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	3.2584225737877480807419379430138903276
abs_disc	bigint	8
ainvs	text	'1,0;1,-1;1,1;0,3;8,3'
analytic_rank	smallint	1
bad_primes	jsonb	['(-w-1)', '(w-1)', '(-3*w+1)', '(5)']
base_change	jsonb	[]
class_deg	integer	4
class_label	text	'2.0.8.1-12825.3-a'
class_size	smallint	4
cm	integer	0
cm_type	smallint	0
conductor_ideal	text	'(-30*w+105)'
conductor_label	text	'12825.3'
conductor_norm	bigint	12825
conductor_norm_factors	integer[]	[3, 5, 19]
degree	smallint	2
disc	text	'(1740*w-1815)'
equation	text	'{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a+1\\right){x}^{2}+3a{x}+3a+8'
field_label	text	'2.0.8.1'
galois_images	jsonb	['2B']
gens	jsonb	['[[-2,-1],[-5,1],[1,0]]']
heights	numeric[]	[1.3913580253495542883260134459273375205]
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	'4206143/855,-4163492/855'
label	text	'2.0.8.1-12825.3-a3'
local_data	jsonb	[{'p': '(-w-1)', 'cp': 2, 'kod': -6, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': ...
minD	text	'(1740*w-1815)'
n_bad_primes	integer	4
ngens	smallint	1
non_min_p	jsonb	[]
nonmax_primes	smallint[]	[2]
nonmax_rad	integer	2
normdisc	numeric	9349425
number	smallint	3
omega	numeric	3.3119479758889339476256994771651071174
potential_good_reduction	boolean	False
q_curve	boolean	False
rank	smallint	1
rank_bounds	jsonb	[1, 1]
reducible_primes	integer[]	[2]
reg	numeric	1.3913580253495542883260134459273375205
root_analytic_conductor	double precision	2.689663134707711
semistable	boolean	False
sha	integer	1
short_class_label	text	'12825.3-a'
short_label	text	'12825.3-a3'
signature	jsonb	[0, 1]
tamagawa_product	integer	2
torsion_gens	jsonb	['[[-1,1],[0,-1],[1,0]]']
torsion_order	smallint	2
torsion_primes	integer[]	[2]
torsion_structure	jsonb	[2]
trace_hash	bigint	654769669904448783

{'Lvalue': {'__RealLiteral__': 0, 'data': '1.3959884284571231043045168341330967571', 'prec': 127}, 'abs_disc': 120, 'ainvs': '1,0;0,0;1,0;-33601,0;2367848,0', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(3,w)', '(7)'], 'base_change': ['4032.e1', '1050.i1'], 'class_deg': 8, 'class_label': '2.0.120.1-294.1-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(42,7*w)', 'conductor_label': '294.1', 'conductor_norm': 294, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(3937500)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-33601{x}+2367848', 'field_label': '2.0.120.1', 'galois_images': ['2B'], 'gens': ['[[112,0],[56,0],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.69754731717885973496165699727786621913', 'prec': 127}], 'id': 771644, 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '268498407453697/252,0', 'label': '2.0.120.1-294.1-b6', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(3,w)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(5,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 5, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(7)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 49, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(252)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(5,w)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 15503906250000, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '0.68509183306601454759224479552410462677', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.69754731717885973496165699727786621913', 'prec': 127}, 'root_analytic_conductor': 4.053367762674899, 'semistable': True, 'sha': 4, 'short_class_label': '294.1-b', 'short_label': '294.1-b6', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[423/4,0],[-427/8,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1429900895696850610}