Elliptic curve data - 6.6.371293.1-64.1-b1

Formats: - HTML - YAML - JSON - 2025-06-18T05:40:47.635859

• 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': '2.51505', 'prec': 24}, 'abs_disc': 371293, 'ainvs': '0,3,-3,-4,1,1;2,5,-4,-5,1,1;1,5,-3,-5,1,1;1051,4023,-4471,-7561,962,1801;46396,170108,-170680,-301077,36003,70970', 'analytic_rank': 1, 'bad_primes': ['(2)'], 'base_change': ['338a2', '338b2', '2.2.13.1-676.1-b1', '3.3.169.1-1352.1-?', '3.3.169.1-8.1-a1'], 'class_deg': 7, 'class_label': '6.6.371293.1-64.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '64.1', 'conductor_norm': 64, 'conductor_norm_factors': [2], 'degree': 6, 'disc': '(-16384)', 'equation': '{y}^2+\\left(a^{5}+a^{4}-4a^{3}-3a^{2}+3a\\right){x}{y}+\\left(a^{5}+a^{4}-5a^{3}-3a^{2}+5a+1\\right){y}={x}^{3}+\\left(a^{5}+a^{4}-5a^{3}-4a^{2}+5a+2\\right){x}^{2}+\\left(1801a^{5}+962a^{4}-7561a^{3}-4471a^{2}+4023a+1051\\right){x}+70970a^{5}+36003a^{4}-301077a^{3}-170680a^{2}+170108a+46396', 'field_label': '6.6.371293.1', 'galois_images': ['7B.1.3'], 'gens': ['[[16/13,-409/13,53,1056/13,-161/13,-264/13],[112,4412/13,-254,-6527/13,645/13,1490/13],[1,0,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.1887004589488550673030416174013041568', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 7], 'isogeny_matrix': [[1, 7], [7, 1]], 'jinv': '-38575685889/16384,0,0,0,0,0', 'label': '6.6.371293.1-64.1-b1', 'local_data': [{'p': '(2)', 'cp': 14, 'kod': 18, 'red': 1, 'normp': 64, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 14, 'ord_den_j': 14}], 'minD': '(16384)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [7], 'nonmax_rad': 7, 'normdisc': 19342813113834066795298816, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.31322469557395309030833421932615461695', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [7], 'reg': {'__RealLiteral__': 0, 'data': '1.1887004589488550673030416174013041568', 'prec': 130}, 'root_analytic_conductor': 77.00376006103502, 'semistable': True, 'sha': 49, 'short_class_label': '64.1-b', 'short_label': '64.1-b1', 'signature': [6, 0], 'tamagawa_product': 14, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 783096698487017456}