Elliptic curve data - 3.3.169.1-125.6-b3

Formats: - HTML - YAML - JSON - 2026-02-12T08:45:26.894104

• 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': '0.84616343037483606942454506972977024257', 'prec': 133}, 'abs_disc': 169, 'ainvs': '1,1,0;1,0,0;-2,0,1;-1954,-785,453;29516,8906,-9087', 'analytic_rank': 0, 'bad_primes': ['(-w^2+2*w+3)', '(-w+1)'], 'base_change': [], 'class_deg': 10, 'class_label': '3.3.169.1-125.6-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-3*w^2+7*w+6)', 'conductor_label': '125.6', 'conductor_norm': 125, 'conductor_norm_factors': [5], 'degree': 3, 'disc': '(21*w^2+166*w-307)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a^{2}-2\\right){y}={x}^{3}+{x}^{2}+\\left(453a^{2}-785a-1954\\right){x}-9087a^{2}+8906a+29516', 'field_label': '3.3.169.1', 'galois_images': ['2B', '5B.4.2'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'jinv': '346230473004096/25,1515529783362901/25,917921432246848/25', 'label': '3.3.169.1-125.6-b3', 'local_data': [{'p': '(-w^2+2*w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w+1)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 5, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 0}], 'minD': '(-21*w^2-166*w+307)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 48828125, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '11.000124594872868902519085906487013154', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 2.597567895320196, 'semistable': False, 'sha': 1, 'short_class_label': '125.6-b', 'short_label': '125.6-b3', 'signature': [3, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-221/4,-45/2,55/4],[87/4,91/8,-3],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 644077809118654588}