Modular curve data - 232.192.1-232.w.1.1

Formats: - HTML - YAML - JSON - 2024-06-02T07:58:47.189157

• 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': '8K1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 29], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 116, 1], [1, 4, 44, 91], [1, 8, 0, 1], [1, 8, 80, 149], [1, 8, 80, 207], [9, 8, 224, 225], [57, 0, 116, 57], [225, 228, 120, 147]], 'cm_discriminants': [], 'coarse_class': '232.96.1.w', 'coarse_class_num': 23, 'coarse_index': 96, 'coarse_label': '232.96.1.w.1', 'coarse_level': 232, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[4, 8], [8, 8]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 1, 'generators': [[17, 228, 12, 109], [33, 100, 164, 31], [113, 52, 120, 17], [121, 228, 136, 159]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 192, 'isogeny_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1], [8, 2, 4], [8, 4, 1], [29, 30, 1], [58, 30, 3], [116, 30, 4], [116, 60, 1], [232, 60, 4], [232, 120, 1]], 'kummer_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1], [8, 2, 4], [8, 4, 2], [8, 8, 1], [29, 420, 1], [58, 420, 3], [116, 840, 4], [116, 1680, 1], [232, 1680, 4], [232, 3360, 2], [232, 6720, 1]], 'label': '232.192.1-232.w.1.1', 'lattice_labels': None, 'lattice_x': None, 'level': 232, 'level_is_squarefree': False, 'level_radical': 58, 'log_conductor': None, 'models': None, 'mults': [1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 4], [8, 2, 8], [8, 8, 4], [29, 840, 1], [58, 840, 3], [116, 840, 4], [116, 1680, 4], [232, 1680, 8], [232, 6720, 4]], 'parents': ['8.96.0-8.c.1.1', '232.96.0-8.c.1.6', '232.96.0-232.b.1.11', '232.96.0-232.b.1.17', '232.96.0-232.s.1.1', '232.96.0-232.s.1.12', '232.96.0-232.t.1.1', '232.96.0-232.t.1.12', '232.96.1-232.n.2.1', '232.96.1-232.n.2.2', '232.96.1-232.bi.2.14', '232.96.1-232.bi.2.15', '232.96.1-232.bj.2.5', '232.96.1-232.bj.2.16'], 'parents_conj': None, 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '8.96.1.a.1', 'psl2level': 8, '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', '2.6.0.a.1', '2.6.0.a.1', '4.48.0-4.b.1.1', '4.48.0-4.b.1.1', '8.96.0-8.c.1.1'], 'scalar_label': '8.4.1', 'simple': True, 'sl2label': '8.96.1.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': '8K1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 29], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 116, 1], [1, 4, 44, 91], [1, 8, 0, 1], [1, 8, 80, 149], [1, 8, 80, 207], [7, 4, 112, 85], [9, 8, 224, 225], [175, 0, 116, 175]], 'cm_discriminants': [], 'coarse_class': '232.96.1.w', 'coarse_class_num': 23, 'coarse_index': 96, 'coarse_label': '232.96.1.w.1', 'coarse_level': 232, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[4, 8], [8, 8]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[105, 28, 76, 47], [113, 4, 192, 59], [145, 176, 164, 43], [193, 220, 92, 11], [199, 120, 176, 169]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1], [8, 2, 4], [8, 4, 1], [29, 30, 1], [58, 30, 3], [116, 30, 4], [116, 60, 1], [232, 60, 4], [232, 120, 1]], 'kummer_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1], [8, 2, 4], [8, 4, 2], [8, 8, 1], [29, 420, 1], [58, 420, 3], [116, 840, 4], [116, 1680, 1], [232, 1680, 4], [232, 3360, 2], [232, 6720, 1]], 'label': '232.96.1.w.1', 'lattice_labels': None, 'lattice_x': None, 'level': 232, 'level_is_squarefree': False, 'level_radical': 58, 'log_conductor': None, 'models': None, 'mults': [1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 4], [4, 4, 1], [8, 4, 4], [8, 8, 2], [8, 16, 1], [29, 840, 1], [58, 840, 3], [116, 1680, 4], [116, 3360, 1], [232, 3360, 4], [232, 6720, 2], [232, 13440, 1]], 'parents': ['8.48.0.c.1', '232.48.0.b.1', '232.48.0.s.1', '232.48.0.t.1', '232.48.1.n.2', '232.48.1.bi.2', '232.48.1.bj.2'], 'parents_conj': [[175, 58, 58, 175], [223, 203, 43, 92], [1, 0, 0, 1], [175, 58, 58, 175], [1, 0, 0, 1], [1, 0, 0, 1], [92, 203, 203, 92]], 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '8.96.1.a.1', 'psl2level': 8, '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', '2.6.0.a.1', '2.6.0.a.1', '4.24.0.b.1', '4.24.0.b.1', '8.48.0.c.1'], 'scalar_label': '8.2.2', 'simple': True, 'sl2label': '8.96.1.a.1', 'sl2level': 8, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 232.96.1.w.1 does not appear in modcurve_models
• domain_label 232.96.1.w.1 does not appear in modcurve_modelmaps
• curve_label 232.96.1.w.1 does not appear in modcurve_points