Elliptic curve data - 2.0.4.1-2000.2-b6

Formats: - HTML - YAML - JSON - 2024-12-26T16:50:49.116220

• 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': '1.4362478514767635840642524761134849816', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;1,0;1,1;3,3;1,5', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.4.1-2000.2-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-20*w-40)', 'conductor_label': '2000.2', 'conductor_norm': 2000, 'conductor_norm_factors': [2, 5], 'degree': 2, 'disc': '(-4400*w+11700)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+\\left(i+1\\right){y}={x}^{3}+{x}^{2}+\\left(3i+3\\right){x}+5i+1', 'field_label': '2.0.4.1', 'galois_images': ['2Cs', '3B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 4, 3, 12, 6, 2, 4, 12], [4, 1, 12, 3, 6, 2, 4, 12], [3, 12, 1, 4, 2, 6, 12, 4], [12, 3, 4, 1, 2, 6, 12, 4], [6, 6, 2, 2, 1, 3, 6, 2], [2, 2, 6, 6, 3, 1, 2, 6], [4, 4, 12, 12, 6, 2, 1, 3], [12, 12, 4, 4, 2, 6, 3, 1]], 'jinv': '21296/25,0', 'label': '2.0.4.1-2000.2-b6', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(4400*w-11700)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 156250000, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '2.8724957029535271681285049522269699633', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 1.195159995817362, 'semistable': False, 'sha': 1, 'short_class_label': '2000.2-b', 'short_label': '2000.2-b6', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[-1,-1/2],[-1/4,1/4],[1,0]]', '[[-1,2],[1,-1],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1718677136030847040}