Elliptic curve data - 2.2.12.1-676.2-a6

Formats: - HTML - YAML - JSON - 2024-06-03T23:35:31.951298

• 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': '2.3967629518571205917034617104201748203', 'prec': 130}, 'abs_disc': 12, 'ainvs': '1,1;-1,0;0,0;-286,165;-2508,1448', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(w-4)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.2.12.1-676.2-a', 'class_size': 8, 'cm': -12, 'cm_type': -1, 'conductor_ideal': '(-6*w-28)', 'conductor_label': '676.2', 'conductor_norm': 676, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(-752*w+8884)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^{3}-{x}^{2}+\\left(165a-286\\right){x}+1448a-2508', 'field_label': '2.2.12.1', 'galois_images': ['2Cs'], 'gens': ['[[25,-14],[154,-89],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.56391646779425012084002950857153771008', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 4, 12, 2, 6, 4, 12], [3, 1, 12, 4, 6, 2, 12, 4], [4, 12, 1, 12, 2, 6, 4, 3], [12, 4, 12, 1, 6, 2, 3, 4], [2, 6, 2, 6, 1, 3, 2, 6], [6, 2, 6, 2, 3, 1, 6, 2], [4, 12, 4, 3, 2, 6, 1, 12], [12, 4, 3, 4, 6, 2, 12, 1]], 'jinv': '54000,0', 'label': '2.2.12.1-676.2-a6', 'local_data': [{'p': '(w+1)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(w-4)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(752*w-8884)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 77228944, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '9.8154376718312961840931466001036802863', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.56391646779425012084002950857153771008', 'prec': 133}, 'root_analytic_conductor': 1.5783955597580566, 'semistable': False, 'sha': 1, 'short_class_label': '676.2-a', 'short_label': '676.2-a6', 'signature': [2, 0], 'tamagawa_product': 12, 'torsion_gens': ['[[-8,4],[-2,2],[1,0]]', '[[-6,7/2],[-9/4,5/4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1606747086892655365}