Elliptic curve data - 2.0.4.1-289.2-a1

Formats: - HTML - YAML - JSON - 2025-05-14T01:21:53.402542

• 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': '0.54062136554330114274376879552085033659', 'prec': 133}, 'abs_disc': 4, 'ainvs': '0,1;1,0;0,1;0,0;14,0', 'analytic_rank': 1, 'bad_primes': ['(w+4)', '(w-4)'], 'base_change': ['17.a3', '272.b4'], 'class_deg': 8, 'class_label': '2.0.4.1-289.2-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(17)', 'conductor_label': '289.2', 'conductor_norm': 289, 'conductor_norm_factors': [17], 'degree': 2, 'disc': '(-83521)', 'equation': '{y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+14', 'field_label': '2.0.4.1', 'galois_images': ['2Cs'], 'gens': ['[[-7,17],[-68,20],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.50907435867268458553052618725892559588', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 2, 2, 4], [4, 1, 8, 8, 2, 4], [2, 8, 1, 4, 4, 8], [2, 8, 4, 1, 4, 8], [2, 2, 4, 4, 1, 2], [4, 4, 8, 8, 2, 1]], 'jinv': '-35937/83521,0', 'label': '2.0.4.1-289.2-a1', 'local_data': [{'p': '(w+4)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w-4)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(83521)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 6975757441, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.1239386990649830805557180695387290790', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.50907435867268458553052618725892559588', 'prec': 133}, 'root_analytic_conductor': 0.7368736212843466, 'semistable': True, 'sha': 1, 'short_class_label': '289.2-a', 'short_label': '289.2-a1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[1,-2],[-1,-1],[1,0]]', '[[-7,0],[0,-14],[1,0]]'], 'torsion_order': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4], 'trace_hash': 1923978440435059113}