Modular curve data - 60.72.1.ba.1

Formats: - HTML - YAML - JSON - 2024-06-08T06:52:50.671949

• gps_gl2zhat_fine •

  Column	Type
  CPlabel	text
  Glabel	text
  RSZBlabel	text
  RZBlabel	text
  SZlabel	text
  Slabel	text
  all_degree1_points_known	boolean
  bad_primes	integer[]
  canonical_conjugator	integer[]
  canonical_generators	integer[]
  cm_discriminants	integer[]
  coarse_class	text
  coarse_class_num	integer
  coarse_index	integer
  coarse_label	text
  coarse_level	integer
  coarse_num	integer
  conductor	integer[]
  contains_negative_one	boolean
  curve_label	text
  cusp_orbits	integer[]
  cusp_widths	integer[]
  cusps	integer
  determinant_label	text
  dims	integer[]
  factorization	text[]
  fine_num	integer
  generators	integer[]
  genus	integer
  genus_minus_rank	integer
  has_obstruction	smallint
  index	integer
  isogeny_orbits	integer[]
  kummer_orbits	integer[]
  label	text
  lattice_labels	text[]
  lattice_x	integer[]
  level	integer
  level_is_squarefree	boolean
  level_radical	integer
  log_conductor	numeric
  models	smallint
  mults	integer[]
  name	text
  newforms	text[]
  nu2	integer
  nu3	integer
  num_bad_primes	integer
  num_known_degree1_noncm_points	integer
  num_known_degree1_noncusp_points	integer
  num_known_degree1_points	integer
  obstructions	integer[]
  orbits	integer[]
  parents	text[]
  parents_conj	integer[]
  pointless	boolean
  power	boolean
  psl2index	integer
  psl2label	text
  psl2level	integer
  q_gonality	integer
  q_gonality_bounds	integer[]
  qbar_gonality	integer
  qbar_gonality_bounds	integer[]
  rank	integer
  rational_cusps	integer
  reductions	text[]
  scalar_label	text
  simple	boolean
  sl2label	text
  sl2level	integer
  squarefree	boolean
  trace_hash	bigint
  traces	integer[]

  
  {'CPlabel': '20H1', 'Glabel': None, 'RSZBlabel': '60.72.1.36', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 14, 29, 45], 'canonical_generators': [[0, 1, 19, 52], [0, 1, 49, 22], [0, 13, 11, 22], [0, 19, 1, 28], [1, 0, 20, 1], [1, 20, 0, 1], [21, 20, 40, 41], [40, 9, 51, 58], [40, 21, 39, 22], [40, 51, 9, 22]], 'cm_discriminants': [], 'coarse_class': '60.72.1.ba', 'coarse_class_num': 27, 'coarse_index': 72, 'coarse_label': '60.72.1.ba.1', 'coarse_level': 60, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2], [5, 1]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 3], [4, 1]], 'cusp_widths': [[1, 4], [4, 2], [5, 4], [20, 2]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['5.12.0.a.2', '12.6.0.c.1'], 'fine_num': 0, 'generators': [[11, 0, 40, 47], [11, 15, 30, 7], [21, 10, 10, 57], [39, 35, 4, 49], [59, 25, 56, 51]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [6, 4, 1], [6, 8, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [12, 8, 1], [12, 16, 1], [15, 4, 1], [15, 20, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [30, 4, 1], [30, 8, 1], [30, 20, 1], [30, 40, 1], [60, 8, 1], [60, 16, 1], [60, 40, 1], [60, 80, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 2, 1], [5, 5, 2], [6, 4, 1], [6, 8, 1], [10, 2, 1], [10, 4, 1], [10, 5, 2], [10, 10, 2], [12, 16, 1], [12, 32, 1], [15, 16, 1], [15, 40, 2], [20, 8, 1], [20, 16, 1], [20, 20, 2], [20, 40, 2], [30, 16, 1], [30, 32, 1], [30, 40, 2], [30, 80, 2], [60, 64, 1], [60, 128, 1], [60, 160, 2], [60, 320, 2]], 'label': '60.72.1.ba.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '5.6.0.a.1', '5.12.0.a.2', '10.18.0.a.1', '10.36.0.a.1', '12.6.0.c.1', '60.36.0.c.2', '60.36.1.x.1', '60.72.1.ba.1'], 'lattice_x': [4029, 5592, 2512, 1280, 5403, 1896, 8531, 5308, 8720, 5308], 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': {'__RealLiteral__': 0, 'data': '5.19295685089021037623', 'prec': 74}, 'models': None, 'mults': [1], 'name': None, 'newforms': ['180.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 0, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 1], [4, 8, 1], [5, 4, 1], [5, 10, 2], [6, 8, 1], [6, 16, 1], [10, 4, 1], [10, 8, 1], [10, 10, 2], [10, 20, 2], [12, 32, 1], [12, 64, 1], [15, 32, 1], [15, 80, 2], [20, 16, 1], [20, 32, 1], [20, 40, 2], [20, 80, 2], [30, 32, 1], [30, 64, 1], [30, 80, 2], [30, 160, 2], [60, 128, 1], [60, 256, 1], [60, 320, 2], [60, 640, 2]], 'parents': ['10.36.0.a.1', '60.36.0.c.2', '60.36.1.x.1'], 'parents_conj': [[35, 43, 36, 47], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 72, 'psl2label': '20.72.1.a.1', 'psl2level': 20, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '5.12.0.a.2', '5.12.0.a.2', '10.36.0.a.1', '10.36.0.a.1', '10.36.0.a.1', '12.6.0.c.1'], 'scalar_label': '5.2.1', 'simple': True, 'sl2label': '20.72.1.a.1', 'sl2level': 20, 'squarefree': True, 'trace_hash': 54573415799175087, 'traces': [0, 0, 1, 2, 0, 2, 6, -4, -6, -6, -4, 2, -6, -10, 6, 6, -12, 2, 2, 12, 2, 8, -6, 6, 2, -6, 14, 6, 2, 6, 2, 0, -18, -4, 6, 20, -22, -10, -18, 6, 12, -10, 12, 26, -18, 8, -16, -10, 6, 14, 6, 24, 14, 0, 6, 18, -18, 20, 26, -6, 14, 30, 2, -12, -22, 6, 8, 2, 30, -10, -18, -24, -22, 26, -28, -6, 6, 2, 30, -34, -36, 26, -36, 2, 8, -6, -6, 26, -30, 14, 30, 24, 26, 0, -4, 18, -6, 6, 14, 14, 26, 30, 18, -30, 8, -22, 6, -18, 0, -10, -22, 2, 6, 20, -28, 18, 14, -42, -42, -36, -22, -46, -18, 42, 8, 30, -34, 24, -46, -22, 20, -6, -4, -22, -42, 2, 30, 26, -42, 6, -16, 54, 38, 30, 2, 48, 50, -18, -4, -6, 26, 18, 14, -18, -46, -12, -16, 42, -22, 18, -18, 6, -22, 24, -18, 18, -4, 26]}
• modcurve 60.72.1.ba.1 does not appear in modcurve_models
• domain_label 60.72.1.ba.1 does not appear in modcurve_modelmaps
• curve_label 60.72.1.ba.1 does not appear in modcurve_points