Elliptic curve data - 4.4.2624.1-1.1-a4

Formats: - HTML - YAML - JSON - 2024-06-04T10:08:33.826059

• 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': '0.471725361464293', 'prec': 57}, 'abs_disc': 2624, 'ainvs': '1,-2,-2,1;1,1,0,0;0,1,0,0;1,1,0,0;0,0,0,0', 'analytic_rank': 0, 'bad_primes': [], 'base_change': [], 'class_deg': 6, 'class_label': '4.4.2624.1-1.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1)', 'conductor_label': '1.1', 'conductor_norm': 1, 'conductor_norm_factors': [], 'degree': 4, 'disc': '(1)', 'equation': '{y}^2+\\left(a^{3}-2a^{2}-2a+1\\right){x}{y}+a{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(a+1\\right){x}', 'field_label': '4.4.2624.1', 'galois_images': ['2B', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'jinv': '192256,-143360,-160832,67584', 'label': '4.4.2624.1-1.1-a4', 'local_data': [], 'minD': '(1)', 'n_bad_primes': 0, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 1, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '869.90863547629005269535339681725465101', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 4.577416901526884, 'semistable': True, 'sha': 1, 'short_class_label': '1.1-a', 'short_label': '1.1-a4', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-1,-1,1,0],[0,-1,1,-1],[1,0,0,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 541859404830823183}