Modular curve data - 312.288.15.cyb.1

Formats: - HTML - YAML - JSON - 2024-06-02T20:15:36.220400

• 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': '24E15', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 24, 1], [1, 4, 172, 159], [1, 4, 196, 111], [1, 4, 244, 303], [1, 4, 292, 195], [1, 8, 276, 143], [1, 24, 0, 1], [1, 26, 104, 209], [1, 182, 104, 209], [1, 260, 104, 209], [7, 10, 244, 219], [25, 24, 288, 289], [79, 26, 104, 287]], 'cm_discriminants': [], 'coarse_class': '312.288.15.cyb', 'coarse_class_num': 1978, 'coarse_index': 288, 'coarse_label': '312.288.15.cyb.1', 'coarse_level': 312, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2], [4, 2], [8, 1]], 'cusp_widths': [[6, 8], [12, 4], [24, 8]], 'cusps': 20, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[7, 24, 20, 209], [81, 100, 100, 305], [97, 20, 80, 125], [97, 276, 188, 89], [151, 106, 292, 141], [265, 84, 168, 67]], 'genus': 15, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 288, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [13, 14, 1], [24, 8, 2], [24, 16, 2], [26, 14, 3], [39, 56, 1], [52, 14, 2], [52, 28, 2], [78, 56, 3], [104, 28, 2], [104, 56, 2], [156, 56, 2], [156, 112, 2], [312, 112, 2], [312, 224, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [13, 84, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [26, 84, 3], [39, 672, 1], [52, 168, 2], [52, 336, 2], [78, 672, 3], [104, 336, 2], [104, 672, 1], [104, 1344, 2], [156, 1344, 2], [156, 2688, 2], [312, 2688, 2], [312, 5376, 1], [312, 10752, 2]], 'label': '312.288.15.cyb.1', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': [0, 19, 61, 103], 'orbits': [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 4, 2], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [13, 168, 1], [24, 32, 2], [24, 64, 1], [24, 128, 2], [26, 168, 3], [39, 1344, 1], [52, 336, 2], [52, 672, 2], [78, 1344, 3], [104, 672, 2], [104, 1344, 1], [104, 2688, 2], [156, 2688, 2], [156, 5376, 2], [312, 5376, 2], [312, 10752, 1], [312, 21504, 2]], 'parents': ['24.144.8.er.1', '312.144.7.baj.2', '312.144.7.bak.1', '312.144.7.bii.1', '312.144.8.gs.2', '312.144.8.gt.1', '312.144.8.ou.1'], 'parents_conj': [[1, 0, 0, 1], [23, 179, 296, 193], [1, 0, 0, 1], [85, 0, 78, 163], [1, 0, 0, 1], [1, 0, 0, 1], [101, 257, 66, 223]], 'pointless': True, 'power': None, 'psl2index': 288, 'psl2label': '24.288.15.g.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [4, 28], 'qbar_gonality': None, 'qbar_gonality_bounds': [4, 15], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '3.3.0.a.1', '3.3.0.a.1', '4.12.0.b.1', '4.12.0.b.1', '6.18.1.a.1', '6.18.1.a.1', '8.24.0.e.2', '8.24.0.e.2', '12.36.2.b.1', '12.36.2.b.1', '24.144.8.er.1'], 'scalar_label': '8.2.2', 'simple': False, 'sl2label': '24.288.15.g.1', 'sl2level': 24, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 312.288.15.cyb.1 does not appear in modcurve_models
• domain_label 312.288.15.cyb.1 does not appear in modcurve_modelmaps
• curve_label 312.288.15.cyb.1 does not appear in modcurve_points