Elliptic curve data - 2.0.11.1-19404.2-f2

Formats: - HTML - YAML - JSON - 2026-01-15T12:15:21.715915

• 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': '5.1918637193978884147492650851298789144', 'prec': 130}, 'abs_disc': 11, 'ainvs': '1,0;1,0;0,0;-16,0;-20,0', 'analytic_rank': 2, 'bad_primes': ['(-w)', '(w-1)', '(-2*w+1)', '(2)', '(7)'], 'base_change': ['462.a3', '5082.q3'], 'class_deg': 4, 'class_label': '2.0.11.1-19404.2-f', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-84*w+42)', 'conductor_label': '19404.2', 'conductor_norm': 19404, 'conductor_norm_factors': [2, 3, 7, 11], 'degree': 2, 'disc': '(213444)', 'equation': '{y}^2+{x}{y}={x}^{3}+{x}^{2}-16{x}-20', 'field_label': '2.0.11.1', 'galois_images': ['2Cs'], 'gens': ['[[-3,0],[5,0],[1,0]]', '[[-2,-4],[22,4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.50340411585919074963442577700482439935', 'prec': 133}, {'__RealLiteral__': 0, 'data': '0.73532471438186227275691118401632044783', 'prec': 133}], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '498677257/213444,0', 'label': '2.0.11.1-19404.2-f2', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(w-1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-2*w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(7)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 49, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(213444)', 'n_bad_primes': 5, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 45558341136, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.7538721306108325648496769725476048326', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.30681156174681995614104922917326218453', 'prec': 133}, 'root_analytic_conductor': 3.497902602460424, 'semistable': True, 'sha': 1, 'short_class_label': '19404.2-f', 'short_label': '19404.2-f2', 'signature': [0, 1], 'tamagawa_product': 64, 'torsion_gens': ['[[-4,0],[2,0],[1,0]]', '[[-5/4,0],[5/8,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 2004761784268952164}