Elliptic curve data - 3.1.23.1-253.1-A5

Formats: - HTML - YAML - JSON - 2024-05-04T07:34:33.093907

• 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': '0.52634230521184457874819769765889297760', 'prec': 133}, 'abs_disc': 23, 'ainvs': '1,0,1;-1,1,0;0,0,0;-639,838,-449;-9210,12248,-6934', 'analytic_rank': 0, 'bad_primes': ['(w^2+w-2)', '(-w^2-2*w+2)'], 'base_change': [], 'class_deg': 8, 'class_label': '3.1.23.1-253.1-A', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w^2-7*w)', 'conductor_label': '253.1', 'conductor_norm': 253, 'conductor_norm_factors': [11, 23], 'degree': 3, 'disc': '(16509*w^2-124897*w+64825)', 'equation': '{y}^2+\\left(a^{2}+1\\right){x}{y}={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-449a^{2}+838a-639\\right){x}-6934a^{2}+12248a-9210', 'field_label': '3.1.23.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'A', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'jinv': '1104329696417202846546921/1146551135499121,-1463012109643929405934449/1146551135499121,833654495257217661469537/1146551135499121', 'label': '3.1.23.1-253.1-A5', 'local_data': [{'p': '(w^2+w-2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-w^2-2*w+2)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 23, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(-43563*w^2-16509*w+108388)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1146551135499121, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '1.2621245096940244740732246351053556049', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.0777612339459866, 'semistable': True, 'sha': 1, 'short_class_label': '253.1-A', 'short_label': '253.1-A5', 'signature': [1, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[-11,45/4,-19/4],[35/4,-8,37/8],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2069306460594550536}