Modular curve data - 88.24.0-88.z.1.12

Formats: - HTML - YAML - JSON - 2024-06-13T00:22:48.313112

• 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': '8C0', '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, 1, 85, 12], [0, 85, 19, 62], [0, 85, 23, 54], [0, 87, 25, 54], [0, 87, 25, 78], [1, 0, 8, 1], [1, 8, 0, 1], [9, 8, 80, 81], [32, 11, 77, 54], [32, 55, 33, 54], [56, 11, 77, 78]], 'cm_discriminants': [], 'coarse_class': '88.12.0.z', 'coarse_class_num': 26, 'coarse_index': 12, 'coarse_label': '88.12.0.z.1', 'coarse_level': 88, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[1, 2], [2, 1], [8, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 12, 'generators': [[27, 56, 42, 77], [41, 16, 2, 19], [41, 86, 60, 3], [84, 79, 45, 10]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1], [11, 12, 1], [22, 12, 1], [22, 24, 1], [44, 12, 2], [44, 48, 1], [88, 24, 2], [88, 96, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1], [11, 60, 1], [22, 60, 1], [22, 120, 1], [44, 120, 2], [44, 480, 1], [88, 480, 2], [88, 1920, 1]], 'label': '88.24.0-88.z.1.12', 'lattice_labels': None, 'lattice_x': None, 'level': 88, '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, 8, 2], [8, 32, 1], [11, 120, 1], [22, 120, 1], [22, 240, 1], [44, 240, 2], [44, 960, 1], [88, 960, 2], [88, 3840, 1]], 'parents': ['8.12.0-4.c.1.6', '88.12.0-4.c.1.2'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '8.12.0.a.1', 'psl2level': 8, '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', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '8.12.0-4.c.1.6'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.12.0.a.1', 'sl2level': 8, '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': '8C0', '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, 1, 63, 10], [0, 1, 63, 34], [0, 1, 85, 12], [0, 3, 65, 34], [0, 3, 69, 26], [1, 0, 8, 1], [1, 8, 0, 1], [9, 8, 80, 81], [56, 11, 77, 78], [56, 33, 55, 34], [56, 77, 11, 34]], 'cm_discriminants': [], 'coarse_class': '88.12.0.z', 'coarse_class_num': 26, 'coarse_index': 12, 'coarse_label': '88.12.0.z.1', 'coarse_level': 88, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[1, 2], [2, 1], [8, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[6, 31, 81, 36], [14, 81, 49, 82], [24, 61, 21, 16], [49, 2, 50, 73], [67, 20, 32, 19]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1], [11, 12, 1], [22, 12, 1], [22, 24, 1], [44, 12, 2], [44, 48, 1], [88, 24, 2], [88, 96, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1], [11, 60, 1], [22, 60, 1], [22, 120, 1], [44, 120, 2], [44, 480, 1], [88, 480, 2], [88, 1920, 1]], 'label': '88.12.0.z.1', 'lattice_labels': None, 'lattice_x': None, 'level': 88, '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': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1], [11, 120, 1], [22, 120, 1], [22, 240, 1], [44, 240, 2], [44, 960, 1], [88, 960, 2], [88, 3840, 1]], 'parents': ['4.6.0.c.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '8.12.0.a.1', 'psl2level': 8, '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', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '8.12.0.a.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 88.12.0.z.1 does not appear in modcurve_models
• domain_label 88.12.0.z.1 does not appear in modcurve_modelmaps
• curve_label 88.12.0.z.1 does not appear in modcurve_points