Modular curve data - 328.96.0-328.x.1.13

Formats: - HTML - YAML - JSON - 2024-06-11T09:54:35.063363

• 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, 41], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 4, 40, 207], [1, 4, 122, 43], [1, 8, 0, 1], [7, 4, 94, 283], [9, 8, 320, 321], [247, 0, 82, 247], [327, 0, 246, 327], [327, 324, 288, 285]], 'cm_discriminants': [], 'coarse_class': '328.48.0.x', 'coarse_class_num': 24, 'coarse_index': 48, 'coarse_label': '328.48.0.x.1', 'coarse_level': 328, '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': 13, 'generators': [[9, 240, 34, 7], [31, 60, 154, 43], [143, 108, 192, 87], [279, 208, 140, 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], [41, 42, 1], [82, 42, 3], [164, 42, 2], [164, 84, 2], [328, 84, 2], [328, 168, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 4, 4], [8, 8, 1], [41, 840, 1], [82, 840, 3], [164, 1680, 2], [164, 3360, 2], [328, 6720, 4], [328, 13440, 1]], 'label': '328.96.0-328.x.1.13', 'lattice_labels': None, 'lattice_x': None, 'level': 328, 'level_is_squarefree': False, 'level_radical': 82, '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], [41, 1680, 1], [82, 1680, 3], [164, 3360, 2], [164, 6720, 2], [328, 13440, 4], [328, 26880, 1]], 'parents': ['8.48.0-8.e.1.5', '328.48.0-8.e.1.6', '328.48.0-328.i.2.24', '328.48.0-328.i.2.31', '328.48.0-328.m.1.16', '328.48.0-328.m.1.19'], '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, 41], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 82, 1], [1, 4, 40, 43], [1, 4, 40, 207], [1, 4, 122, 43], [1, 8, 0, 1], [7, 4, 94, 283], [9, 8, 320, 321], [247, 0, 82, 247]], 'cm_discriminants': [], 'coarse_class': '328.48.0.x', 'coarse_class_num': 24, 'coarse_index': 48, 'coarse_label': '328.48.0.x.1', 'coarse_level': 328, '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': [[135, 296, 38, 117], [143, 8, 240, 63], [153, 244, 82, 323], [201, 116, 266, 5], [249, 124, 228, 301]], '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], [41, 42, 1], [82, 42, 3], [164, 42, 2], [164, 84, 2], [328, 84, 2], [328, 168, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 4, 4], [8, 8, 1], [41, 840, 1], [82, 840, 3], [164, 1680, 2], [164, 3360, 2], [328, 6720, 4], [328, 13440, 1]], 'label': '328.48.0.x.1', 'lattice_labels': None, 'lattice_x': None, 'level': 328, 'level_is_squarefree': False, 'level_radical': 82, '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], [41, 1680, 1], [82, 1680, 3], [164, 3360, 2], [164, 6720, 2], [328, 13440, 4], [328, 26880, 1]], 'parents': ['8.24.0.e.1', '328.24.0.i.2', '328.24.0.m.1'], 'parents_conj': [[1, 0, 0, 1], [153, 68, 241, 31], [237, 284, 57, 319]], '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 328.48.0.x.1 does not appear in modcurve_models
• domain_label 328.48.0.x.1 does not appear in modcurve_modelmaps
• curve_label 328.48.0.x.1 does not appear in modcurve_points