Elliptic curve data - 4.4.2304.1-16.1-a11

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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': '1.03696788350078', 'prec': 54}, 'abs_disc': 2304, 'ainvs': '0,-3,0,1;1,5,0,-1;-1,0,1,0;-16,33,5,-9;-31,60,8,-16', 'analytic_rank': 0, 'bad_primes': ['(w^3-4*w+1)'], 'base_change': [], 'class_deg': 24, 'class_label': '4.4.2304.1-16.1-a', 'class_size': 12, 'cm': -96, 'cm_type': -1, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(8)', 'equation': '{y}^2+\\left(a^{3}-3a\\right){x}{y}+\\left(a^{2}-1\\right){y}={x}^{3}+\\left(-a^{3}+5a+1\\right){x}^{2}+\\left(-9a^{3}+5a^{2}+33a-16\\right){x}-16a^{3}+8a^{2}+60a-31', 'field_label': '4.4.2304.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 3, 6, 2, 4, 12, 12, 4, 2, 6, 6, 2], [3, 1, 2, 6, 12, 4, 4, 12, 6, 2, 2, 6], [6, 2, 1, 3, 6, 2, 2, 6, 12, 4, 4, 12], [2, 6, 3, 1, 2, 6, 6, 2, 4, 12, 12, 4], [4, 12, 6, 2, 1, 12, 3, 4, 8, 24, 24, 8], [12, 4, 2, 6, 12, 1, 4, 3, 24, 8, 8, 24], [12, 4, 2, 6, 3, 4, 1, 12, 24, 8, 8, 24], [4, 12, 6, 2, 4, 3, 12, 1, 8, 24, 24, 8], [2, 6, 12, 4, 8, 24, 24, 8, 1, 12, 3, 4], [6, 2, 4, 12, 24, 8, 8, 24, 12, 1, 4, 3], [6, 2, 4, 12, 24, 8, 8, 24, 3, 4, 1, 12], [2, 6, 12, 4, 8, 24, 24, 8, 4, 3, 12, 1]], 'jinv': '12572755370856,-24288698179512,-3368859648336,6508137062232', 'label': '4.4.2304.1-16.1-a11', 'local_data': [{'p': '(w^3-4*w+1)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 4096, 'number': 11, 'omega': {'__RealLiteral__': 0, 'data': '199.09783363215017488982315667326052605', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 6.065893606996912, 'semistable': False, 'sha': 1, 'short_class_label': '16.1-a', 'short_label': '16.1-a11', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-3/2,3,0,-1],[3/2,-9/4,-1/2,3/4],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 448957601052078942}