,0;-1,0;0,0;-47,-48;-64,-182', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.4.1-26000.6-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(20*w+160)', 'conductor_label': '26000.6', 'conductor_norm': 26000, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-71360*w+37520)', 'equation': '{y}^2={x}^{3}-{x}^{2}+\\left(-48i-47\\right){x}-182i-64', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'id': 153119, 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 8, 8], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 2, 2], [8, 8, 4, 2, 1, 4], [8, 8, 4, 2, 4, 1]], 'jinv': '-129542144/325,-43261952/325', 'label': '2.0.4.1-26000.6-a1', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+1)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}, {'p': '(2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-37520*w-71360)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 6500000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.4300436586710675918378835151377877650', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.269404366613975, 'semistable': False, 'sha': 1, 'short_class_label': '26000.6-a', 'short_label': '26000.6-a1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[-4,-2],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 129063619963945393}