Elliptic curve data - 4.4.12197.1-37.2-a2

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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': '2.40524638681567', 'prec': 54}, 'abs_disc': 12197, 'ainvs': '-3,1,1,0;0,6,0,-1;3,-5,-1,1;-8,-6,5,1;-34,-25,6,5', 'analytic_rank': 1, 'bad_primes': ['(w^3-4*w-2)'], 'base_change': [], 'class_deg': 9, 'class_label': '4.4.12197.1-37.2-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3-4*w-2)', 'conductor_label': '37.2', 'conductor_norm': 37, 'conductor_norm_factors': [37], 'degree': 4, 'disc': '(-1342*w^3+301*w^2+7815*w-2502)', 'equation': '{y}^2+\\left(a^{2}+a-3\\right){x}{y}+\\left(a^{3}-a^{2}-5a+3\\right){y}={x}^{3}+\\left(-a^{3}+6a\\right){x}^{2}+\\left(a^{3}+5a^{2}-6a-8\\right){x}+5a^{3}+6a^{2}-25a-34', 'field_label': '4.4.12197.1', 'galois_images': ['3Cs.1.1'], 'gens': ['[[1713,-1952,-514,415],[82207,-93410,-24681,19876],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.62290476149162688104092444824683310210', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'jinv': '134727608330513111571/129961739795077,932928939055723203988/129961739795077,50401070034046346530/129961739795077,-182667213631522428976/129961739795077', 'label': '4.4.12197.1-37.2-a2', 'local_data': [{'p': '(w^3-4*w-2)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 37, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}], 'minD': '(1342*w^3-301*w^2-7815*w+2502)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -129961739795077, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '11.845732779074630385684495231195919938', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.62290476149162688104092444824683310210', 'prec': 133}, 'root_analytic_conductor': 15.498521886106621, 'semistable': True, 'sha': 9, 'short_class_label': '37.2-a', 'short_label': '37.2-a2', 'signature': [4, 0], 'tamagawa_product': 9, 'torsion_gens': ['[[6,0,-1,0],[-6,-5,0,1],[1,0,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1099713450182511745}