Elliptic curve data - 2.0.31.1-20.3-b4

Formats: - HTML - YAML - JSON - 2024-06-05T19:11:59.994912

• 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': '1.2266878813962401211260486660043323960', 'prec': 130}, 'abs_disc': 31, 'ainvs': '0,1;0,0;0,1;-171,68;-346,452', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)', '(5,w+1)'], 'base_change': [], 'class_deg': 6, 'class_label': '2.0.31.1-20.3-b', 'class_size': 4, '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': '(-31227904*a+47742976)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+\\left(68a-171\\right){x}+452a-346', 'field_label': '2.0.31.1', 'galois_images': ['2B', '3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 6, 3, 2], [6, 1, 2, 3], [3, 2, 1, 6], [2, 3, 6, 1]], 'jinv': '87855796164087/32768000000,-1520638086962303/262144000000', 'label': '2.0.31.1-20.3-b4', 'local_data': [{'p': '(2,w)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(2,w+1)', 'cp': 2, 'kod': 28, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 24, 'ord_den_j': 24}, {'p': '(5,w+1)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(252104*w-1392776)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(2,w)'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 8589934592000000, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '1.1383181783922410633928910559875284992', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 1.052148158336872, 'semistable': True, 'sha': 1, 'short_class_label': '20.3-b', 'short_label': '20.3-b4', 'signature': [0, 1], 'tamagawa_product': 12, 'torsion_gens': ['[[18,-3],[-12,-8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 697623950296785159}