Elliptic curve data - 2.0.8.1-41616.5-e8

Formats: - HTML - YAML - JSON - 2024-12-07T09:05:14.752705

• 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': '3.7011679039764952941272628899277629300', 'prec': 130}, 'abs_disc': 8, 'ainvs': '0,1;1,0;0,0;-1022,0;12402,0', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w-1)', '(w-1)', '(-2*w+3)', '(2*w+3)'], 'base_change': ['816.d2', '3264.i2'], 'class_deg': 12, 'class_label': '2.0.8.1-41616.5-e', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(204)', 'conductor_label': '41616.5', 'conductor_norm': 41616, 'conductor_norm_factors': [2, 3, 17], 'degree': 2, 'disc': '(50761728)', 'equation': '{y}^2+a{x}{y}={x}^{3}+{x}^{2}-1022{x}+12402', 'field_label': '2.0.8.1', 'galois_images': ['2B', '3B'], 'gens': ['[[71/4,0],[-27/8,-71/8],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.5732884790136591482033422706574656094', 'prec': 130}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 4, 3, 12, 6, 2, 4, 12], [4, 1, 12, 3, 6, 2, 4, 12], [3, 12, 1, 4, 2, 6, 12, 4], [12, 3, 4, 1, 2, 6, 12, 4], [6, 6, 2, 2, 1, 3, 6, 2], [2, 2, 6, 6, 3, 1, 2, 6], [4, 4, 12, 12, 6, 2, 1, 3], [12, 12, 4, 4, 2, 6, 3, 1]], 'jinv': '1845026709625/793152,0', 'label': '2.0.8.1-41616.5-e8', 'local_data': [{'p': '(w)', 'cp': 4, 'kod': -20, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 24, 'ord_den_j': 12}, {'p': '(-w-1)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(w-1)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(50761728)', 'n_bad_primes': 5, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 2576753029545984, 'number': 8, 'omega': {'__RealLiteral__': 0, 'data': '0.41586793492133917640323298011485746283', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '1.5732884790136591482033422706574656094', 'prec': 130}, 'root_analytic_conductor': 3.6099287541270066, 'semistable': False, 'sha': 1, 'short_class_label': '41616.5-e', 'short_label': '41616.5-e8', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[18,0],[0,-9],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1177362993633908278}