Elliptic curve data - 2.0.3.1-49152.1-o2

Formats: - HTML - YAML - JSON - 2025-06-14T04:27:29.196350

• 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': '4.2050862281763808884749906025194677815', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;1,0;0,0;-13,0;11,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(2)'], 'base_change': ['1152.i1', '384.f1'], 'class_deg': 2, 'class_label': '2.0.3.1-49152.1-o', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-256*w+128)', 'conductor_label': '49152.1', 'conductor_norm': 49152, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(49152)', 'equation': '{y}^2={x}^{3}+{x}^{2}-13{x}+11', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[2,0],[-1,2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.84837199365724798058734699492601845650', 'prec': 133}], 'iso_label': 'o', 'iso_nlabel': 14, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '16000/3,0', 'label': '2.0.3.1-49152.1-o2', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 4, 'rootno': -1, 'ord_cond': 7, 'ord_disc': 14, 'ord_den_j': 0}], 'minD': '(49152)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2415919104, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.1462940348877933338525230870475366722', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.84837199365724798058734699492601845650', 'prec': 133}, 'root_analytic_conductor': 2.3045412139810555, 'semistable': False, 'sha': 1, 'short_class_label': '49152.1-o', 'short_label': '49152.1-o2', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[1,0],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 393771108625096442}