Elliptic curve data - 5.5.147109.1-16.2-d1

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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': '2.73451915', 'prec': 34}, 'abs_disc': 147109, 'ainvs': '2,0,-4,-1,1;-4,3,3,-1,0;2,0,-4,-1,1;0,-1,4,1,-1;-3,3,7,-4,0', 'analytic_rank': 1, 'bad_primes': ['(-w)'], 'base_change': [], 'class_deg': 4, 'class_label': '5.5.147109.1-16.2-d', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^4+w^3+5*w^2-w-2)', 'conductor_label': '16.2', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 5, 'disc': '(-w^4+4*w^3+w^2-12*w+4)', 'equation': '{y}^2+\\left(a^{4}-a^{3}-4a^{2}+2\\right){x}{y}+\\left(a^{4}-a^{3}-4a^{2}+2\\right){y}={x}^{3}+\\left(-a^{3}+3a^{2}+3a-4\\right){x}^{2}+\\left(-a^{4}+a^{3}+4a^{2}-a\\right){x}-4a^{3}+7a^{2}+3a-3', 'field_label': '5.5.147109.1', 'galois_images': ['2B'], 'gens': ['[[2,-2,-2,1,0],[-1,0,0,0,0],[1,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.034764318990822237321295374482257920524', 'prec': 137}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '-7508,34148,-12876,-15497,6138', 'label': '5.5.147109.1-16.2-d1', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': -6, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 10, 'ord_den_j': 0}], 'minD': '(-w^4-w^3+6*w^2+5*w-2)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -1024, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '12067.765338263123902711923491724750703', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.034764318990822237321295374482257920524', 'prec': 137}, 'root_analytic_conductor': 45.224125059614, 'semistable': False, 'sha': 1, 'short_class_label': '16.2-d', 'short_label': '16.2-d1', 'signature': [5, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[1,0,-2,0,0],[0,-1,-2,0,1],[1,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1169017551512172674}