Elliptic curve data - 4.4.3600.1-36.1-b3

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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': '0.816553513113422', 'prec': 57}, 'abs_disc': 3600, 'ainvs': '-19/7,6/7,5/7,-1/7;10/7,-12/7,-3/7,2/7;-10/7,19/7,3/7,-2/7;10/7,-12/7,-3/7,2/7;3/7,-12/7,-3/7,2/7', 'analytic_rank': 0, 'bad_primes': ['(-2/7*w^3+3/7*w^2+19/7*w-3/7)', '(-2/7*w^3+3/7*w^2+19/7*w-10/7)'], 'base_change': ['2.2.5.1-2304.1-q1', '2.2.5.1-324.1-a1'], 'class_deg': 10, 'class_label': '4.4.3600.1-36.1-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2/7*w^3+3/7*w^2+19/7*w+11/7)', 'conductor_label': '36.1', 'conductor_norm': 36, 'conductor_norm_factors': [2, 3], 'degree': 4, 'disc': '(-12)', 'equation': '{y}^2+\\left(-\\frac{1}{7}a^{3}+\\frac{5}{7}a^{2}+\\frac{6}{7}a-\\frac{19}{7}\\right){x}{y}+\\left(-\\frac{2}{7}a^{3}+\\frac{3}{7}a^{2}+\\frac{19}{7}a-\\frac{10}{7}\\right){y}={x}^{3}+\\left(\\frac{2}{7}a^{3}-\\frac{3}{7}a^{2}-\\frac{12}{7}a+\\frac{10}{7}\\right){x}^{2}+\\left(\\frac{2}{7}a^{3}-\\frac{3}{7}a^{2}-\\frac{12}{7}a+\\frac{10}{7}\\right){x}+\\frac{2}{7}a^{3}-\\frac{3}{7}a^{2}-\\frac{12}{7}a+\\frac{3}{7}', 'field_label': '4.4.3600.1', 'galois_images': ['2B', '5B.4.1[2]'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 10, 2, 5], [10, 1, 5, 2], [2, 5, 1, 10], [5, 2, 10, 1]], 'jinv': '-24389/12,0,0,0', 'label': '4.4.3600.1-36.1-b3', 'local_data': [{'p': '(-2/7*w^3+3/7*w^2+19/7*w-3/7)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-2/7*w^3+3/7*w^2+19/7*w-10/7)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(12)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 20736, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '48.993210786805338468402024677560365019', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 8.391268477111563, 'semistable': True, 'sha': 1, 'short_class_label': '36.1-b', 'short_label': '36.1-b3', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-3/7,12/7,3/7,-2/7],[0,0,0,0],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1506597244171004403}