Modular curve data - 104.96.0-104.x.1.9

Formats: - HTML - YAML - JSON - 2024-06-03T14:57:59.926085

• 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': '8O0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 4, 6, 91], [1, 4, 32, 39], [1, 8, 0, 1], [7, 4, 2, 59], [9, 8, 96, 97], [79, 0, 26, 79], [103, 0, 78, 103], [103, 100, 72, 13]], 'cm_discriminants': [], 'coarse_class': '104.48.0.x', 'coarse_class_num': 24, 'coarse_index': 48, 'coarse_label': '104.48.0.x.1', 'coarse_level': 104, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 5]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 9, 'generators': [[7, 28, 54, 17], [49, 24, 94, 37], [63, 0, 2, 37], [103, 56, 60, 99]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 2, 2], [8, 4, 2], [13, 14, 1], [26, 14, 3], [52, 14, 2], [52, 28, 2], [104, 28, 2], [104, 56, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 4, 4], [8, 8, 1], [13, 84, 1], [26, 84, 3], [52, 168, 2], [52, 336, 2], [104, 672, 4], [104, 1344, 1]], 'label': '104.96.0-104.x.1.9', 'lattice_labels': None, 'lattice_x': None, 'level': 104, 'level_is_squarefree': False, 'level_radical': 26, '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, 3], [4, 2, 2], [4, 4, 2], [8, 8, 4], [8, 16, 1], [13, 168, 1], [26, 168, 3], [52, 336, 2], [52, 672, 2], [104, 1344, 4], [104, 2688, 1]], 'parents': ['8.48.0-8.e.1.5', '104.48.0-8.e.1.6', '104.48.0-104.i.2.24', '104.48.0-104.i.2.31', '104.48.0-104.m.1.13', '104.48.0-104.m.1.14'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.b.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [1, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '4.12.0.b.1', '8.48.0-8.e.1.5'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '8.48.0.b.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': '8O0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 26, 1], [1, 4, 6, 91], [1, 4, 32, 39], [1, 4, 32, 91], [1, 8, 0, 1], [7, 4, 2, 59], [9, 8, 96, 97], [79, 0, 26, 79]], 'cm_discriminants': [], 'coarse_class': '104.48.0.x', 'coarse_class_num': 24, 'coarse_index': 48, 'coarse_label': '104.48.0.x.1', 'coarse_level': 104, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 5]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[9, 28, 74, 73], [15, 24, 90, 19], [15, 48, 20, 31], [81, 64, 2, 103], [87, 60, 70, 49]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 2, 2], [8, 4, 2], [13, 14, 1], [26, 14, 3], [52, 14, 2], [52, 28, 2], [104, 28, 2], [104, 56, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 4, 4], [8, 8, 1], [13, 84, 1], [26, 84, 3], [52, 168, 2], [52, 336, 2], [104, 672, 4], [104, 1344, 1]], 'label': '104.48.0.x.1', 'lattice_labels': None, 'lattice_x': None, 'level': 104, 'level_is_squarefree': False, 'level_radical': 26, '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, 3], [4, 2, 2], [4, 4, 2], [8, 8, 4], [8, 16, 1], [13, 168, 1], [26, 168, 3], [52, 336, 2], [52, 672, 2], [104, 1344, 4], [104, 2688, 1]], 'parents': ['8.24.0.e.1', '104.24.0.i.2', '104.24.0.m.1'], 'parents_conj': [[1, 0, 0, 1], [65, 4, 61, 83], [1, 0, 0, 1]], 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.b.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [1, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '4.12.0.b.1', '8.24.0.e.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.48.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 104.48.0.x.1 does not appear in modcurve_models
• domain_label 104.48.0.x.1 does not appear in modcurve_modelmaps
• curve_label 104.48.0.x.1 does not appear in modcurve_points