Modular curve data - 168.96.1-168.fq.1.2

Formats: - HTML - YAML - JSON - 2024-06-03T15:58:04.082293

• 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': '8F1', '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': [[1, 0, 8, 1], [1, 0, 84, 1], [1, 4, 52, 63], [1, 4, 52, 147], [1, 4, 76, 75], [1, 8, 0, 1], [1, 8, 26, 105], [5, 4, 66, 31], [9, 8, 160, 161], [85, 0, 84, 85], [125, 0, 84, 125]], 'cm_discriminants': [], 'coarse_class': '168.48.1.fq', 'coarse_class_num': 147, 'coarse_index': 48, 'coarse_label': '168.48.1.fq.1', 'coarse_level': 168, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 3]], 'cusp_widths': [[4, 4], [8, 4]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 2, 'generators': [[5, 12, 68, 35], [17, 72, 14, 157], [17, 160, 148, 129], [109, 52, 66, 139], [121, 36, 142, 79]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 4, 2], [12, 4, 2], [12, 8, 2], [14, 8, 3], [21, 32, 1], [24, 4, 2], [24, 8, 1], [24, 16, 2], [28, 8, 2], [28, 16, 2], [42, 32, 3], [56, 8, 2], [56, 16, 1], [56, 32, 2], [84, 32, 2], [84, 64, 2], [168, 32, 2], [168, 64, 1], [168, 128, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [14, 24, 3], [21, 192, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [28, 48, 2], [28, 96, 2], [42, 192, 3], [56, 96, 2], [56, 192, 1], [56, 384, 2], [84, 384, 2], [84, 768, 2], [168, 768, 2], [168, 1536, 1], [168, 3072, 2]], 'label': '168.96.1-168.fq.1.2', 'lattice_labels': None, 'lattice_x': None, 'level': 168, 'level_is_squarefree': False, 'level_radical': 42, '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, 3], [3, 8, 1], [4, 2, 6], [6, 8, 3], [7, 48, 1], [8, 4, 4], [8, 8, 4], [12, 16, 6], [14, 48, 3], [21, 384, 1], [24, 32, 4], [24, 64, 4], [28, 96, 6], [42, 384, 3], [56, 192, 4], [56, 384, 4], [84, 768, 6], [168, 1536, 4], [168, 3072, 4]], 'parents': ['8.48.0-8.i.1.2', '84.48.0-84.c.1.4', '168.48.0-8.i.1.7', '168.48.0-84.c.1.29', '168.48.1-168.c.1.3', '168.48.1-168.c.1.36'], 'parents_conj': None, 'pointless': False, 'power': True, 'psl2index': 48, 'psl2label': '8.48.1.a.1', 'psl2level': 8, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 2, '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.1.1', '4.24.0-4.b.1.1', '4.24.0-4.b.1.1', '8.48.0-8.i.1.2', '8.48.0-8.i.1.2', '8.48.0-8.i.1.2', '84.48.0-84.c.1.4'], 'scalar_label': '4.2.1', 'simple': True, 'sl2label': '8.48.1.a.1', 'sl2level': 8, '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': '8F1', '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': [[1, 0, 8, 1], [1, 0, 84, 1], [1, 4, 52, 63], [1, 4, 52, 147], [1, 4, 76, 75], [1, 8, 0, 1], [1, 8, 26, 105], [5, 4, 66, 31], [9, 8, 160, 161], [43, 0, 84, 43], [85, 0, 84, 85]], 'cm_discriminants': [], 'coarse_class': '168.48.1.fq', 'coarse_class_num': 147, 'coarse_index': 48, 'coarse_label': '168.48.1.fq.1', 'coarse_level': 168, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 3]], 'cusp_widths': [[4, 4], [8, 4]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[29, 12, 16, 7], [81, 92, 94, 91], [89, 40, 78, 17], [95, 92, 144, 137], [107, 84, 24, 1], [109, 164, 42, 127]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 4, 2], [12, 4, 2], [12, 8, 2], [14, 8, 3], [21, 32, 1], [24, 4, 2], [24, 8, 1], [24, 16, 2], [28, 8, 2], [28, 16, 2], [42, 32, 3], [56, 8, 2], [56, 16, 1], [56, 32, 2], [84, 32, 2], [84, 64, 2], [168, 32, 2], [168, 64, 1], [168, 128, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [14, 24, 3], [21, 192, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [28, 48, 2], [28, 96, 2], [42, 192, 3], [56, 96, 2], [56, 192, 1], [56, 384, 2], [84, 384, 2], [84, 768, 2], [168, 768, 2], [168, 1536, 1], [168, 3072, 2]], 'label': '168.48.1.fq.1', 'lattice_labels': None, 'lattice_x': None, 'level': 168, 'level_is_squarefree': False, 'level_radical': 42, '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, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [7, 48, 1], [8, 4, 2], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [14, 48, 3], [21, 384, 1], [24, 32, 2], [24, 64, 1], [24, 128, 2], [28, 96, 2], [28, 192, 2], [42, 384, 3], [56, 192, 2], [56, 384, 1], [56, 768, 2], [84, 768, 2], [84, 1536, 2], [168, 1536, 2], [168, 3072, 1], [168, 6144, 2]], 'parents': ['8.24.0.i.1', '84.24.0.c.1', '168.24.1.c.1'], 'parents_conj': [[1, 0, 0, 1], [167, 167, 83, 36], [17, 17, 17, 18]], 'pointless': False, 'power': True, 'psl2index': 48, 'psl2label': '8.48.1.a.1', 'psl2level': 8, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 2, '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.i.1', '8.24.0.i.1', '8.24.0.i.1', '84.24.0.c.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '8.48.1.a.1', 'sl2level': 8, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 168.48.1.fq.1 does not appear in modcurve_models
• domain_label 168.48.1.fq.1 does not appear in modcurve_modelmaps
• curve_label 168.48.1.fq.1 does not appear in modcurve_points