Elliptic curve data - 4.4.13525.1-45.3-c1

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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': '1.89460011703054', 'prec': 54}, 'abs_disc': 13525, 'ainvs': '-5,0,1,0;-31/5,2/5,1,-1/5;0,0,0,0;-84,20,10,-3;272,-141,-34,17', 'analytic_rank': 0, 'bad_primes': ['(2/5*w^3-19/5*w+2/5)', '(-1/5*w^3-w^2+7/5*w+24/5)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.13525.1-45.3-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-1/5*w^3+2/5*w+19/5)', 'conductor_label': '45.3', 'conductor_norm': 45, 'conductor_norm_factors': [3, 5], 'degree': 4, 'disc': '(28/5*w^3+18*w^2-236/5*w-367/5)', 'equation': '{y}^2+\\left(a^{2}-5\\right){x}{y}={x}^{3}+\\left(-\\frac{1}{5}a^{3}+a^{2}+\\frac{2}{5}a-\\frac{31}{5}\\right){x}^{2}+\\left(-3a^{3}+10a^{2}+20a-84\\right){x}+17a^{3}-34a^{2}-141a+272', 'field_label': '4.4.13525.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '609102243265262794/18225,-256377004961593423/18225,-14681250308973859/3645,30144017568959519/18225', 'label': '4.4.13525.1-45.3-c1', 'local_data': [{'p': '(2/5*w^3-19/5*w+2/5)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-1/5*w^3-w^2+7/5*w+24/5)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(49/5*w^3+10*w^2-253/5*w-201/5)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2657205, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '146.89091551471474607738801538510034067', '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': '45.3-c', 'short_label': '45.3-c1', 'signature': [4, 0], 'tamagawa_product': 6, 'torsion_gens': ['[[56/5,8/5,-3/2,-1/20],[221/40,-117/40,-1/4,3/20],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1407612953979342676}