Elliptic curve data - 2.0.4.1-5525.8-b2

Formats: - HTML - YAML - JSON - 2024-05-22T08:53:25.472016

• 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': '1.6535053394607472108051944388094237685', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,1;1,0;0,1;-591,8295;183071,229305', 'analytic_rank': 1, 'bad_primes': ['(-w-2)', '(2*w+1)', '(2*w+3)', '(w-4)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.4.1-5525.8-b', 'class_size': 10, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-25*w-70)', 'conductor_label': '5525.8', 'conductor_norm': 5525, 'conductor_norm_factors': [5, 13, 17], 'degree': 2, 'disc': '(-216132210*w+568965905)', 'equation': '{y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\\left(8295i-591\\right){x}+229305i+183071', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': ['[[-967/25,894/25],[1992/125,2206/125],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.1255718252065910564054539101736320261', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 16, 2, 16, 16, 4, 16, 8, 4, 8], [16, 1, 8, 16, 16, 16, 4, 8, 4, 2], [2, 8, 1, 8, 8, 2, 8, 4, 2, 4], [16, 16, 8, 1, 4, 16, 16, 2, 4, 8], [16, 16, 8, 4, 1, 16, 16, 2, 4, 8], [4, 16, 2, 16, 16, 1, 16, 8, 4, 8], [16, 4, 8, 16, 16, 16, 1, 8, 4, 2], [8, 8, 4, 2, 2, 8, 8, 1, 2, 4], [4, 4, 2, 4, 4, 4, 4, 2, 1, 2], [8, 2, 4, 8, 8, 8, 2, 4, 2, 1]], 'jinv': '-4221279326334621864710259/74087066650390625,6490200321008653523650362/74087066650390625', 'label': '2.0.4.1-5525.8-b2', 'local_data': [{'p': '(-w-2)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(2*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+3)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w-4)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-216132210*w+568965905)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 370435333251953125, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.18362947863825322153172218901491456919', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.1255718252065910564054539101736320261', 'prec': 130}, 'root_analytic_conductor': 1.540818980899038, 'semistable': True, 'sha': 1, 'short_class_label': '5525.8-b', 'short_label': '5525.8-b2', 'signature': [0, 1], 'tamagawa_product': 64, 'torsion_gens': ['[[-81/2,42],[-239/4,115/4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1314104388246362824}