Elliptic curve data - 2.0.31.1-729.1-a1

Formats: - HTML - YAML - JSON - 2026-06-06T13:27:02.813365

• 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': '2.7262518273667387524260380305401336812', 'prec': 130}, 'abs_disc': 31, 'ainvs': '0,0;0,0;0,1;0,0;56,-7', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.31.1-729.1-a', 'class_size': 2, 'cm': -3, 'cm_type': -1, 'conductor_ideal': '(27)', 'conductor_label': '729.1', 'conductor_norm': 729, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(295245*a-1102248)', 'equation': '{y}^2+a{y}={x}^3-7a+56', 'field_label': '2.0.31.1', 'galois_images': ['3B.1.2'], 'gens': ['[[4,1],[8,2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4039792497135176178640727831446841036', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '0,0', 'label': '2.0.31.1-729.1-a1', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': -4, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 3, 'ord_disc': 9, 'ord_den_j': 0}], 'minD': '(19683)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(2,w)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 1586874322944, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.7028760880208982136154343401292034121', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '1.4039792497135176178640727831446841036', 'prec': 130}, 'root_analytic_conductor': 2.5852424739627753, 'semistable': False, 'sha': 1, 'short_class_label': '729.1-a', 'short_label': '729.1-a1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1807161966232320824}