Elliptic curve data - 4.4.5744.1-17.1-a1

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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': '2.43344293527587', 'prec': 54}, 'abs_disc': 5744, 'ainvs': '0,4,1,-1;1,8,1,-2;0,5,1,-1;0,9,1,-3;-13,45,7,-11', 'analytic_rank': 0, 'bad_primes': ['(w^2-2)'], 'base_change': [], 'class_deg': 1, 'class_label': '4.4.5744.1-17.1-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2-2)', 'conductor_label': '17.1', 'conductor_norm': 17, 'conductor_norm_factors': [17], 'degree': 4, 'disc': '(-w^3+3*w^2+8*w-8)', 'equation': '{y}^2+\\left(-a^{3}+a^{2}+4a\\right){x}{y}+\\left(-a^{3}+a^{2}+5a\\right){y}={x}^{3}+\\left(-2a^{3}+a^{2}+8a+1\\right){x}^{2}+\\left(-3a^{3}+a^{2}+9a\\right){x}-11a^{3}+7a^{2}+45a-13', 'field_label': '4.4.5744.1', 'galois_images': ['3Ns'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '16652449695/4913,-24295621869/4913,-68843781023/4913,-9280666137/4913', 'label': '4.4.5744.1-17.1-a1', 'local_data': [{'p': '(w^2-2)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-w^3+3*w^2+8*w-8)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -4913, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '184.42864777072410282872064252121278914', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 9.650545980689342, 'semistable': True, 'sha': 1, 'short_class_label': '17.1-a', 'short_label': '17.1-a1', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1806707501766850670}