Modular curve data - 312.96.0-312.ed.2.13

Formats: - HTML - YAML - JSON - 2024-06-02T05:19:01.500671

• 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, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 234, 1], [1, 8, 0, 1], [3, 8, 41, 145], [7, 8, 45, 11], [9, 8, 304, 305], [233, 0, 78, 233], [311, 304, 255, 295], [311, 304, 257, 39], [311, 304, 279, 175], [311, 304, 291, 127]], 'cm_discriminants': [], 'coarse_class': '312.48.0.ed', 'coarse_class_num': 108, 'coarse_index': 48, 'coarse_label': '312.48.0.ed.2', 'coarse_level': 312, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3], [4, 1]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 13, 'generators': [[23, 280, 1, 27], [137, 240, 274, 145], [149, 96, 106, 167], [261, 32, 250, 131]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [13, 14, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [26, 14, 1], [26, 28, 1], [39, 56, 1], [52, 14, 2], [52, 56, 1], [78, 56, 1], [78, 112, 1], [104, 14, 2], [104, 28, 1], [104, 112, 1], [156, 56, 2], [156, 224, 1], [312, 56, 2], [312, 112, 1], [312, 448, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [13, 84, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [26, 84, 1], [26, 168, 1], [39, 672, 1], [52, 168, 2], [52, 672, 1], [78, 672, 1], [78, 1344, 1], [104, 336, 2], [104, 672, 1], [104, 2688, 1], [156, 1344, 2], [156, 5376, 1], [312, 2688, 2], [312, 5376, 1], [312, 21504, 1]], 'label': '312.96.0-312.ed.2.13', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, '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], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [13, 168, 1], [24, 32, 2], [24, 64, 1], [24, 128, 2], [26, 168, 1], [26, 336, 1], [39, 1344, 1], [52, 336, 2], [52, 672, 2], [78, 1344, 1], [78, 2688, 1], [104, 672, 2], [104, 1344, 1], [104, 2688, 2], [156, 2688, 2], [156, 5376, 2], [312, 5376, 2], [312, 10752, 1], [312, 21504, 2]], 'parents': ['8.48.0-8.ba.2.3', '312.48.0-8.ba.2.6', '312.48.0-312.dd.1.16', '312.48.0-312.dd.1.23', '312.48.0-312.ei.2.6', '312.48.0-312.ei.2.21'], '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', '1.1.0.a.1', '1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.12.0-4.c.1.2', '4.12.0-4.c.1.2', '4.12.0-4.c.1.2', '8.48.0-8.ba.2.3', '8.48.0-8.ba.2.3', '8.48.0-8.ba.2.3', '78.6.0.a.1', '156.24.0-156.g.1.1'], '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, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 234, 1], [1, 8, 0, 1], [1, 8, 21, 185], [1, 8, 33, 137], [1, 8, 55, 273], [1, 8, 57, 17], [3, 8, 41, 145], [7, 8, 45, 11], [9, 8, 304, 305], [79, 0, 234, 79]], 'cm_discriminants': [], 'coarse_class': '312.48.0.ed', 'coarse_class_num': 108, 'coarse_index': 48, 'coarse_label': '312.48.0.ed.2', 'coarse_level': 312, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3], [4, 1]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[149, 176, 141, 287], [157, 104, 148, 271], [207, 152, 100, 123], [209, 56, 107, 85], [229, 0, 143, 47]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [13, 14, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [26, 14, 1], [26, 28, 1], [39, 56, 1], [52, 14, 2], [52, 56, 1], [78, 56, 1], [78, 112, 1], [104, 14, 2], [104, 28, 1], [104, 112, 1], [156, 56, 2], [156, 224, 1], [312, 56, 2], [312, 112, 1], [312, 448, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [13, 84, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [26, 84, 1], [26, 168, 1], [39, 672, 1], [52, 168, 2], [52, 672, 1], [78, 672, 1], [78, 1344, 1], [104, 336, 2], [104, 672, 1], [104, 2688, 1], [156, 1344, 2], [156, 5376, 1], [312, 2688, 2], [312, 5376, 1], [312, 21504, 1]], 'label': '312.48.0.ed.2', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, '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], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [13, 168, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [26, 168, 1], [26, 336, 1], [39, 1344, 1], [52, 336, 2], [52, 1344, 1], [78, 1344, 1], [78, 2688, 1], [104, 672, 2], [104, 1344, 1], [104, 5376, 1], [156, 2688, 2], [156, 10752, 1], [312, 5376, 2], [312, 10752, 1], [312, 43008, 1]], 'parents': ['8.24.0.ba.2', '312.24.0.dd.1', '312.24.0.ei.2'], 'parents_conj': [[1, 0, 0, 1], [1, 156, 0, 1], [90, 181, 301, 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', '1.1.0.a.1', '1.1.0.a.1', '2.3.0.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', '8.24.0.ba.2', '8.24.0.ba.2', '8.24.0.ba.2', '78.6.0.a.1', '156.12.0.g.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.48.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 312.48.0.ed.2 does not appear in modcurve_models
• domain_label 312.48.0.ed.2 does not appear in modcurve_modelmaps
• curve_label 312.48.0.ed.2 does not appear in modcurve_points