Elliptic curve data - 4.4.2777.1-16.1-a3

Formats: - HTML - YAML - JSON - 2024-06-03T02:12:50.010590

• 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': '0.694449760441155', 'prec': 57}, 'abs_disc': 2777, 'ainvs': '-1,-3,0,1;-1,-1,0,0;2,-2,-1,1;4,2,-17,-11;-48,-40,79,56', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(w^3-w^2-4*w+1)'], 'base_change': [], 'class_deg': 12, 'class_label': '4.4.2777.1-16.1-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-4*w^3+8*w^2+12*w-8)', 'equation': '{y}^2+\\left(a^{3}-3a-1\\right){x}{y}+\\left(a^{3}-a^{2}-2a+2\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-11a^{3}-17a^{2}+2a+4\\right){x}+56a^{3}+79a^{2}-40a-48', 'field_label': '4.4.2777.1', 'galois_images': ['2Cs', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 6, 4, 12, 12, 2, 4], [3, 1, 2, 12, 4, 4, 6, 12], [6, 2, 1, 6, 2, 2, 3, 6], [4, 12, 6, 1, 12, 3, 2, 4], [12, 4, 2, 12, 1, 4, 6, 3], [12, 4, 2, 3, 4, 1, 6, 12], [2, 6, 3, 2, 6, 6, 1, 2], [4, 12, 6, 4, 3, 12, 2, 1]], 'jinv': '-786579399/64,-333707999/32,1284429089/64,820372365/64', 'label': '4.4.2777.1-16.1-a3', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(w^3-w^2-4*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 8, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(-4*w^3+8*w^2+12*w-8)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 4096, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '1317.4412976079292006886629992037367998', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 6.6594979752695425, 'semistable': True, 'sha': 1, 'short_class_label': '16.1-a', 'short_label': '16.1-a3', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-1/2,1/4,3/4,1/4],[1/4,17/8,-1,-13/8],[1,0,0,0]]', '[[4,-5,-2,2],[10,-5,-6,1],[1,0,0,0]]'], 'torsion_order': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6], 'trace_hash': 929010823443710380}