Elliptic curve data - 2.2.57.1-57.1-d3

Formats: - HTML - YAML - JSON - 2024-04-23T19:45:52.164251

• ec_nfcurves •

  Column	Type
  Lvalue	numeric
  abs_disc	bigint
  ainvs	text
  analytic_rank	smallint
  bad_primes	jsonb
  base_change	jsonb
  class_deg	integer
  class_label	text
  class_size	smallint
  cm	integer
  cm_type	smallint
  conductor_ideal	text
  conductor_label	text
  conductor_norm	bigint
  conductor_norm_factors	integer[]
  degree	smallint
  disc	text
  equation	text
  field_label	text
  galois_images	jsonb
  gens	jsonb
  heights	numeric[]
  iso_label	text
  iso_nlabel	smallint
  isodeg	integer[]
  isogeny_matrix	jsonb
  jinv	text
  label	text
  local_data	jsonb
  minD	text
  n_bad_primes	integer
  ngens	smallint
  non_min_p	jsonb
  nonmax_primes	smallint[]
  nonmax_rad	integer
  normdisc	numeric
  number	smallint
  omega	numeric
  potential_good_reduction	boolean
  q_curve	boolean
  rank	smallint
  rank_bounds	jsonb
  reducible_primes	integer[]
  reg	numeric
  root_analytic_conductor	double precision
  semistable	boolean
  sha	integer
  short_class_label	text
  short_label	text
  signature	jsonb
  tamagawa_product	integer
  torsion_gens	jsonb
  torsion_order	smallint
  torsion_primes	integer[]
  torsion_structure	jsonb
  trace_hash	bigint

  
  {'Lvalue': {'__RealLiteral__': 0, 'data': '0.29962965046546454670362767586868627299', 'prec': 133}, 'abs_disc': 57, 'ainvs': '1,0;0,-1;0,1;-60161,-18372;7533946,2300500', 'analytic_rank': 0, 'bad_primes': ['(4*w+13)', '(10*w-43)'], 'base_change': ['1083.a3', '171.a3'], 'class_deg': 8, 'class_label': '2.2.57.1-57.1-d', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w+1)', 'conductor_label': '57.1', 'conductor_norm': 57, 'conductor_norm_factors': [3, 19], 'degree': 2, 'disc': '(57)', 'equation': '{y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\\left(-18372a-60161\\right){x}+2300500a+7533946', 'field_label': '2.2.57.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '389017/57,0', 'label': '2.2.57.1-57.1-d3', 'local_data': [{'p': '(4*w+13)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(10*w-43)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(57)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3249, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '36.194468046596842401941955002438827416', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.853722388775545, 'semistable': True, 'sha': 1, 'short_class_label': '57.1-d', 'short_label': '57.1-d3', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[127/2,79/4],[-127/4,-83/8],[1,0]]', '[[-11,-3],[-1966,-601],[1,0]]'], 'torsion_order': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4], 'trace_hash': 180910142535732393}