Elliptic curve data - 3.3.316.1-64.7-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': '2.5659304579191107995173056971277748399', 'prec': 130}, 'abs_disc': 316, 'ainvs': '-3,0,1;-4,-1,1;-3,0,1;-33603392,-4185996,7908273;75245171793,9373311329,-17708327376', 'analytic_rank': 1, 'bad_primes': ['(-w+1)'], 'base_change': [], 'class_deg': 16, 'class_label': '3.3.316.1-64.7-d', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w^2-3*w-1)', 'conductor_label': '64.7', 'conductor_norm': 64, 'conductor_norm_factors': [2], 'degree': 3, 'disc': '(-15*w^2+46*w+93)', 'equation': '{y}^2+\\left(a^{2}-3\\right){x}{y}+\\left(a^{2}-3\\right){y}={x}^{3}+\\left(a^{2}-a-4\\right){x}^{2}+\\left(7908273a^{2}-4185996a-33603392\\right){x}-17708327376a^{2}+9373311329a+75245171793', 'field_label': '3.3.316.1', 'galois_images': ['2B'], 'gens': ['[[35556229/10658,2220709/5329,-8361965/10658],[1804012198/389017,898050317/1556068,-1698743871/1556068],[1,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.2410565093724591583349553541404299440', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 2, 16, 4, 4, 16, 8, 8], [2, 1, 8, 2, 2, 8, 4, 4], [16, 8, 1, 16, 4, 4, 2, 8], [4, 2, 16, 1, 4, 16, 8, 8], [4, 2, 4, 4, 1, 4, 2, 2], [16, 8, 4, 16, 4, 1, 2, 8], [8, 4, 2, 8, 2, 2, 1, 4], [8, 4, 8, 8, 2, 8, 4, 1]], 'jinv': '21574207961612782,2687505089603077,-10154621765056003/2', 'label': '3.3.316.1-64.7-d1', 'local_data': [{'p': '(-w+1)', 'cp': 4, 'kod': -13, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 19, 'ord_den_j': 1}], 'minD': '(15*w^2-46*w-93)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -524288, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '18.764653814042893135905280538307185957', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '3.2410565093724591583349553541404299440', 'prec': 130}, 'root_analytic_conductor': 3.176962514020246, 'semistable': False, 'sha': 1, 'short_class_label': '64.7-d', 'short_label': '64.7-d1', 'signature': [3, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[3333,416,-784],[4302,535,-1013],[1,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 260947919163282993}