Elliptic curve data - 4.4.9248.1-16.3-a2

Formats: - HTML - YAML - JSON - 2024-06-14T06:31:48.804492

• 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': '1.11389960893353', 'prec': 54}, 'abs_disc': 9248, 'ainvs': '-2,1,1,0;-3,-5,1,1;1,-4,0,1;365,544,-79,-119;-52851,-79812,11587,17497', 'analytic_rank': 0, 'bad_primes': ['(-w^3+4*w+1)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.9248.1-16.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2-3)', 'conductor_label': '16.3', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-37*w^2+51)', 'equation': '{y}^2+\\left(a^{2}+a-2\\right){x}{y}+\\left(a^{3}-4a+1\\right){y}={x}^{3}+\\left(a^{3}+a^{2}-5a-3\\right){x}^{2}+\\left(-119a^{3}-79a^{2}+544a+365\\right){x}+17497a^{3}+11587a^{2}-79812a-52851', 'field_label': '4.4.9248.1', 'galois_images': ['2B', '3Ns'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '35185/32,0,-159367/64,0', 'label': '4.4.9248.1-16.3-a2', 'local_data': [{'p': '(-w^3+4*w+1)', 'cp': 4, 'kod': -20, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 24, 'ord_den_j': 12}], 'minD': '(37*w^2-51)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 16777216, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '107.11985151715989269079850648422724823', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 12.15283109314699, 'semistable': False, 'sha': 1, 'short_class_label': '16.3-a', 'short_label': '16.3-a2', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[47/2,36,-11/2,-8],[19/2,73/4,-3/2,-15/4],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 464238700158173681}