Elliptic curve data - 2.2.136.1-18.1-f8

Formats: - HTML - YAML - JSON - 2024-06-06T10:25:29.012401

• 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': '2.9905227354324995095935599827415531646', 'prec': 130}, 'abs_disc': 136, 'ainvs': '1,1;-1,-1;1,1;-66186,-11307;-9348007,-1602674', 'analytic_rank': 0, 'bad_primes': ['(-w-6)', '(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 20, 'class_label': '2.2.136.1-18.1-f', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-3*w-18)', 'conductor_label': '18.1', 'conductor_norm': 18, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-252324*w+1077264)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-11307a-66186\\right){x}-1602674a-9348007', 'field_label': '2.2.136.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 2, 4, 5, 10, 20], 'isogeny_matrix': [[1, 5, 20, 4, 10, 2, 20, 4], [5, 1, 4, 20, 2, 10, 4, 20], [20, 4, 1, 20, 2, 10, 4, 5], [4, 20, 20, 1, 10, 2, 5, 4], [10, 2, 2, 10, 1, 5, 2, 10], [2, 10, 10, 2, 5, 1, 10, 2], [20, 4, 4, 5, 2, 10, 1, 20], [4, 20, 5, 4, 10, 2, 20, 1]], 'jinv': '148548367096218745832/6561,203806678257976965611/52488', 'label': '2.2.136.1-18.1-f8', 'local_data': [{'p': '(-w-6)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(3,w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(3,w+2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(-684*w+3744)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(3,w+1)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': -1004193907488, 'number': 8, 'omega': {'__RealLiteral__': 0, 'data': '0.43593985526870210502598978237118700950', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 2.146476479530372, 'semistable': True, 'sha': 4, 'short_class_label': '18.1-f', 'short_label': '18.1-f8', 'signature': [2, 0], 'tamagawa_product': 80, 'torsion_gens': ['[[-391/4,-39/2],[3039/8,465/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 279801677403511206}