Elliptic curve data - 4.4.11348.1-8.2-b1

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• 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': '2.96995632212522', 'prec': 54}, 'abs_disc': 11348, 'ainvs': '-3,-4,0,1;-4,0,1,0;1,1,0,0;-5,6,30,-11;7,2,-17,7', 'analytic_rank': 1, 'bad_primes': ['(-w-1)'], 'base_change': [], 'class_deg': 8, 'class_label': '4.4.11348.1-8.2-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3-w^2-5*w+1)', 'conductor_label': '8.2', 'conductor_norm': 8, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(w^3-w^2-5*w+3)', 'equation': '{y}^2+\\left(a^{3}-4a-3\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a^{2}-4\\right){x}^{2}+\\left(-11a^{3}+30a^{2}+6a-5\\right){x}+7a^{3}-17a^{2}+2a+7', 'field_label': '4.4.11348.1', 'galois_images': ['2B'], 'gens': ['[[1/4,-5/4,3/4,-1/4],[17/8,-9/8,-45/8,19/8],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.17275020223962145653437438584213870949', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 8, 4, 2], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [8, 4, 2, 1, 8, 4], [4, 8, 4, 8, 1, 2], [2, 4, 2, 4, 2, 1]], 'jinv': '3628683,-4344039,-1698543,1068917', 'label': '4.4.11348.1-8.2-b1', 'local_data': [{'p': '(-w-1)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(-w^3+w^2+5*w+1)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -16, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '915.71676595218980059736619423303998693', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.17275020223962145653437438584213870949', 'prec': 133}, 'root_analytic_conductor': 12.344811574349352, 'semistable': False, 'sha': 1, 'short_class_label': '8.2-b', 'short_label': '8.2-b1', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[1/2,-7/4,-1/2,1/4],[-3/2,-13/4,1/4,3/4],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2178365910721640044}