Modular curve data - 168.16.0-84.b.1.4

Formats: - HTML - YAML - JSON - 2024-05-31T09:43:30.967735

• 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': '6C0', '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, 36], [0, 1, 19, 48], [0, 167, 127, 110], [0, 167, 143, 132], [1, 0, 6, 1], [1, 0, 84, 1], [1, 6, 0, 1], [1, 84, 0, 1], [15, 7, 77, 64], [83, 0, 0, 167], [85, 84, 84, 85], [132, 161, 91, 167], [161, 162, 90, 89]], 'cm_discriminants': [], 'coarse_class': '84.8.0.b', 'coarse_class_num': 2, 'coarse_index': 8, 'coarse_label': '84.8.0.b.1', 'coarse_level': 84, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [6, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 4, 'generators': [[13, 30, 79, 53], [45, 125, 34, 29], [149, 124, 107, 129], [157, 5, 7, 96]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 16, 'isogeny_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [7, 8, 1], [8, 12, 1], [12, 6, 1], [12, 18, 1], [14, 24, 1], [21, 8, 1], [21, 24, 1], [24, 12, 1], [24, 36, 1], [28, 48, 1], [42, 24, 1], [42, 72, 1], [56, 96, 1], [84, 48, 1], [84, 144, 1], [168, 96, 1], [168, 288, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [7, 24, 1], [8, 24, 1], [12, 12, 1], [12, 36, 1], [14, 72, 1], [21, 48, 1], [21, 144, 1], [24, 48, 1], [24, 144, 1], [28, 288, 1], [42, 144, 1], [42, 432, 1], [56, 1152, 1], [84, 576, 1], [84, 1728, 1], [168, 2304, 1], [168, 6912, 1]], 'label': '168.16.0-84.b.1.4', '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': 2, '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, 3, 1], [3, 2, 1], [3, 6, 1], [4, 12, 1], [6, 6, 1], [6, 18, 1], [7, 48, 1], [8, 48, 1], [12, 24, 1], [12, 72, 1], [14, 144, 1], [21, 96, 1], [21, 288, 1], [24, 96, 1], [24, 288, 1], [28, 576, 1], [42, 288, 1], [42, 864, 1], [56, 2304, 1], [84, 1152, 1], [84, 3456, 1], [168, 4608, 1], [168, 13824, 1]], 'parents': ['24.8.0-3.a.1.2', '168.8.0-3.a.1.5'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '6.8.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '24.8.0-3.a.1.2', '84.8.0.b.1'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '6.8.0.a.1', 'sl2level': 6, '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': '6C0', '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, 36], [0, 1, 19, 48], [0, 1, 25, 36], [0, 1, 41, 58], [1, 0, 6, 1], [1, 6, 0, 1], [7, 6, 78, 79], [15, 7, 77, 64], [36, 7, 77, 1]], 'cm_discriminants': [], 'coarse_class': '84.8.0.b', 'coarse_class_num': 2, 'coarse_index': 8, 'coarse_label': '84.8.0.b.1', 'coarse_level': 84, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [6, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[15, 80, 53, 45], [16, 11, 67, 66], [21, 29, 71, 72], [54, 47, 77, 33]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [7, 8, 1], [12, 6, 1], [12, 18, 1], [14, 24, 1], [21, 8, 1], [21, 24, 1], [28, 48, 1], [42, 24, 1], [42, 72, 1], [84, 48, 1], [84, 144, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [7, 24, 1], [12, 12, 1], [12, 36, 1], [14, 72, 1], [21, 48, 1], [21, 144, 1], [28, 288, 1], [42, 144, 1], [42, 432, 1], [84, 576, 1], [84, 1728, 1]], 'label': '84.8.0.b.1', 'lattice_labels': None, 'lattice_x': None, 'level': 84, 'level_is_squarefree': False, 'level_radical': 42, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 2, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 2, 1], [3, 6, 1], [4, 12, 1], [6, 6, 1], [6, 18, 1], [7, 48, 1], [12, 24, 1], [12, 72, 1], [14, 144, 1], [21, 96, 1], [21, 288, 1], [28, 576, 1], [42, 288, 1], [42, 864, 1], [84, 1152, 1], [84, 3456, 1]], 'parents': ['3.4.0.a.1', '84.2.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '6.8.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.8.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 84.8.0.b.1 does not appear in modcurve_models
• domain_label 84.8.0.b.1 does not appear in modcurve_modelmaps
• curve_label 84.8.0.b.1 does not appear in modcurve_points