Elliptic curve data - 2.0.111.1-20.3-b3

Formats: - HTML - YAML - JSON - 2026-04-12T15:40:18.662931

• 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': '4.3933002521699794022595753946915991204', 'prec': 130}, 'abs_disc': 111, 'ainvs': '1,0;0,0;0,0;2330,1021;180872,2197', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(5,w+1)'], 'base_change': [], 'class_deg': 9, 'class_label': '2.0.111.1-20.3-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(10,2*w+2)', 'conductor_label': '20.3', 'conductor_norm': 20, 'conductor_norm_factors': [2, 5], 'degree': 2, 'disc': '(-23004107264*a+106865342976)', 'equation': '{y}^2+{x}{y}={x}^3+\\left(1021a+2330\\right){x}+2197a+180872', 'field_label': '2.0.111.1', 'galois_images': ['3B.1.1'], 'gens': ['[[-24,8],[26,-15],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.21949447891908335890241016544986685664', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 3], [3, 1, 9], [3, 9, 1]], 'jinv': '60246101822861/838860800,87441895536793/3355443200', 'label': '2.0.111.1-20.3-b3', 'local_data': [{'p': '(2,w)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(2,w+1)', 'cp': 27, 'kod': 31, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 27, 'ord_den_j': 27}, {'p': '(5,w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(7,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(-189952*w+941568)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(7,w)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 23779150345135351398400, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.97628141729906413577306074652739397975', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.21949447891908335890241016544986685664', 'prec': 133}, 'root_analytic_conductor': 1.9909371105828495, 'semistable': True, 'sha': 1, 'short_class_label': '20.3-b', 'short_label': '20.3-b3', 'signature': [0, 1], 'tamagawa_product': 486, 'torsion_gens': ['[[-100/3,6],[-214/9,161/9],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 2262709311585343573}