Elliptic curve data - 4.4.13525.1-45.1-b2

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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': '3.23112311008180', 'prec': 54}, 'abs_disc': 13525, 'ainvs': '1/5,-7/5,0,1/5;-6/5,2/5,0,-1/5;-5,1,1,0;-467/5,254/5,4,-17/5;3798/5,-1321/5,-130,218/5', 'analytic_rank': 0, 'bad_primes': ['(3/5*w^3+w^2-16/5*w-22/5)', '(-2/5*w^3-w^2+19/5*w+43/5)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.13525.1-45.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-1/5*w^3-w^2+2/5*w+19/5)', 'conductor_label': '45.1', 'conductor_norm': 45, 'conductor_norm_factors': [3, 5], 'degree': 4, 'disc': '(-7*w^3-w^2+68*w+59)', 'equation': '{y}^2+\\left(\\frac{1}{5}a^{3}-\\frac{7}{5}a+\\frac{1}{5}\\right){x}{y}+\\left(a^{2}+a-5\\right){y}={x}^{3}+\\left(-\\frac{1}{5}a^{3}+\\frac{2}{5}a-\\frac{6}{5}\\right){x}^{2}+\\left(-\\frac{17}{5}a^{3}+4a^{2}+\\frac{254}{5}a-\\frac{467}{5}\\right){x}+\\frac{218}{5}a^{3}-130a^{2}-\\frac{1321}{5}a+\\frac{3798}{5}', 'field_label': '4.4.13525.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-14311189/25,64439341/1875,166648333/1875,4408151/1875', 'label': '4.4.13525.1-45.1-b2', 'local_data': [{'p': '(3/5*w^3+w^2-16/5*w-22/5)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(-2/5*w^3-w^2+19/5*w+43/5)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-44/5*w^3-18*w^2+313/5*w+666/5)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3515625, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '187.88501628165178085693631449637865759', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 16.72471610813606, 'semistable': True, 'sha': 1, 'short_class_label': '45.1-b', 'short_label': '45.1-b2', 'signature': [4, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[-52/5,24/5,1,-2/5],[67/5,-19/5,-2,2/5],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2269279030587141903}