Elliptic curve data - 2.0.8.1-5202.1-a1

Formats: - HTML - YAML - JSON - 2023-10-01T18:41:37.064764

• 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': '2.4671090398398060941108156550126177345', 'prec': 130}, 'abs_disc': 8, 'ainvs': '1,0;1,-1;0,1;-5,-4;-1,3', 'analytic_rank': 2, 'bad_primes': ['(w)', '(-w-1)', '(-2*w+3)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.8.1-5202.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-47*w+28)', 'conductor_label': '5202.1', 'conductor_norm': 5202, 'conductor_norm_factors': [2, 3, 17], 'degree': 2, 'disc': '(4024*w-2840)', 'equation': '{y}^2+{x}{y}+a{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(-4a-5\\right){x}+3a-1', 'field_label': '2.0.8.1', 'galois_images': ['3B'], 'gens': ['[[1,1],[-1,0],[1,0]]', '[[2,-1],[-3,4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.19626363813447472226285375589468428013', 'prec': 133}, {'__RealLiteral__': 0, 'data': '0.22037187694313880273196613786332441576', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '96797/24,-3575/24', 'label': '2.0.8.1-5202.1-a1', 'local_data': [{'p': '(w)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-w-1)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(-2*w+3)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 17, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 2, 'ord_den_j': 0}], 'minD': '(-4024*w+2840)', 'n_bad_primes': 3, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 40450752, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.0638648344413296107716112031603224620', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.035586375914561518148992433989797429992', 'prec': 137}, 'root_analytic_conductor': 2.146476479530372, 'semistable': False, 'sha': 1, 'short_class_label': '5202.1-a', 'short_label': '5202.1-a1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1406881060324190292}