Modular curve data - 168.192.3-168.pw.2.7

Formats: - HTML - YAML - JSON - 2024-05-31T23:14:35.677901

• 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, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 19, 162], [0, 1, 103, 90], [0, 1, 103, 162], [0, 157, 139, 6], [0, 163, 55, 132], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 144, 145], [48, 35, 133, 62], [48, 119, 49, 62], [120, 35, 133, 134]], 'cm_discriminants': [], 'coarse_class': '168.96.3.pw', 'coarse_class_num': 413, 'coarse_index': 96, 'coarse_label': '168.96.3.pw.2', 'coarse_level': 168, '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': 7, 'generators': [[49, 122, 138, 113], [55, 140, 120, 71], [74, 105, 77, 130], [122, 81, 41, 142], [157, 150, 120, 79]], '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], [7, 8, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [14, 8, 1], [14, 16, 1], [21, 8, 1], [21, 24, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [28, 8, 2], [28, 32, 1], [42, 8, 1], [42, 16, 1], [42, 24, 1], [42, 48, 1], [56, 16, 2], [56, 64, 1], [84, 8, 2], [84, 24, 2], [84, 32, 1], [84, 96, 1], [168, 16, 2], [168, 48, 2], [168, 64, 1], [168, 192, 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], [7, 24, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [14, 24, 1], [14, 48, 1], [21, 48, 1], [21, 144, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [28, 48, 2], [28, 192, 1], [42, 48, 1], [42, 96, 1], [42, 144, 1], [42, 288, 1], [56, 192, 2], [56, 768, 1], [84, 96, 2], [84, 192, 2], [84, 288, 2], [84, 1152, 1], [168, 384, 2], [168, 768, 2], [168, 1152, 2], [168, 4608, 1]], 'label': '168.192.3-168.pw.2.7', 'lattice_labels': None, 'lattice_x': None, 'level': 168, 'level_is_squarefree': False, 'level_radical': 42, '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], [7, 48, 1], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [14, 48, 1], [14, 96, 1], [21, 96, 1], [21, 144, 2], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2], [28, 96, 2], [28, 384, 1], [42, 96, 1], [42, 144, 2], [42, 192, 1], [42, 288, 2], [56, 384, 2], [56, 1536, 1], [84, 192, 2], [84, 288, 4], [84, 384, 2], [84, 1152, 2], [168, 768, 2], [168, 1152, 4], [168, 1536, 2], [168, 4608, 2]], 'parents': ['12.96.0-12.c.3.3', '168.96.0-12.c.3.10', '168.96.1-168.zs.1.6', '168.96.1-168.zs.1.21', '168.96.2-168.g.1.7', '168.96.2-168.g.1.17'], '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', '56.12.0.y.1'], '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, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 19, 162], [0, 1, 103, 90], [0, 1, 103, 162], [0, 5, 113, 36], [0, 11, 29, 162], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 144, 145], [120, 35, 133, 134], [120, 49, 119, 106], [120, 133, 35, 106]], 'cm_discriminants': [], 'coarse_class': '168.96.3.pw', 'coarse_class_num': 413, 'coarse_index': 96, 'coarse_label': '168.96.3.pw.2', 'coarse_level': 168, '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': [[23, 106, 146, 111], [33, 128, 140, 165], [41, 90, 158, 73], [71, 138, 68, 145], [74, 75, 149, 136], [128, 159, 131, 112]], '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], [7, 8, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [14, 8, 1], [14, 16, 1], [21, 8, 1], [21, 24, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [28, 8, 2], [28, 32, 1], [42, 8, 1], [42, 16, 1], [42, 24, 1], [42, 48, 1], [56, 16, 2], [56, 64, 1], [84, 8, 2], [84, 24, 2], [84, 32, 1], [84, 96, 1], [168, 16, 2], [168, 48, 2], [168, 64, 1], [168, 192, 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], [7, 24, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [14, 24, 1], [14, 48, 1], [21, 48, 1], [21, 144, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [28, 48, 2], [28, 192, 1], [42, 48, 1], [42, 96, 1], [42, 144, 1], [42, 288, 1], [56, 192, 2], [56, 768, 1], [84, 96, 2], [84, 192, 2], [84, 288, 2], [84, 1152, 1], [168, 384, 2], [168, 768, 2], [168, 1152, 2], [168, 4608, 1]], 'label': '168.96.3.pw.2', 'lattice_labels': None, 'lattice_x': None, 'level': 168, 'level_is_squarefree': False, 'level_radical': 42, '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], [7, 48, 1], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 48, 1], [14, 48, 1], [14, 96, 1], [21, 96, 1], [21, 288, 1], [24, 16, 2], [24, 32, 2], [24, 48, 2], [24, 192, 1], [28, 96, 2], [28, 384, 1], [42, 96, 1], [42, 192, 1], [42, 288, 1], [42, 576, 1], [56, 384, 2], [56, 1536, 1], [84, 192, 2], [84, 384, 2], [84, 576, 2], [84, 2304, 1], [168, 768, 2], [168, 1536, 2], [168, 2304, 2], [168, 9216, 1]], 'parents': ['12.48.0.c.3', '168.48.1.zs.1', '168.48.2.g.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 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', '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', '56.12.0.y.1'], 'scalar_label': '12.2.1', 'simple': False, 'sl2label': '24.96.3.g.1', 'sl2level': 24, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 168.96.3.pw.2 does not appear in modcurve_models
• domain_label 168.96.3.pw.2 does not appear in modcurve_modelmaps
• curve_label 168.96.3.pw.2 does not appear in modcurve_points