Modular curve data - 168.384.9-168.sp.2.8

Formats: - HTML - YAML - JSON - 2024-06-03T07:20:59.892125

• 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': '28F9', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 28, 1], [1, 0, 114, 1], [1, 28, 0, 1], [5, 14, 4, 23], [17, 14, 16, 59], [29, 0, 54, 29], [29, 28, 140, 141], [121, 0, 114, 25], [143, 140, 164, 129], [151, 112, 158, 151], [157, 154, 152, 31]], 'cm_discriminants': [], 'coarse_class': '168.192.9.sp', 'coarse_class_num': 484, 'coarse_index': 192, 'coarse_label': '168.192.9.sp.2', 'coarse_level': 168, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 4], [4, 2]], 'cusp_widths': [[2, 4], [4, 4], [14, 4], [28, 4]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 8, 'generators': [[11, 140, 76, 59], [31, 126, 88, 85], [93, 154, 136, 41], [137, 14, 78, 97], [143, 70, 158, 33]], 'genus': 9, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 384, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [7, 1, 1], [7, 7, 1], [8, 4, 3], [12, 8, 3], [14, 1, 3], [14, 7, 3], [21, 4, 1], [21, 28, 1], [24, 16, 3], [28, 2, 3], [28, 14, 3], [42, 4, 3], [42, 28, 3], [56, 4, 3], [56, 28, 3], [84, 8, 3], [84, 56, 3], [168, 16, 3], [168, 112, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [7, 3, 1], [7, 21, 1], [8, 8, 3], [12, 16, 3], [14, 3, 3], [14, 21, 3], [21, 24, 1], [21, 168, 1], [24, 64, 3], [28, 12, 3], [28, 84, 3], [42, 24, 3], [42, 168, 3], [56, 48, 3], [56, 336, 3], [84, 96, 3], [84, 672, 3], [168, 384, 3], [168, 2688, 3]], 'label': '168.384.9-168.sp.2.8', 'lattice_labels': None, 'lattice_x': None, 'level': 168, 'level_is_squarefree': False, 'level_radical': 42, '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': None, 'orbits': [[2, 1, 3], [3, 8, 1], [4, 4, 3], [6, 8, 3], [7, 6, 1], [7, 42, 1], [8, 16, 3], [12, 32, 3], [14, 6, 3], [14, 42, 3], [21, 48, 1], [21, 336, 1], [24, 128, 3], [28, 24, 3], [28, 168, 3], [42, 48, 3], [42, 336, 3], [56, 96, 3], [56, 672, 3], [84, 192, 3], [84, 1344, 3], [168, 768, 3], [168, 5376, 3]], 'parents': ['56.192.5-56.a.1.10', '84.192.4-84.a.1.3', '168.192.4-84.a.1.23', '168.192.4-168.a.1.4', '168.192.4-168.a.1.23', '168.192.5-56.a.1.1'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 192, 'psl2label': '28.192.9.a.1', 'psl2level': 28, 'q_gonality': None, 'q_gonality_bounds': [2, 16], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 9], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '7.8.0.a.1', '7.8.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '14.48.2.a.1', '14.48.2.a.1', '24.24.0-8.a.1.1', '28.96.2-14.a.1.6', '56.192.5-56.a.1.10', '84.192.4-84.a.1.3'], 'scalar_label': '28.4.1', 'simple': False, 'sl2label': '28.192.9.a.1', 'sl2level': 28, 'squarefree': None, 'trace_hash': None, 'traces': None}
• 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': '28F9', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 28, 1], [1, 0, 114, 1], [1, 28, 0, 1], [5, 14, 4, 23], [11, 14, 16, 137], [17, 14, 16, 59], [17, 56, 10, 17], [25, 28, 4, 39], [29, 28, 140, 141], [121, 0, 114, 25], [139, 0, 114, 139]], 'cm_discriminants': [], 'coarse_class': '168.192.9.sp', 'coarse_class_num': 484, 'coarse_index': 192, 'coarse_label': '168.192.9.sp.2', 'coarse_level': 168, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 4], [4, 2]], 'cusp_widths': [[2, 4], [4, 4], [14, 4], [28, 4]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 62, 97], [43, 70, 10, 45], [47, 42, 60, 101], [71, 56, 16, 71], [149, 112, 112, 13], [167, 28, 160, 81]], 'genus': 9, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 192, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [7, 1, 1], [7, 7, 1], [8, 4, 3], [12, 8, 3], [14, 1, 3], [14, 7, 3], [21, 4, 1], [21, 28, 1], [24, 16, 3], [28, 2, 3], [28, 14, 3], [42, 4, 3], [42, 28, 3], [56, 4, 3], [56, 28, 3], [84, 8, 3], [84, 56, 3], [168, 16, 3], [168, 112, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [7, 3, 1], [7, 21, 1], [8, 8, 3], [12, 16, 3], [14, 3, 3], [14, 21, 3], [21, 24, 1], [21, 168, 1], [24, 64, 3], [28, 12, 3], [28, 84, 3], [42, 24, 3], [42, 168, 3], [56, 48, 3], [56, 336, 3], [84, 96, 3], [84, 672, 3], [168, 384, 3], [168, 2688, 3]], 'label': '168.192.9.sp.2', 'lattice_labels': None, 'lattice_x': None, 'level': 168, 'level_is_squarefree': False, 'level_radical': 42, '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': [], 'orbits': [[2, 1, 3], [3, 8, 1], [4, 4, 3], [6, 8, 3], [7, 6, 1], [7, 42, 1], [8, 16, 3], [12, 32, 3], [14, 6, 3], [14, 42, 3], [21, 48, 1], [21, 336, 1], [24, 128, 3], [28, 24, 3], [28, 168, 3], [42, 48, 3], [42, 336, 3], [56, 96, 3], [56, 672, 3], [84, 192, 3], [84, 1344, 3], [168, 768, 3], [168, 5376, 3]], 'parents': ['56.96.5.a.1', '84.96.4.a.1', '168.96.4.a.1'], 'parents_conj': [[1, 0, 0, 1], [123, 133, 35, 74], [1, 0, 0, 1]], 'pointless': None, 'power': None, 'psl2index': 192, 'psl2label': '28.192.9.a.1', 'psl2level': 28, 'q_gonality': None, 'q_gonality_bounds': [2, 16], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 9], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '7.8.0.a.1', '7.8.0.a.1', '8.12.0.a.1', '8.12.0.a.1', '14.48.2.a.1', '14.48.2.a.1', '14.48.2.a.1', '56.96.5.a.1', '84.96.4.a.1'], 'scalar_label': '28.2.1', 'simple': False, 'sl2label': '28.192.9.a.1', 'sl2level': 28, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 168.192.9.sp.2 does not appear in modcurve_models
• domain_label 168.192.9.sp.2 does not appear in modcurve_modelmaps
• curve_label 168.192.9.sp.2 does not appear in modcurve_points