Elliptic curve data - 2.0.3.1-75625.1-a1

Formats: - HTML - YAML - JSON - 2025-04-22T00:55:47.165168

• 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': '4.2072724811388759079841492553189858144', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,1;0,0;1,0;-21,20;22,0', 'analytic_rank': 2, 'bad_primes': ['(5)', '(11)'], 'base_change': ['275.a4', '2475.i4'], 'class_deg': 4, 'class_label': '2.0.3.1-75625.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(275)', 'conductor_label': '75625.1', 'conductor_norm': 75625, 'conductor_norm_factors': [5, 11], 'degree': 2, 'disc': '(-859375)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+\\left(20a-21\\right){x}+22', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[-1,1],[-5,2],[1,0]]', '[[1,0],[-4,-3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.6748701325347444194835328781638245777', 'prec': 130}, {'__RealLiteral__': 0, 'data': '1.6748701325347444194835328781638245777', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '59319/55,0', 'label': '2.0.3.1-75625.1-a1', 'local_data': [{'p': '(5)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 25, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(11)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 121, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(859375)', 'n_bad_primes': 2, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 738525390625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.4164976887652323834412748914627671298', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.5722631799601447389094934068516650161', 'prec': 130}, 'root_analytic_conductor': 2.5666433657124306, 'semistable': False, 'sha': 1, 'short_class_label': '75625.1-a', 'short_label': '75625.1-a1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[0,-4],[-15,4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 374322226900100012}