Elliptic curve data - 2.2.56.1-32.1-d4

Formats: - HTML - YAML - JSON - 2025-12-06T16:10:55.045421

• 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': '1.9606922652991360744594237759870803188', 'prec': 130}, 'abs_disc': 56, 'ainvs': '0,1;1,0;0,1;-1235,-330;21694,5798', 'analytic_rank': 1, 'bad_primes': ['(-w+4)'], 'base_change': ['32.a2', '3136.m2'], 'class_deg': 4, 'class_label': '2.2.56.1-32.1-d', 'class_size': 4, 'cm': -16, 'cm_type': -1, 'conductor_ideal': '(-4*w+16)', 'conductor_label': '32.1', 'conductor_norm': 32, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(8)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\\left(-330a-1235\\right){x}+5798a+21694', 'field_label': '2.2.56.1', 'galois_images': [], 'gens': ['[[-3/2,0],[-217/2,-115/4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.0670604245223770100258254009728323176', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], 'jinv': '287496,0', 'label': '2.2.56.1-32.1-d4', 'local_data': [{'p': '(-w+4)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 5, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 64, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '55.001486544162982619920766238484457583', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.0670604245223770100258254009728323176', 'prec': 130}, 'root_analytic_conductor': 1.5904501506137902, 'semistable': False, 'sha': 1, 'short_class_label': '32.1-d', 'short_label': '32.1-d4', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[6,2],[-72,-19],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1329733070649776498}