Elliptic curve data - 2.0.3.1-99372.5-k3

Formats: - HTML - YAML - JSON - 2024-04-24T23:41:43.622581

• 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': '6.0525469942950342861712089193410331228', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,1;0,0;1,0;0,121;-4948,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-3*w+1)', '(3*w-2)', '(-4*w+1)', '(4*w-3)', '(2)'], 'base_change': ['546.d2', '1638.l2'], 'class_deg': 9, 'class_label': '2.0.3.1-99372.5-k', 'class_size': 5, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-364*w+182)', 'conductor_label': '99372.5', 'conductor_norm': 99372, 'conductor_norm_factors': [2, 3, 7, 13], 'degree': 2, 'disc': '(-10417365504)', 'equation': '{y}^2+a{x}{y}+{y}={x}^{3}+121a{x}-4948', 'field_label': '2.0.3.1', 'galois_images': ['3Cs.1.1[2]'], 'gens': ['[[5,-19],[4,42],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.16183358794657918248531448649323987802', 'prec': 133}], 'iso_label': 'k', 'iso_nlabel': 10, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 9, 3, 9, 9], [9, 1, 3, 9, 9], [3, 3, 1, 3, 3], [9, 9, 3, 1, 9], [9, 9, 3, 9, 1]], 'jinv': '-198461344537/10417365504,0', 'label': '2.0.3.1-99372.5-k3', 'local_data': [{'p': '(-2*w+1)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-3*w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(3*w-2)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(-4*w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(4*w-3)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(2)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}], 'minD': '(10417365504)', 'n_bad_primes': 6, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 108521504043929174016, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.29989994323955062918117317289800064944', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.16183358794657918248531448649323987802', 'prec': 133}, 'root_analytic_conductor': 2.7479902566219083, 'semistable': True, 'sha': 1, 'short_class_label': '99372.5-k', 'short_label': '99372.5-k3', 'signature': [0, 1], 'tamagawa_product': 4374, 'torsion_gens': ['[[-30,30],[-122,0],[1,0]]', '[[3,-27],[-122,0],[1,0]]'], 'torsion_order': 9, 'torsion_primes': [3], 'torsion_structure': [3, 3], 'trace_hash': 466503238101039332}