Modular curve data - 264.192.1-264.sm.1.23

Formats: - HTML - YAML - JSON - 2024-06-12T07:53:51.083938

• 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': '24J1', '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, 239, 98], [0, 1, 239, 122], [0, 23, 185, 114], [0, 241, 179, 230], [0, 259, 71, 164], [0, 263, 113, 54], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 240, 241], [120, 253, 11, 98], [144, 121, 143, 122], [144, 253, 11, 122]], 'cm_discriminants': [], 'coarse_class': '264.96.1.sm', 'coarse_class_num': 481, 'coarse_index': 96, 'coarse_label': '264.96.1.sm.1', 'coarse_level': 264, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[1, 4], [2, 2], [3, 4], [6, 2], [8, 2], [24, 2]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 23, 'generators': [[35, 90, 196, 217], [51, 20, 260, 255], [82, 91, 27, 110], [83, 26, 58, 147], [103, 220, 204, 47]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, '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': '264.192.1-264.sm.1.23', 'lattice_labels': None, 'lattice_x': None, 'level': 264, 'level_is_squarefree': False, 'level_radical': 66, 'log_conductor': None, 'models': None, 'mults': [1], '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.3.17', '264.96.0-264.dp.2.21', '264.96.0-264.dp.2.39', '264.96.1-264.zt.1.30', '264.96.1-264.zt.1.54'], 'parents_conj': None, 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '24.96.1.a.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 96], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, '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.z.1'], 'scalar_label': '12.4.1', 'simple': True, 'sl2label': '24.96.1.a.1', 'sl2level': 24, 'squarefree': True, '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': '24J1', '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, 151, 210], [0, 1, 239, 98], [0, 1, 239, 122], [0, 5, 193, 100], [0, 23, 85, 34], [0, 23, 185, 114], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 240, 241], [144, 11, 253, 166], [144, 121, 143, 122], [144, 253, 11, 122]], 'cm_discriminants': [], 'coarse_class': '264.96.1.sm', 'coarse_class_num': 481, 'coarse_index': 96, 'coarse_label': '264.96.1.sm.1', 'coarse_level': 264, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[1, 4], [2, 2], [3, 4], [6, 2], [8, 2], [24, 2]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[4, 75, 71, 224], [42, 227, 91, 214], [60, 55, 131, 152], [115, 42, 138, 151], [118, 157, 87, 224], [212, 257, 127, 6]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, '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': '264.96.1.sm.1', 'lattice_labels': None, 'lattice_x': None, 'level': 264, 'level_is_squarefree': False, 'level_radical': 66, 'log_conductor': None, 'models': None, 'mults': [1], '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', '264.48.0.dp.2', '264.48.1.zt.1'], 'parents_conj': [[155, 0, 0, 1], [67, 0, 0, 1], [1, 0, 0, 1]], 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '24.96.1.a.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 96], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, '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', '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', '88.12.0.z.1'], 'scalar_label': '12.2.1', 'simple': True, 'sl2label': '24.96.1.a.1', 'sl2level': 24, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 264.96.1.sm.1 does not appear in modcurve_models
• domain_label 264.96.1.sm.1 does not appear in modcurve_modelmaps
• curve_label 264.96.1.sm.1 does not appear in modcurve_points