Modular curve data - 280.96.0-280.cs.2.14

Formats: - HTML - YAML - JSON - 2024-06-11T12:32:28.698175

• 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': '8O0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 210, 1], [1, 8, 0, 1], [1, 8, 82, 105], [3, 4, 110, 173], [9, 8, 272, 273], [209, 0, 70, 209], [277, 272, 232, 23], [277, 276, 256, 191], [279, 276, 176, 205], [279, 276, 256, 245]], 'cm_discriminants': [], 'coarse_class': '280.48.0.cs', 'coarse_class_num': 71, 'coarse_index': 48, 'coarse_label': '280.48.0.cs.2', 'coarse_level': 280, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3], [4, 1]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 14, 'generators': [[21, 276, 188, 145], [69, 24, 162, 199], [159, 20, 222, 187], [267, 188, 256, 235], [275, 108, 102, 101]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [7, 8, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [14, 8, 3], [20, 6, 2], [20, 12, 2], [28, 8, 2], [28, 16, 2], [35, 48, 1], [40, 12, 2], [40, 24, 2], [56, 16, 2], [56, 32, 2], [70, 48, 3], [140, 48, 2], [140, 96, 2], [280, 96, 2], [280, 192, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [7, 24, 1], [8, 4, 2], [8, 8, 2], [10, 12, 3], [14, 24, 3], [20, 24, 2], [20, 48, 2], [28, 48, 2], [28, 96, 2], [35, 576, 1], [40, 96, 2], [40, 192, 2], [56, 192, 2], [56, 384, 2], [70, 576, 3], [140, 1152, 2], [140, 2304, 2], [280, 4608, 2], [280, 9216, 2]], 'label': '280.96.0-280.cs.2.14', 'lattice_labels': None, 'lattice_x': None, 'level': 280, 'level_is_squarefree': False, 'level_radical': 70, '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], [4, 2, 2], [4, 4, 2], [5, 24, 1], [7, 48, 1], [8, 8, 2], [8, 16, 2], [10, 24, 3], [14, 48, 3], [20, 48, 2], [20, 96, 2], [28, 96, 2], [28, 192, 2], [35, 1152, 1], [40, 192, 2], [40, 384, 2], [56, 384, 2], [56, 768, 2], [70, 1152, 3], [140, 2304, 2], [140, 4608, 2], [280, 9216, 2], [280, 18432, 2]], 'parents': ['40.48.0-40.m.1.14', '56.48.0-56.i.1.6', '280.48.0-40.m.1.1', '280.48.0-56.i.1.2', '280.48.0-280.t.1.23', '280.48.0-280.t.1.29'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.b.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [1, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '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', '4.12.0.b.1', '4.12.0.b.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '40.48.0-40.m.1.14', '56.48.0-56.i.1.6', '140.24.0-4.b.1.3'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '8.48.0.b.1', 'sl2level': 8, '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': '8O0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 210, 1], [1, 4, 24, 35], [1, 4, 104, 75], [1, 8, 0, 1], [1, 8, 82, 105], [3, 4, 24, 89], [3, 4, 110, 173], [3, 8, 48, 257], [9, 8, 272, 273], [71, 0, 210, 71]], 'cm_discriminants': [], 'coarse_class': '280.48.0.cs', 'coarse_class_num': 71, 'coarse_index': 48, 'coarse_label': '280.48.0.cs.2', 'coarse_level': 280, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3], [4, 1]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 92, 0, 171], [17, 112, 172, 163], [97, 132, 14, 173], [143, 208, 64, 253], [229, 248, 132, 87], [237, 196, 24, 121]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [7, 8, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [14, 8, 3], [20, 6, 2], [20, 12, 2], [28, 8, 2], [28, 16, 2], [35, 48, 1], [40, 12, 2], [40, 24, 2], [56, 16, 2], [56, 32, 2], [70, 48, 3], [140, 48, 2], [140, 96, 2], [280, 96, 2], [280, 192, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [7, 24, 1], [8, 4, 2], [8, 8, 2], [10, 12, 3], [14, 24, 3], [20, 24, 2], [20, 48, 2], [28, 48, 2], [28, 96, 2], [35, 576, 1], [40, 96, 2], [40, 192, 2], [56, 192, 2], [56, 384, 2], [70, 576, 3], [140, 1152, 2], [140, 2304, 2], [280, 4608, 2], [280, 9216, 2]], 'label': '280.48.0.cs.2', 'lattice_labels': None, 'lattice_x': None, 'level': 280, 'level_is_squarefree': False, 'level_radical': 70, '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], [4, 2, 2], [4, 4, 2], [5, 24, 1], [7, 48, 1], [8, 8, 2], [8, 16, 2], [10, 24, 3], [14, 48, 3], [20, 48, 2], [20, 96, 2], [28, 96, 2], [28, 192, 2], [35, 1152, 1], [40, 192, 2], [40, 384, 2], [56, 384, 2], [56, 768, 2], [70, 1152, 3], [140, 2304, 2], [140, 4608, 2], [280, 9216, 2], [280, 18432, 2]], 'parents': ['40.24.0.m.1', '56.24.0.i.1', '280.24.0.t.1'], 'parents_conj': [[1, 0, 0, 1], [191, 28, 193, 111], [1, 0, 0, 1]], 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.b.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [1, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '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', '4.12.0.b.1', '4.12.0.b.1', '4.12.0.b.1', '4.12.0.b.1', '4.12.0.b.1', '40.24.0.m.1', '56.24.0.i.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.48.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 280.48.0.cs.2 does not appear in modcurve_models
• domain_label 280.48.0.cs.2 does not appear in modcurve_modelmaps
• curve_label 280.48.0.cs.2 does not appear in modcurve_points