Modular curve data - 264.96.0-264.j.1.6

Formats: - HTML - YAML - JSON - 2024-06-08T05:19:38.734159

• 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': '8N0', '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': [[1, 0, 8, 1], [1, 0, 132, 1], [1, 2, 80, 75], [1, 2, 224, 99], [1, 2, 224, 231], [1, 8, 0, 1], [1, 132, 0, 1], [9, 8, 256, 257], [65, 132, 132, 65], [261, 262, 16, 87], [263, 262, 40, 231]], 'cm_discriminants': [], 'coarse_class': '264.48.0.j', 'coarse_class_num': 10, 'coarse_index': 48, 'coarse_label': '264.48.0.j.1', 'coarse_level': 264, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3], [4, 1]], 'cusp_widths': [[4, 8], [8, 2]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 6, 'generators': [[49, 126, 200, 83], [97, 2, 204, 107], [169, 104, 204, 253], [175, 60, 132, 73], [187, 52, 204, 169]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [11, 12, 1], [12, 4, 2], [12, 8, 2], [22, 12, 3], [24, 8, 2], [24, 16, 2], [33, 48, 1], [44, 12, 2], [44, 24, 2], [66, 48, 3], [88, 24, 2], [88, 48, 2], [132, 48, 2], [132, 96, 2], [264, 96, 2], [264, 192, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 4, 2], [8, 8, 2], [11, 60, 1], [12, 8, 2], [12, 16, 2], [22, 60, 3], [24, 32, 2], [24, 64, 2], [33, 480, 1], [44, 120, 2], [44, 240, 2], [66, 480, 3], [88, 480, 2], [88, 960, 2], [132, 960, 2], [132, 1920, 2], [264, 3840, 2], [264, 7680, 2]], 'label': '264.96.0-264.j.1.6', '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, 3], [3, 8, 1], [4, 2, 4], [4, 4, 1], [6, 8, 3], [8, 8, 4], [8, 16, 1], [11, 120, 1], [12, 16, 4], [12, 32, 1], [22, 120, 3], [24, 64, 4], [24, 128, 1], [33, 960, 1], [44, 240, 4], [44, 480, 1], [66, 960, 3], [88, 960, 4], [88, 1920, 1], [132, 1920, 4], [132, 3840, 1], [264, 7680, 4], [264, 15360, 1]], 'parents': ['12.48.0-12.c.1.2', '88.48.0-88.i.1.24', '264.48.0-12.c.1.6', '264.48.0-88.i.1.4', '264.48.0-264.u.2.19', '264.48.0-264.u.2.48'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.a.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', '4.24.0-4.b.1.2', '4.24.0-4.b.1.2', '4.24.0-4.b.1.2', '12.48.0-12.c.1.2', '12.48.0-12.c.1.2', '12.48.0-12.c.1.2', '88.48.0-88.i.1.24'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '8.48.0.a.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': '8N0', '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': [[1, 0, 8, 1], [1, 0, 132, 1], [1, 2, 80, 75], [1, 2, 224, 33], [1, 2, 224, 99], [1, 2, 224, 231], [1, 8, 0, 1], [1, 132, 0, 1], [3, 2, 248, 177], [9, 8, 256, 257], [199, 132, 132, 199]], 'cm_discriminants': [], 'coarse_class': '264.48.0.j', 'coarse_class_num': 10, 'coarse_index': 48, 'coarse_label': '264.48.0.j.1', 'coarse_level': 264, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3], [4, 1]], 'cusp_widths': [[4, 8], [8, 2]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[19, 8, 128, 131], [19, 82, 136, 165], [51, 176, 172, 225], [131, 28, 100, 259], [155, 158, 228, 193], [245, 150, 64, 49]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [11, 12, 1], [12, 4, 2], [12, 8, 2], [22, 12, 3], [24, 8, 2], [24, 16, 2], [33, 48, 1], [44, 12, 2], [44, 24, 2], [66, 48, 3], [88, 24, 2], [88, 48, 2], [132, 48, 2], [132, 96, 2], [264, 96, 2], [264, 192, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 4, 2], [8, 8, 2], [11, 60, 1], [12, 8, 2], [12, 16, 2], [22, 60, 3], [24, 32, 2], [24, 64, 2], [33, 480, 1], [44, 120, 2], [44, 240, 2], [66, 480, 3], [88, 480, 2], [88, 960, 2], [132, 960, 2], [132, 1920, 2], [264, 3840, 2], [264, 7680, 2]], 'label': '264.48.0.j.1', '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, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 8, 2], [8, 16, 2], [11, 120, 1], [12, 16, 2], [12, 32, 2], [22, 120, 3], [24, 64, 2], [24, 128, 2], [33, 960, 1], [44, 240, 2], [44, 480, 2], [66, 960, 3], [88, 960, 2], [88, 1920, 2], [132, 1920, 2], [132, 3840, 2], [264, 7680, 2], [264, 15360, 2]], 'parents': ['12.24.0.c.1', '88.24.0.i.1', '264.24.0.u.2'], 'parents_conj': [[1, 0, 0, 1], [136, 99, 21, 262], [202, 33, 121, 26]], 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.a.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', '12.24.0.c.1', '12.24.0.c.1', '12.24.0.c.1', '88.24.0.i.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.48.0.a.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 264.48.0.j.1 does not appear in modcurve_models
• domain_label 264.48.0.j.1 does not appear in modcurve_modelmaps
• curve_label 264.48.0.j.1 does not appear in modcurve_points