Elliptic curve data - 2.2.17.1-676.1-e3

Formats: - HTML - YAML - JSON - 2024-05-27T23:27:34.773915

• 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': '1.7114898269397061907826063829143149991', 'prec': 130}, 'abs_disc': 17, 'ainvs': '1,0;1,1;0,1;-37,10;45,-17', 'analytic_rank': 1, 'bad_primes': ['(-w+2)', '(-w-1)', '(-2*w+3)', '(2*w+1)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.2.17.1-676.1-e', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26)', 'conductor_label': '676.1', 'conductor_norm': 676, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(313664*w-475904)', 'equation': '{y}^2+{x}{y}+a{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(10a-37\\right){x}-17a+45', 'field_label': '2.2.17.1', 'galois_images': ['2Cs'], 'gens': ['[[5,-2],[-11,3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.23987934069577098249634062983753643509', 'prec': 133}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '140497714829/29246464,49701765015/29246464', 'label': '2.2.17.1-676.1-e3', 'local_data': [{'p': '(-w+2)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(-w-1)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-2*w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(313664*w-475904)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 316329754624, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '7.3543779480703171397244876120176185044', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.23987934069577098249634062983753643509', 'prec': 133}, 'root_analytic_conductor': 1.8786664869903316, 'semistable': True, 'sha': 1, 'short_class_label': '676.1-e', 'short_label': '676.1-e3', 'signature': [2, 0], 'tamagawa_product': 32, 'torsion_gens': ['[[2,-3],[-1,1],[1,0]]', '[[1,-1/4],[-1/2,-3/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 2130180667596249505}