Elliptic curve data - 2.0.3.1-36864.1-n1

Formats: - HTML - YAML - JSON - 2025-06-24T14:33:22.126461

• 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': '3.4454855413913314966330992858540809855', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;0,0;0,0;-8,4;0,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.3.1-36864.1-n', 'class_size': 2, 'cm': -4, 'cm_type': -1, 'conductor_ideal': '(192)', 'conductor_label': '36864.1', 'conductor_norm': 36864, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-24576*w+12288)', 'equation': '{y}^2={x}^{3}+\\left(4a-8\\right){x}', 'field_label': '2.0.3.1', 'galois_images': ['3Cn[2]'], 'gens': ['[[-2,-2],[8,-4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.28559259393583416634965146530881794059', 'prec': 133}], 'iso_label': 'n', 'iso_nlabel': 13, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '1728,0', 'label': '2.0.3.1-36864.1-n1', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 3, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}, {'p': '(2)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 12, 'ord_den_j': 0}], 'minD': '(-24576*w+12288)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 452984832, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.6120057650088075859352371562620122816', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.28559259393583416634965146530881794059', 'prec': 133}, 'root_analytic_conductor': 2.1446172517318214, 'semistable': False, 'sha': 1, 'short_class_label': '36864.1-n', 'short_label': '36864.1-n1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[0,0],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 638442145652403331}