Database - ec_nfcurves

Formats: - HTML - YAML - JSON - 2026-11-05T22:04:54.084635

Query: /api/ec_nfcurves/?_offset=0

Table ec_nfcurves

Elliptic curves over number fields other than $\Q$

Column	Type	Example
Lvalue	numeric	5.4344597146871307678879309483234377679
abs_disc	bigint	79
ainvs	text	'1,0;1,1;1,1;1292,178;18161,-3457'
analytic_rank	smallint	0
bad_primes	jsonb	['(2,w)', '(2,w+1)', '(13,w+10)', '(19,w+11)']
base_change	jsonb	[]
class_deg	integer	4
class_label	text	'2.0.79.1-988.8-b'
class_size	smallint	4
cm	integer	0
cm_type	smallint	0
conductor_ideal	text	'(494,2*w+98)'
conductor_label	text	'988.8'
conductor_norm	bigint	988
conductor_norm_factors	integer[]	[2, 13, 19]
degree	smallint	2
disc	text	'(-139722268*a+10836940560)'
equation	text	'{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(178a+1292\\right){x}-3457a+...
field_label	text	'2.0.79.1'
galois_images	jsonb	['2Cs']
gens	jsonb	[]
heights	numeric[]	[]
iso_label	text	'b'
iso_nlabel	smallint	1
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	'739468651268781/119107138592,-1115533362958889/119107138592'
label	text	'2.0.79.1-988.8-b4'
local_data	jsonb	[{'p': '(2,w)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5,...
minD	text	'(119107138592,4*w+118914056912)'
n_bad_primes	integer	4
ngens	smallint	0
non_min_p	jsonb	['(5,w)']
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
normdisc	numeric	116315565031250000000
number	smallint	4
omega	numeric	1.2075633624302155871279201636664873082
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	4.452883524491543
semistable	boolean	True
sha	integer	1
short_class_label	text	'988.8-b'
short_label	text	'988.8-b4'
signature	jsonb	[0, 1]
tamagawa_product	integer	80
torsion_gens	jsonb	['[[-45/4,5],[41/8,-3],[1,0]]']
torsion_order	smallint	2
torsion_primes	integer[]	[2]
torsion_structure	jsonb	[2]
trace_hash	bigint	2204405017676981517

{'Lvalue': {'__RealLiteral__': 0, 'data': '1.1640555026565483454526076765352111612', 'prec': 127}, 'abs_disc': 1012, 'ainvs': '0,0;-1,0;1,0;-1250,0;31239,0', 'analytic_rank': 0, 'bad_primes': ['(11,w)'], 'base_change': ['93104.x2', '121.d2'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-d', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(285311670611)', 'equation': '{y}^2+{y}={x}^3-{x}^2-1250{x}+31239', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'id': 799860, 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1012.1-11.1-d2', 'local_data': [{'p': '(11,w)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 81402749386839761113321, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-d', 'short_label': '11.1-d2', 'signature': [0, 1], 'tamagawa_product': 10, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2204756602368152212}