Modular curve data - 176.288.9-88.bl.1.32

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• 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': '88B9', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 11], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 17, 5, 12], [0, 23, 65, 46], [0, 45, 43, 2], [0, 137, 171, 142], [0, 151, 129, 110], [0, 155, 109, 134], [0, 159, 105, 142], [0, 171, 93, 166], [0, 171, 141, 118], [0, 175, 89, 174], [87, 0, 0, 175], [89, 88, 88, 89], [175, 0, 88, 175], [175, 88, 0, 175]], 'cm_discriminants': [], 'coarse_class': '88.144.9.bl', 'coarse_class_num': 38, 'coarse_index': 144, 'coarse_label': '88.144.9.bl.1', 'coarse_level': 88, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 8]], 'cusp_widths': [[1, 2], [2, 1], [8, 1], [11, 2], [22, 1], [88, 1]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['11.12.1.a.1', '16.24.0-8.n.1.8'], 'fine_num': 32, 'generators': [[23, 40, 152, 175], [35, 14, 60, 165], [52, 41, 45, 48], [72, 83, 93, 150], [74, 93, 5, 74], [102, 27, 7, 122], [141, 162, 96, 119]], 'genus': 9, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 288, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [11, 1, 1], [11, 11, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [22, 1, 1], [22, 2, 1], [22, 11, 1], [22, 22, 1], [44, 1, 2], [44, 4, 1], [44, 11, 2], [44, 44, 1], [88, 1, 2], [88, 2, 1], [88, 8, 1], [88, 11, 2], [88, 22, 1], [88, 88, 1], [176, 2, 2], [176, 4, 1], [176, 16, 1], [176, 22, 2], [176, 44, 1], [176, 176, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [11, 5, 1], [11, 55, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [22, 5, 1], [22, 10, 1], [22, 55, 1], [22, 110, 1], [44, 10, 2], [44, 40, 1], [44, 110, 2], [44, 440, 1], [88, 20, 2], [88, 40, 1], [88, 160, 1], [88, 220, 2], [88, 440, 1], [88, 1760, 1], [176, 80, 2], [176, 160, 1], [176, 640, 1], [176, 880, 2], [176, 1760, 1], [176, 7040, 1]], 'label': '176.288.9-88.bl.1.32', 'lattice_labels': None, 'lattice_x': None, 'level': 176, 'level_is_squarefree': False, 'level_radical': 22, 'log_conductor': None, 'models': None, 'mults': None, '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, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [11, 10, 1], [11, 110, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [22, 10, 1], [22, 20, 1], [22, 110, 1], [22, 220, 1], [44, 20, 2], [44, 80, 1], [44, 220, 2], [44, 880, 1], [88, 40, 2], [88, 80, 1], [88, 320, 1], [88, 440, 2], [88, 880, 1], [88, 3520, 1], [176, 80, 2], [176, 160, 1], [176, 320, 1], [176, 880, 2], [176, 1280, 1], [176, 1760, 1], [176, 3520, 1], [176, 14080, 1]], 'parents': ['16.24.0-8.n.1.8'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 144, 'psl2label': '88.144.9.a.1', 'psl2level': 88, 'q_gonality': None, 'q_gonality_bounds': [4, 9], 'qbar_gonality': None, 'qbar_gonality_bounds': [4, 9], 'rank': None, 'rational_cusps': 8, 'reductions': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '11.12.1.a.1', '16.24.0-8.n.1.8', '22.36.2.a.1', '44.72.4.c.1', '88.144.9.bl.1'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '88.144.9.a.1', 'sl2level': 176, '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': '88B9', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 11], 'canonical_conjugator': [0, 1, 1, 87], 'canonical_generators': [[0, 1, 87, 2], [0, 5, 35, 58], [0, 5, 83, 10], [0, 17, 5, 12], [0, 17, 71, 34], [0, 21, 67, 42], [0, 23, 65, 46], [0, 25, 47, 66], [0, 39, 5, 34], [0, 45, 43, 2]], 'cm_discriminants': [], 'coarse_class': '88.144.9.bl', 'coarse_class_num': 38, 'coarse_index': 144, 'coarse_label': '88.144.9.bl.1', 'coarse_level': 88, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 8]], 'cusp_widths': [[1, 2], [2, 1], [8, 1], [11, 2], [22, 1], [88, 1]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['8.12.0.n.1', '11.12.1.a.1'], 'fine_num': 0, 'generators': [[1, 47, 0, 3], [17, 71, 0, 73], [27, 42, 0, 73], [51, 24, 0, 79], [59, 34, 0, 47], [71, 34, 0, 87], [79, 59, 0, 7]], 'genus': 9, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 144, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [11, 1, 1], [11, 11, 1], [22, 1, 1], [22, 2, 1], [22, 11, 1], [22, 22, 1], [44, 1, 2], [44, 4, 1], [44, 11, 2], [44, 44, 1], [88, 1, 2], [88, 2, 1], [88, 8, 1], [88, 11, 2], [88, 22, 1], [88, 88, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [11, 5, 1], [11, 55, 1], [22, 5, 1], [22, 10, 1], [22, 55, 1], [22, 110, 1], [44, 10, 2], [44, 40, 1], [44, 110, 2], [44, 440, 1], [88, 20, 2], [88, 40, 1], [88, 160, 1], [88, 220, 2], [88, 440, 1], [88, 1760, 1]], 'label': '88.144.9.bl.1', 'lattice_labels': None, 'lattice_x': None, 'level': 88, 'level_is_squarefree': False, 'level_radical': 22, 'log_conductor': None, 'models': None, 'mults': None, 'name': 'X0(88)', '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, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [11, 10, 1], [11, 110, 1], [22, 10, 1], [22, 20, 1], [22, 110, 1], [22, 220, 1], [44, 20, 2], [44, 80, 1], [44, 220, 2], [44, 880, 1], [88, 40, 2], [88, 80, 1], [88, 320, 1], [88, 440, 2], [88, 880, 1], [88, 3520, 1]], 'parents': ['8.12.0.n.1', '44.72.4.c.1'], 'parents_conj': [[61, 54, 28, 71], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 144, 'psl2label': '88.144.9.a.1', 'psl2level': 88, 'q_gonality': None, 'q_gonality_bounds': [4, 9], 'qbar_gonality': None, 'qbar_gonality_bounds': [4, 9], 'rank': None, 'rational_cusps': 8, 'reductions': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '11.12.1.a.1', '22.36.2.a.1', '44.72.4.c.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '88.144.9.a.1', 'sl2level': 88, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 88.144.9.bl.1 does not appear in modcurve_models
• domain_label 88.144.9.bl.1 does not appear in modcurve_modelmaps
• curve_label 88.144.9.bl.1 does not appear in modcurve_points