Elliptic curve data - 2.2.56.1-56.1-d4

Formats: - HTML - YAML - JSON - 2025-01-14T13:48:31.233386

• 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': '2.8503177441011686065450864444986300260', 'prec': 130}, 'abs_disc': 56, 'ainvs': '0,1;1,0;0,1;-5,0;-11,0', 'analytic_rank': 2, 'bad_primes': ['(-w+4)', '(-2*w+7)'], 'base_change': ['392.d3', '448.e3'], 'class_deg': 8, 'class_label': '2.2.56.1-56.1-d', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w)', 'conductor_label': '56.1', 'conductor_norm': 56, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(784)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-5{x}-11', 'field_label': '2.2.56.1', 'galois_images': ['2Cs'], 'gens': ['[[-475/169,-7/169],[-126/2197,2045/2197],[1,0]]', '[[-475/169,7/169],[-1400/2197,1933/2197],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4805337898492731744697795968857835225', 'prec': 130}, {'__RealLiteral__': 0, 'data': '1.4805337898492731744697795968857835225', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 8, 4, 2, 4], [8, 1, 4, 2, 4, 8], [8, 4, 1, 2, 4, 8], [4, 2, 2, 1, 2, 4], [2, 4, 4, 2, 1, 2], [4, 8, 8, 4, 2, 1]], 'jinv': '740772/49,0', 'label': '2.2.56.1-56.1-d4', 'local_data': [{'p': '(-w+4)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(-2*w+7)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(784)', 'n_bad_primes': 2, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 614656, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '10.545174114907622496997986618182212107', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.0227095969505290132550084317128574114', 'prec': 130}, 'root_analytic_conductor': 1.8292774205870683, 'semistable': False, 'sha': 1, 'short_class_label': '56.1-d', 'short_label': '56.1-d4', 'signature': [2, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-5/2,0],[0,3/4],[1,0]]', '[[1,-1],[14,-3],[1,0]]'], 'torsion_order': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4], 'trace_hash': 995515498912736166}