Elliptic curve data - 4.4.13888.1-16.1-b3

Formats: - HTML - YAML - JSON - 2024-05-05T02:25:16.572966

• 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': '0.730548558838432', 'prec': 57}, 'abs_disc': 13888, 'ainvs': '-3,-1,1,0;4,4/3,-1/3,-1/3;1,-4/3,-2/3,1/3;218,106/3,-547/3,137/3;2784,432,-2384,603', 'analytic_rank': 0, 'bad_primes': ['(1/3*w^3-2/3*w^2-4/3*w+1)'], 'base_change': [], 'class_deg': 6, 'class_label': '4.4.13888.1-16.1-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(16)', 'equation': '{y}^2+\\left(a^{2}-a-3\\right){x}{y}+\\left(\\frac{1}{3}a^{3}-\\frac{2}{3}a^{2}-\\frac{4}{3}a+1\\right){y}={x}^{3}+\\left(-\\frac{1}{3}a^{3}-\\frac{1}{3}a^{2}+\\frac{4}{3}a+4\\right){x}^{2}+\\left(\\frac{137}{3}a^{3}-\\frac{547}{3}a^{2}+\\frac{106}{3}a+218\\right){x}+603a^{3}-2384a^{2}+432a+2784', 'field_label': '4.4.13888.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 6, 3, 2], [6, 1, 2, 3], [3, 2, 1, 6], [2, 3, 6, 1]], 'jinv': '-513973239204,-237824803420/3,1321138962400/3,-334338932660/3', 'label': '4.4.13888.1-16.1-b3', 'local_data': [{'p': '(1/3*w^3-2/3*w^2-4/3*w+1)', 'cp': 1, 'kod': -4, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}], 'minD': '(16)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -65536, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '86.093218208223549861582124852107684994', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 14.892698770011714, 'semistable': False, 'sha': 4, 'short_class_label': '16.1-b', 'short_label': '16.1-b3', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[2,0,-7/2,1],[-35/4,-4/3,35/6,-17/12],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1521756200714784177}