Modular curve data - 264.192.3-264.qf.2.16

Formats: - HTML - YAML - JSON - 2024-06-12T09:52:55.509608

• 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': '24W3', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 11], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 31, 114], [0, 241, 223, 54], [0, 257, 13, 32], [0, 263, 25, 230], [0, 263, 25, 254], [0, 263, 157, 230], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 240, 241], [120, 11, 253, 230], [120, 143, 121, 230], [144, 11, 253, 254]], 'cm_discriminants': [], 'coarse_class': '264.96.3.qf', 'coarse_class_num': 422, 'coarse_index': 96, 'coarse_label': '264.96.3.qf.2', 'coarse_level': 264, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 5]], 'cusp_widths': [[2, 4], [6, 4], [8, 2], [24, 2]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 16, 'generators': [[45, 40, 190, 123], [93, 242, 244, 203], [96, 173, 1, 152], [131, 42, 116, 73], [195, 22, 76, 201]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 192, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [11, 12, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [22, 12, 1], [22, 24, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [33, 12, 1], [33, 36, 1], [44, 12, 2], [44, 48, 1], [66, 12, 1], [66, 24, 1], [66, 36, 1], [66, 72, 1], [88, 24, 2], [88, 96, 1], [132, 12, 2], [132, 36, 2], [132, 48, 1], [132, 144, 1], [264, 24, 2], [264, 72, 2], [264, 96, 1], [264, 288, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [11, 60, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [22, 60, 1], [22, 120, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [33, 120, 1], [33, 360, 1], [44, 120, 2], [44, 480, 1], [66, 120, 1], [66, 240, 1], [66, 360, 1], [66, 720, 1], [88, 480, 2], [88, 1920, 1], [132, 240, 2], [132, 480, 2], [132, 720, 2], [132, 2880, 1], [264, 960, 2], [264, 1920, 2], [264, 2880, 2], [264, 11520, 1]], 'label': '264.192.3-264.qf.2.16', 'lattice_labels': None, 'lattice_x': None, 'level': 264, 'level_is_squarefree': False, 'level_radical': 66, '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, 2, 1], [3, 3, 2], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 3, 2], [6, 4, 1], [6, 6, 2], [8, 8, 2], [8, 32, 1], [11, 120, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [22, 120, 1], [22, 240, 1], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2], [33, 240, 1], [33, 360, 2], [44, 240, 2], [44, 960, 1], [66, 240, 1], [66, 360, 2], [66, 480, 1], [66, 720, 2], [88, 960, 2], [88, 3840, 1], [132, 480, 2], [132, 720, 4], [132, 960, 2], [132, 2880, 2], [264, 1920, 2], [264, 2880, 4], [264, 3840, 2], [264, 11520, 2]], 'parents': ['12.96.0-12.c.3.3', '264.96.0-12.c.3.20', '264.96.1-264.zx.1.23', '264.96.1-264.zx.1.30', '264.96.2-264.g.1.32', '264.96.2-264.g.1.44'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 96, 'psl2label': '24.96.3.g.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.8.0-3.a.1.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '6.24.0-6.a.1.2', '12.96.0-12.c.3.3', '12.96.0-12.c.3.3', '12.96.0-12.c.3.3', '88.12.0-4.c.1.4'], 'scalar_label': '12.4.1', 'simple': False, 'sl2label': '24.96.3.g.1', 'sl2level': 24, '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': '24W3', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 11], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 31, 114], [0, 1, 107, 34], [0, 1, 239, 10], [0, 1, 239, 34], [0, 7, 251, 232], [0, 23, 41, 210], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 240, 241], [144, 11, 253, 254], [144, 121, 143, 34], [144, 253, 11, 34]], 'cm_discriminants': [], 'coarse_class': '264.96.3.qf', 'coarse_class_num': 422, 'coarse_index': 96, 'coarse_label': '264.96.3.qf.2', 'coarse_level': 264, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 5]], 'cusp_widths': [[2, 4], [6, 4], [8, 2], [24, 2]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[91, 152, 76, 15], [130, 251, 21, 128], [146, 19, 11, 138], [174, 101, 187, 152], [180, 89, 65, 24], [214, 201, 195, 16]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 96, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [11, 12, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [22, 12, 1], [22, 24, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [33, 12, 1], [33, 36, 1], [44, 12, 2], [44, 48, 1], [66, 12, 1], [66, 24, 1], [66, 36, 1], [66, 72, 1], [88, 24, 2], [88, 96, 1], [132, 12, 2], [132, 36, 2], [132, 48, 1], [132, 144, 1], [264, 24, 2], [264, 72, 2], [264, 96, 1], [264, 288, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [11, 60, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [22, 60, 1], [22, 120, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [33, 120, 1], [33, 360, 1], [44, 120, 2], [44, 480, 1], [66, 120, 1], [66, 240, 1], [66, 360, 1], [66, 720, 1], [88, 480, 2], [88, 1920, 1], [132, 240, 2], [132, 480, 2], [132, 720, 2], [132, 2880, 1], [264, 960, 2], [264, 1920, 2], [264, 2880, 2], [264, 11520, 1]], 'label': '264.96.3.qf.2', 'lattice_labels': None, 'lattice_x': None, 'level': 264, 'level_is_squarefree': False, 'level_radical': 66, '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, 2, 1], [3, 6, 1], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 8, 2], [8, 32, 1], [11, 120, 1], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 48, 1], [22, 120, 1], [22, 240, 1], [24, 16, 2], [24, 32, 2], [24, 48, 2], [24, 192, 1], [33, 240, 1], [33, 720, 1], [44, 240, 2], [44, 960, 1], [66, 240, 1], [66, 480, 1], [66, 720, 1], [66, 1440, 1], [88, 960, 2], [88, 3840, 1], [132, 480, 2], [132, 960, 2], [132, 1440, 2], [132, 5760, 1], [264, 1920, 2], [264, 3840, 2], [264, 5760, 2], [264, 23040, 1]], 'parents': ['12.48.0.c.3', '264.48.1.zx.1', '264.48.2.g.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [67, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 96, 'psl2label': '24.96.3.g.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '6.12.0.a.1', '6.12.0.a.1', '12.48.0.c.3', '12.48.0.c.3', '12.48.0.c.3'], 'scalar_label': '12.2.1', 'simple': False, 'sl2label': '24.96.3.g.1', 'sl2level': 24, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 264.96.3.qf.2 does not appear in modcurve_models
• domain_label 264.96.3.qf.2 does not appear in modcurve_modelmaps
• curve_label 264.96.3.qf.2 does not appear in modcurve_points