Elliptic curve data - 2.2.21.1-21.1-a2

Formats: - HTML - YAML - JSON - 2023-12-08T18:50:48.977953

• 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': '0.79690597280425622842037612731564209757', 'prec': 133}, 'abs_disc': 21, 'ainvs': '0,1;1,0;0,1;13,-5;13,-5', 'analytic_rank': 0, 'bad_primes': ['(-w+2)', '(w+3)'], 'base_change': ['147.a6', '63.a6'], 'class_deg': 8, 'class_label': '2.2.21.1-21.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w+1)', 'conductor_label': '21.1', 'conductor_norm': 21, 'conductor_norm_factors': [3, 7], 'degree': 2, 'disc': '(-63)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\\left(-5a+13\\right){x}-5a+13', 'field_label': '2.2.21.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '103823/63,0', 'label': '2.2.21.1-21.1-a2', 'local_data': [{'p': '(-w+2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(63)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3969, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '14.607527768551696889610408346184048628', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 0.8766031452281368, 'semistable': True, 'sha': 1, 'short_class_label': '21.1-a', 'short_label': '21.1-a2', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[2,-1],[-6,2],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1923922498074039050}