Elliptic curve data - 2.0.4.1-8450.9-b2

Formats: - HTML - YAML - JSON - 2026-09-07T13:14:42.360146

• 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': '1.5947230386389328961084726220345554723', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,0;1,0;0,0;-277,86;-2511,498', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.4.1-8450.9-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(47*w-79)', 'conductor_label': '8450.9', 'conductor_norm': 8450, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-274483142*w-1412745656)', 'equation': '{y}^2+{x}{y}={x}^{3}+{x}^{2}+\\left(86i-277\\right){x}+498i-2511', 'field_label': '2.0.4.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 2, 10, 5], [2, 1, 5, 10], [10, 5, 1, 2], [5, 10, 2, 1]], 'jinv': '-2706038/3125,10462207/6250', 'label': '2.0.4.1-8450.9-b2', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 4, 'kod': -9, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 11, 'ord_den_j': 5}, {'p': '(2*w+3)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 13, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 0}], 'minD': '(274483142*w+1412745656)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 2071191283789062500, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.39868075965973322402711815550863886809', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 1.7134945459456261, 'semistable': False, 'sha': 1, 'short_class_label': '8450.9-b', 'short_label': '8450.9-b2', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-12,6],[6,-3],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1684314062788478493}