Modular curve data - 240.48.0-240.n.2.2

Formats: - HTML - YAML - JSON - 2024-06-06T13:56:36.377874

• 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': '16D0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 191, 146], [0, 1, 191, 226], [0, 7, 107, 52], [0, 11, 49, 82], [0, 13, 11, 82], [0, 13, 43, 162], [1, 0, 16, 1], [1, 16, 0, 1], [16, 105, 135, 226], [16, 195, 165, 166], [16, 225, 15, 226], [17, 16, 224, 225], [224, 75, 45, 134]], 'cm_discriminants': [], 'coarse_class': '240.24.0.n', 'coarse_class_num': 14, 'coarse_index': 24, 'coarse_label': '240.24.0.n.2', 'coarse_level': 240, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [2, 3], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 2, 'generators': [[39, 230, 50, 59], [92, 83, 161, 118], [160, 63, 183, 160], [170, 61, 199, 168], [200, 173, 191, 214], [224, 105, 127, 58]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [20, 6, 2], [20, 24, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1], [60, 24, 2], [60, 96, 1], [80, 12, 2], [80, 24, 1], [80, 96, 1], [120, 24, 2], [120, 48, 1], [120, 192, 1], [240, 48, 2], [240, 96, 1], [240, 384, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [20, 24, 2], [20, 96, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1], [60, 192, 2], [60, 768, 1], [80, 192, 2], [80, 384, 1], [80, 1536, 1], [120, 384, 2], [120, 768, 1], [120, 3072, 1], [240, 1536, 2], [240, 3072, 1], [240, 12288, 1]], 'label': '240.48.0-240.n.2.2', 'lattice_labels': None, 'lattice_x': None, 'level': 240, 'level_is_squarefree': False, 'level_radical': 30, '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, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [20, 48, 2], [20, 192, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [48, 64, 2], [48, 128, 1], [48, 256, 1], [48, 1024, 1], [60, 384, 2], [60, 1536, 1], [80, 192, 2], [80, 384, 1], [80, 768, 1], [80, 3072, 1], [120, 768, 2], [120, 1536, 1], [120, 6144, 1], [240, 1536, 2], [240, 3072, 1], [240, 6144, 1], [240, 24576, 1]], 'parents': ['16.24.0-8.n.1.8', '120.24.0-8.n.1.7'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.a.1', 'psl2level': 16, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '16.24.0-8.n.1.8', '16.24.0-8.n.1.8', '120.24.0-8.n.1.7'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '16.24.0.a.1', 'sl2level': 16, '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': '16D0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 191, 146], [0, 1, 191, 226], [0, 7, 107, 52], [0, 11, 49, 82], [0, 13, 11, 82], [0, 13, 43, 162], [1, 0, 16, 1], [1, 16, 0, 1], [16, 105, 135, 226], [16, 165, 195, 106], [16, 195, 165, 166], [16, 225, 15, 226], [17, 16, 224, 225]], 'cm_discriminants': [], 'coarse_class': '240.24.0.n', 'coarse_class_num': 14, 'coarse_index': 24, 'coarse_label': '240.24.0.n.2', 'coarse_level': 240, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [2, 3], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[64, 215, 97, 118], [72, 167, 209, 182], [99, 200, 230, 37], [121, 100, 154, 147], [161, 178, 142, 189], [205, 84, 168, 145], [218, 77, 67, 180]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [20, 6, 2], [20, 24, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1], [60, 24, 2], [60, 96, 1], [80, 12, 2], [80, 24, 1], [80, 96, 1], [120, 24, 2], [120, 48, 1], [120, 192, 1], [240, 48, 2], [240, 96, 1], [240, 384, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [20, 24, 2], [20, 96, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1], [60, 192, 2], [60, 768, 1], [80, 192, 2], [80, 384, 1], [80, 1536, 1], [120, 384, 2], [120, 768, 1], [120, 3072, 1], [240, 1536, 2], [240, 3072, 1], [240, 12288, 1]], 'label': '240.24.0.n.2', 'lattice_labels': None, 'lattice_x': None, 'level': 240, 'level_is_squarefree': False, 'level_radical': 30, '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, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [16, 16, 2], [16, 32, 1], [16, 128, 1], [20, 48, 2], [20, 192, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [48, 128, 2], [48, 256, 1], [48, 1024, 1], [60, 384, 2], [60, 1536, 1], [80, 384, 2], [80, 768, 1], [80, 3072, 1], [120, 768, 2], [120, 1536, 1], [120, 6144, 1], [240, 3072, 2], [240, 6144, 1], [240, 24576, 1]], 'parents': ['8.12.0.n.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.a.1', 'psl2level': 16, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '16.24.0.a.1', 'sl2level': 16, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 240.24.0.n.2 does not appear in modcurve_models
• domain_label 240.24.0.n.2 does not appear in modcurve_modelmaps
• curve_label 240.24.0.n.2 does not appear in modcurve_points