Elliptic curve data - 5.5.14641.1-197.5-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': '1.96511851', 'prec': 34}, 'abs_disc': 14641, 'ainvs': '3,-2,-4,1,1;-1,2,4,-1,-1;1,0,0,0,0;-3,5,6,-2,-1;-2,4,8,-1,-2', 'analytic_rank': 1, 'bad_primes': ['(w^3+w^2-2*w-4)'], 'base_change': [], 'class_deg': 1, 'class_label': '5.5.14641.1-197.5-b', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3+w^2-2*w-4)', 'conductor_label': '197.5', 'conductor_norm': 197, 'conductor_norm_factors': [197], 'degree': 5, 'disc': '(-w^3-w^2+2*w+4)', 'equation': '{y}^2+\\left(a^{4}+a^{3}-4a^{2}-2a+3\\right){x}{y}+{y}={x}^{3}+\\left(-a^{4}-a^{3}+4a^{2}+2a-1\\right){x}^{2}+\\left(-a^{4}-2a^{3}+6a^{2}+5a-3\\right){x}-2a^{4}-a^{3}+8a^{2}+4a-2', 'field_label': '5.5.14641.1', 'galois_images': [], 'gens': ['[[-2,5,7,-1,-2],[-7,14,32,-2,-9],[1,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.0023159026446406168429623965156684912785', 'prec': 140}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-57712701/197,197064106/197,304701804/197,-137463815/197,-140773808/197', 'label': '5.5.14641.1-197.5-b1', 'local_data': [{'p': '(w^3+w^2-2*w-4)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 197, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(w^3+w^2-2*w-4)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': -197, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '20534.484963399258356903057287201379916', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.0023159026446406168429623965156684912785', 'prec': 140}, 'root_analytic_conductor': 18.3387844711597, 'semistable': True, 'sha': 1, 'short_class_label': '197.5-b', 'short_label': '197.5-b1', 'signature': [5, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 526485173412958944}