Elliptic curve data - 2.2.13.1-108.1-a3

Formats: - HTML - YAML - JSON - 2023-03-30T23:15:49.686669

• 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': '1.1122827359683452661262965386603800029', 'prec': 130}, 'abs_disc': 13, 'ainvs': '0,1;0,1;0,1;-195,82;538,-239', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(-w+1)', '(2)'], 'base_change': [], 'class_deg': 20, 'class_label': '2.2.13.1-108.1-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-6*w)', 'conductor_label': '108.1', 'conductor_norm': 108, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(4015332*w+1417176)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\\left(82a-195\\right){x}-239a+538', 'field_label': '2.2.13.1', 'galois_images': ['2Cs', '5B.4.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 20, 20, 4, 2, 4], [5, 1, 2, 4, 4, 20, 10, 20], [10, 2, 1, 2, 2, 10, 5, 10], [20, 4, 2, 1, 4, 20, 10, 5], [20, 4, 2, 4, 1, 5, 10, 20], [4, 20, 10, 20, 5, 1, 2, 4], [2, 10, 5, 10, 10, 2, 1, 2], [4, 20, 10, 5, 20, 4, 2, 1]], 'jinv': '476379541/236196,0', 'label': '2.2.13.1-108.1-a3', 'local_data': [{'p': '(-w)', 'cp': 4, 'kod': -14, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 16, 'ord_den_j': 10}, {'p': '(-w+1)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(4015332*w+1417176)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 40669853253264, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '4.0103924373472429143325487439725542038', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 1.0386426891785905, 'semistable': False, 'sha': 1, 'short_class_label': '108.1-a', 'short_label': '108.1-a3', 'signature': [2, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-13,4],[-6,4],[1,0]]', '[[5/4,-5/4],[15/8,-1/2],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 961461683509547509}