Elliptic curve data - 2.2.17.1-128.5-b12

Formats: - HTML - YAML - JSON - 2024-04-19T16:14:47.179433

• 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': '1.0149919402652544360615544656715643541', 'prec': 130}, 'abs_disc': 17, 'ainvs': '1,1;1,1;0,0;-27827,10858;-1789259,698508', 'analytic_rank': 0, 'bad_primes': ['(-w+2)', '(-w-1)'], 'base_change': [], 'class_deg': 24, 'class_label': '2.2.17.1-128.5-b', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-6*w-2)', 'conductor_label': '128.5', 'conductor_norm': 128, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-5056*w+18112)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(10858a-27827\\right){x}+698508a-1789259', 'field_label': '2.2.17.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 24, 8, 3, 6, 8, 4, 12, 12, 2, 24, 4], [24, 1, 3, 8, 4, 12, 6, 2, 8, 12, 4, 24], [8, 3, 1, 24, 12, 4, 2, 6, 24, 4, 12, 8], [3, 8, 24, 1, 2, 24, 12, 4, 4, 6, 8, 12], [6, 4, 12, 2, 1, 12, 6, 2, 2, 3, 4, 6], [8, 12, 4, 24, 12, 1, 2, 6, 24, 4, 3, 8], [4, 6, 2, 12, 6, 2, 1, 3, 12, 2, 6, 4], [12, 2, 6, 4, 2, 6, 3, 1, 4, 6, 2, 12], [12, 8, 24, 4, 2, 24, 12, 4, 1, 6, 8, 3], [2, 12, 4, 6, 3, 4, 2, 6, 6, 1, 12, 2], [24, 4, 12, 8, 4, 3, 6, 2, 8, 12, 1, 24], [4, 24, 8, 12, 6, 8, 4, 12, 3, 2, 24, 1]], 'jinv': '1020884965413408563/64,653762688677050897/64', 'label': '2.2.17.1-128.5-b12', 'local_data': [{'p': '(-w+2)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-w-1)', 'cp': 2, 'kod': -15, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 21, 'ord_den_j': 3}], 'minD': '(5056*w-18112)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 134217728, 'number': 12, 'omega': {'__RealLiteral__': 0, 'data': '4.1849189788642550372701347077248931578', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 1.2392687732660608, 'semistable': False, 'sha': 1, 'short_class_label': '128.5-b', 'short_label': '128.5-b12', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-409/4,161/4],[-235/8,87/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 174574354579756630}