Elliptic curve data - 2.2.5.1-124.2-a4

Formats: - HTML - YAML - JSON - 2024-05-22T17:35:07.368783

• 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': '0.74430627997559412591536838844838632858', 'prec': 133}, 'abs_disc': 5, 'ainvs': '0,1;1,1;1,0;-6949,3305;-245838,135572', 'analytic_rank': 0, 'bad_primes': ['(5*w-3)', '(2)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.2.5.1-124.2-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(10*w-6)', 'conductor_label': '124.2', 'conductor_norm': 124, 'conductor_norm_factors': [2, 31], 'degree': 2, 'disc': '(-10*w+68)', 'equation': '{y}^2+\\phi{x}{y}+{y}={x}^{3}+\\left(\\phi+1\\right){x}^{2}+\\left(3305\\phi-6949\\right){x}+135572\\phi-245838', 'field_label': '2.2.5.1', 'galois_images': ['2B', '3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 6, 2, 3, 3, 6], [6, 1, 3, 18, 2, 9], [2, 3, 1, 6, 6, 3], [3, 18, 6, 1, 9, 2], [3, 2, 6, 9, 1, 18], [6, 9, 3, 2, 18, 1]], 'jinv': '409200938629598486692765/1922,-126450044150706565168740/961', 'label': '2.2.5.1-124.2-a4', 'local_data': [{'p': '(5*w-3)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 31, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(10*w-68)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 3844, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.36984876402342643915846770498122297082', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 0.6667744916624626, 'semistable': True, 'sha': 9, 'short_class_label': '124.2-a', 'short_label': '124.2-a4', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-109/4,179/4],[-183/8,-35/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2230490487195541380}