Modular curve data - 208.336.11-104.bx.1.28

Formats: - HTML - YAML - JSON - 2024-06-05T08:47:27.724517

• 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': '104D11', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 9, 7, 2], [0, 9, 69, 44], [0, 27, 77, 54], [0, 53, 51, 2], [0, 167, 145, 126], [0, 171, 149, 126], [0, 173, 191, 190], [0, 183, 129, 158], [0, 191, 121, 174], [0, 191, 153, 142], [0, 199, 113, 190], [0, 207, 105, 206], [103, 0, 0, 207], [105, 104, 104, 105], [207, 0, 104, 207], [207, 104, 0, 207]], 'cm_discriminants': [], 'coarse_class': '104.168.11.bx', 'coarse_class_num': 50, 'coarse_index': 168, 'coarse_label': '104.168.11.bx.1', 'coarse_level': 104, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 8]], 'cusp_widths': [[1, 2], [2, 1], [8, 1], [13, 2], [26, 1], [104, 1]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['13.14.0.a.1', '16.24.0-8.n.1.8'], 'fine_num': 28, 'generators': [[50, 39, 185, 112], [65, 196, 198, 167], [76, 95, 79, 92], [101, 60, 122, 143], [144, 37, 35, 146], [150, 89, 201, 38], [184, 137, 127, 194]], 'genus': 11, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 336, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [13, 1, 1], [13, 13, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [26, 1, 1], [26, 2, 1], [26, 13, 1], [26, 26, 1], [52, 1, 2], [52, 4, 1], [52, 13, 2], [52, 52, 1], [104, 1, 2], [104, 2, 1], [104, 8, 1], [104, 13, 2], [104, 26, 1], [104, 104, 1], [208, 2, 2], [208, 4, 1], [208, 16, 1], [208, 26, 2], [208, 52, 1], [208, 208, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [13, 6, 1], [13, 78, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [26, 6, 1], [26, 12, 1], [26, 78, 1], [26, 156, 1], [52, 12, 2], [52, 48, 1], [52, 156, 2], [52, 624, 1], [104, 24, 2], [104, 48, 1], [104, 192, 1], [104, 312, 2], [104, 624, 1], [104, 2496, 1], [208, 96, 2], [208, 192, 1], [208, 768, 1], [208, 1248, 2], [208, 2496, 1], [208, 9984, 1]], 'label': '208.336.11-104.bx.1.28', 'lattice_labels': None, 'lattice_x': None, 'level': 208, 'level_is_squarefree': False, 'level_radical': 26, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [13, 12, 1], [13, 156, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [26, 12, 1], [26, 24, 1], [26, 156, 1], [26, 312, 1], [52, 24, 2], [52, 96, 1], [52, 312, 2], [52, 1248, 1], [104, 48, 2], [104, 96, 1], [104, 384, 1], [104, 624, 2], [104, 1248, 1], [104, 4992, 1], [208, 96, 2], [208, 192, 1], [208, 384, 1], [208, 1248, 2], [208, 1536, 1], [208, 2496, 1], [208, 4992, 1], [208, 19968, 1]], 'parents': ['16.24.0-8.n.1.8'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 168, 'psl2label': '104.168.11.b.1', 'psl2level': 104, 'q_gonality': None, 'q_gonality_bounds': [4, 11], 'qbar_gonality': None, 'qbar_gonality_bounds': [4, 11], 'rank': None, 'rational_cusps': 8, 'reductions': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '13.14.0.a.1', '16.24.0-8.n.1.8', '26.42.2.a.1', '52.84.5.c.1', '104.168.11.bx.1'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '104.168.11.b.1', 'sl2level': 208, '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': '104D11', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 13], 'canonical_conjugator': [0, 1, 1, 103], 'canonical_generators': [[0, 1, 103, 2], [0, 9, 7, 2], [0, 9, 69, 44], [0, 9, 95, 18], [0, 17, 55, 66], [0, 17, 87, 34], [0, 25, 79, 50], [0, 27, 77, 54], [0, 35, 17, 18], [0, 37, 59, 82], [0, 41, 63, 82], [0, 53, 51, 2]], 'cm_discriminants': [], 'coarse_class': '104.168.11.bx', 'coarse_class_num': 50, 'coarse_index': 168, 'coarse_label': '104.168.11.bx.1', 'coarse_level': 104, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 8]], 'cusp_widths': [[1, 2], [2, 1], [8, 1], [13, 2], [26, 1], [104, 1]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['8.12.0.n.1', '13.14.0.a.1'], 'fine_num': 0, 'generators': [[23, 37, 0, 85], [29, 55, 0, 51], [57, 27, 0, 31], [61, 36, 0, 49], [75, 82, 0, 85], [95, 81, 0, 41], [101, 62, 0, 15]], 'genus': 11, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 168, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [13, 1, 1], [13, 13, 1], [26, 1, 1], [26, 2, 1], [26, 13, 1], [26, 26, 1], [52, 1, 2], [52, 4, 1], [52, 13, 2], [52, 52, 1], [104, 1, 2], [104, 2, 1], [104, 8, 1], [104, 13, 2], [104, 26, 1], [104, 104, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [13, 6, 1], [13, 78, 1], [26, 6, 1], [26, 12, 1], [26, 78, 1], [26, 156, 1], [52, 12, 2], [52, 48, 1], [52, 156, 2], [52, 624, 1], [104, 24, 2], [104, 48, 1], [104, 192, 1], [104, 312, 2], [104, 624, 1], [104, 2496, 1]], 'label': '104.168.11.bx.1', 'lattice_labels': None, 'lattice_x': None, 'level': 104, 'level_is_squarefree': False, 'level_radical': 26, 'log_conductor': None, 'models': None, 'mults': None, 'name': 'X0(104)', 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [13, 12, 1], [13, 156, 1], [26, 12, 1], [26, 24, 1], [26, 156, 1], [26, 312, 1], [52, 24, 2], [52, 96, 1], [52, 312, 2], [52, 1248, 1], [104, 48, 2], [104, 96, 1], [104, 384, 1], [104, 624, 2], [104, 1248, 1], [104, 4992, 1]], 'parents': ['8.12.0.n.1', '52.84.5.c.1'], 'parents_conj': [[1, 0, 0, 1], [79, 0, 52, 1]], 'pointless': False, 'power': None, 'psl2index': 168, 'psl2label': '104.168.11.b.1', 'psl2level': 104, 'q_gonality': None, 'q_gonality_bounds': [4, 11], 'qbar_gonality': None, 'qbar_gonality_bounds': [4, 11], 'rank': None, 'rational_cusps': 8, 'reductions': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '13.14.0.a.1', '26.42.2.a.1', '52.84.5.c.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '104.168.11.b.1', 'sl2level': 104, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 104.168.11.bx.1 does not appear in modcurve_models
• domain_label 104.168.11.bx.1 does not appear in modcurve_modelmaps
• curve_label 104.168.11.bx.1 does not appear in modcurve_points