Elliptic curve data - 2.0.4.1-5200.1-b4

Formats: - HTML - YAML - JSON - 2026-07-28T22:10:29.347293

• 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': '2.2664216176561498707722014614119960309', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;-1,0;1,1;-1716,-1973;51831,-86413', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(-3*w-2)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.0.4.1-5200.1-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-24*w-68)', 'conductor_label': '5200.1', 'conductor_norm': 5200, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(4443320261632*w+1175544577024)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+\\left(i+1\\right){y}={x}^{3}-{x}^{2}+\\left(-1973i-1716\\right){x}-86413i+51831', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': ['[[7683/289,-14964/289],[-107127/4913,-2576696/4913],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.6375213888063645764074835824037037717', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 3, 6, 2, 9, 18], [3, 1, 2, 6, 3, 6], [6, 2, 1, 3, 6, 3], [2, 6, 3, 1, 18, 9], [9, 3, 6, 18, 1, 2], [18, 6, 3, 9, 2, 1]], 'jinv': '2783266907131437289/20629882812500000,8418015312387897223/20629882812500000', 'label': '2.0.4.1-5200.1-b4', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -17, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 21, 'ord_den_j': 9}, {'p': '(-w-2)', 'cp': 4, 'kod': -22, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 24, 'ord_den_j': 18}, {'p': '(-3*w-2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(1175544577024*w-4443320261632)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 21125000000000000000000000, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.10741247574687159971573279292516384456', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '2.6375213888063645764074835824037037717', 'prec': 130}, 'root_analytic_conductor': 1.5176421682442536, 'semistable': False, 'sha': 1, 'short_class_label': '5200.1-b', 'short_label': '5200.1-b4', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-51,-5/2],[95/4,105/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1122520343577936580}