Elliptic curve data - 2.0.8.1-20449.2-a1

Formats: - HTML - YAML - JSON - 2024-05-27T01:22:58.822025

• 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': '3.7174877372864956659243107660395741345', 'prec': 130}, 'abs_disc': 8, 'ainvs': '0,0;-1,0;1,0;-1,0;-2,0', 'analytic_rank': 2, 'bad_primes': ['(w+3)', '(w-3)', '(13)'], 'base_change': ['143.a1', '9152.n1'], 'class_deg': 1, 'class_label': '2.0.8.1-20449.2-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(143)', 'conductor_label': '20449.2', 'conductor_norm': 20449, 'conductor_norm_factors': [11, 13], 'degree': 2, 'disc': '(-1859)', 'equation': '{y}^2+{y}={x}^{3}-{x}^{2}-{x}-2', 'field_label': '2.0.8.1', 'galois_images': [], 'gens': ['[[0,1],[-2,1],[1,0]]', '[[-532/1089,754/1089],[-49487/35937,3770/35937],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.92949741491399024484980547196074998892', 'prec': 133}, {'__RealLiteral__': 0, 'data': '2.9978881641701983698498124626892544793', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-262144/1859,0', 'label': '2.0.8.1-20449.2-a1', 'local_data': [{'p': '(w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(w-3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(13)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 169, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(1859)', 'n_bad_primes': 3, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 3455881, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.9709165952963809872323792512730418430', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.16549458575425694408557841664702521646', 'prec': 133}, 'root_analytic_conductor': 3.022397391349205, 'semistable': True, 'sha': 1, 'short_class_label': '20449.2-a', 'short_label': '20449.2-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 654463962478666583}