Elliptic curve data - 2.0.840.1-32.1-e4

Formats: - HTML - YAML - JSON - 2026-04-22T04:44:22.450069

• 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': '15.294630137558454753995654592581041517', 'prec': 130}, 'abs_disc': 840, 'ainvs': '0,1;0,0;0,0;3226,11;-41328,-3122', 'analytic_rank': 2, 'bad_primes': ['(2,w)'], 'base_change': ['14400.cx1', '1568.e2'], 'class_deg': 4, 'class_label': '2.0.840.1-32.1-e', 'class_size': 4, 'cm': -16, 'cm_type': -1, 'conductor_ideal': '(8,4*w)', 'conductor_label': '32.1', 'conductor_norm': 32, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-67468896*a-4657060792)', 'equation': '{y}^2+a{x}{y}={x}^3+\\left(11a+3226\\right){x}-3122a-41328', 'field_label': '2.0.840.1', 'galois_images': ['2Cs'], 'gens': ['[[133/8,7/4],[3157/16,-293/32],[1,0]]', '[[81/4,-11/2],[-1785/8,17],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4944407538016703049134574705638987676', 'prec': 130}, {'__RealLiteral__': 0, 'data': '2.6964694026626170544163641927814947238', 'prec': 130}], 'iso_label': 'e', 'iso_nlabel': 4, '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': '2.0.840.1-32.1-e4', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 5, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(29,w+14)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 29, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 2, 'non_min_p': ['(29,w+14)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 22644146125150018624, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '13.750371636040745654980191559621114396', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '4.0297137667182610839749820232413065756', 'prec': 130}, 'root_analytic_conductor': 6.1597869463002874, 'semistable': False, 'sha': 4, 'short_class_label': '32.1-e', 'short_label': '32.1-e4', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[33/2,2],[210,-33/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2236153369639408653}