Modular curve data - 312.24.0-312.z.1.6

Formats: - HTML - YAML - JSON - 2024-05-20T19:54:23.440170

• 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, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 205, 304], [0, 1, 271, 66], [0, 7, 241, 18], [0, 7, 241, 138], [0, 7, 265, 186], [0, 311, 29, 294], [1, 0, 8, 1], [1, 8, 0, 1], [9, 8, 304, 305], [40, 195, 117, 118], [272, 39, 273, 38], [272, 195, 117, 38]], 'cm_discriminants': [], 'coarse_class': '312.12.0.z', 'coarse_class_num': 26, 'coarse_index': 12, 'coarse_label': '312.12.0.z.1', 'coarse_level': 312, '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': 6, 'generators': [[10, 193, 207, 100], [187, 232, 132, 47], [193, 240, 116, 109], [201, 58, 40, 103], [277, 188, 132, 233]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 24, 'isogeny_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, 8, 1], [12, 4, 2], [12, 16, 1], [13, 14, 1], [24, 8, 2], [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, 28, 2], [104, 112, 1], [156, 56, 2], [156, 224, 1], [312, 112, 2], [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, 4, 2], [8, 16, 1], [12, 8, 2], [12, 32, 1], [13, 84, 1], [24, 32, 2], [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, 672, 2], [104, 2688, 1], [156, 1344, 2], [156, 5376, 1], [312, 5376, 2], [312, 21504, 1]], 'label': '312.24.0-312.z.1.6', '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, 8, 1], [6, 8, 1], [6, 16, 1], [8, 8, 2], [8, 32, 1], [12, 16, 2], [12, 64, 1], [13, 168, 1], [24, 64, 2], [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, 1344, 2], [104, 5376, 1], [156, 2688, 2], [156, 10752, 1], [312, 10752, 2], [312, 43008, 1]], 'parents': ['24.12.0-4.c.1.5', '52.12.0-4.c.1.1'], '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', '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', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '24.12.0-4.c.1.5', '52.12.0-4.c.1.1', '52.12.0-4.c.1.1', '52.12.0-4.c.1.1'], '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, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 205, 304], [0, 1, 271, 66], [0, 1, 283, 18], [0, 7, 241, 18], [0, 7, 241, 138], [0, 7, 265, 186], [1, 0, 8, 1], [1, 8, 0, 1], [9, 8, 304, 305], [40, 117, 195, 274], [40, 195, 117, 118], [40, 273, 39, 274]], 'cm_discriminants': [], 'coarse_class': '312.12.0.z', 'coarse_class_num': 26, 'coarse_index': 12, 'coarse_label': '312.12.0.z.1', 'coarse_level': 312, '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': [[35, 282, 150, 283], [52, 107, 217, 54], [74, 275, 67, 258], [210, 127, 161, 28], [288, 71, 275, 168], [310, 303, 307, 118]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 12, 'isogeny_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, 8, 1], [12, 4, 2], [12, 16, 1], [13, 14, 1], [24, 8, 2], [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, 28, 2], [104, 112, 1], [156, 56, 2], [156, 224, 1], [312, 112, 2], [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, 4, 2], [8, 16, 1], [12, 8, 2], [12, 32, 1], [13, 84, 1], [24, 32, 2], [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, 672, 2], [104, 2688, 1], [156, 1344, 2], [156, 5376, 1], [312, 5376, 2], [312, 21504, 1]], 'label': '312.12.0.z.1', '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, 8, 2], [8, 32, 1], [12, 16, 2], [12, 64, 1], [13, 168, 1], [24, 64, 2], [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, 1344, 2], [104, 5376, 1], [156, 2688, 2], [156, 10752, 1], [312, 10752, 2], [312, 43008, 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', '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', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.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 312.12.0.z.1 does not appear in modcurve_models
• domain_label 312.12.0.z.1 does not appear in modcurve_modelmaps
• curve_label 312.12.0.z.1 does not appear in modcurve_points