Modular curve data - 312.192.1-312.nr.1.7

Formats: - HTML - YAML - JSON - 2024-06-01T07:19:57.845039

• 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': '8K1', '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, 156, 1], [1, 4, 16, 3], [1, 4, 40, 267], [1, 4, 88, 147], [1, 8, 0, 1], [7, 4, 142, 219], [9, 8, 304, 305], [233, 0, 156, 233], [305, 308, 258, 19], [309, 308, 308, 11]], 'cm_discriminants': [], 'coarse_class': '312.96.1.nr', 'coarse_class_num': 356, 'coarse_index': 96, 'coarse_label': '312.96.1.nr.1', 'coarse_level': 312, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 2], [4, 3]], 'cusp_widths': [[4, 8], [8, 8]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 7, 'generators': [[75, 76, 142, 291], [103, 60, 134, 227], [259, 72, 16, 49], [307, 32, 22, 249]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 192, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [13, 14, 1], [24, 8, 2], [24, 16, 2], [26, 14, 3], [39, 56, 1], [52, 14, 2], [52, 28, 2], [78, 56, 3], [104, 28, 2], [104, 56, 2], [156, 56, 2], [156, 112, 2], [312, 112, 2], [312, 224, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [13, 84, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [26, 84, 3], [39, 672, 1], [52, 168, 2], [52, 336, 2], [78, 672, 3], [104, 336, 2], [104, 672, 1], [104, 1344, 2], [156, 1344, 2], [156, 2688, 2], [312, 2688, 2], [312, 5376, 1], [312, 10752, 2]], 'label': '312.192.1-312.nr.1.7', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, 'log_conductor': None, 'models': None, 'mults': [1], '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, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 2, 4], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [13, 168, 1], [24, 16, 4], [24, 64, 1], [24, 128, 2], [26, 168, 3], [39, 1344, 1], [52, 336, 2], [52, 672, 2], [78, 1344, 3], [104, 336, 4], [104, 1344, 1], [104, 2688, 2], [156, 2688, 2], [156, 5376, 2], [312, 2688, 4], [312, 10752, 1], [312, 21504, 2]], 'parents': ['24.96.0-24.w.2.1', '104.96.1-104.be.1.2', '312.96.0-24.w.2.11', '312.96.0-312.bd.2.12', '312.96.0-312.bd.2.22', '312.96.0-312.bg.1.16', '312.96.0-312.bg.1.18', '312.96.0-312.cs.1.4', '312.96.0-312.cs.1.18', '312.96.1-104.be.1.1', '312.96.1-312.dn.2.17', '312.96.1-312.dn.2.25', '312.96.1-312.fd.1.1', '312.96.1-312.fd.1.16'], 'parents_conj': None, 'pointless': True, 'power': True, 'psl2index': 96, 'psl2label': '8.96.1.a.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [2, 96], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.2.6', '12.24.0-4.b.1.3', '24.96.0-24.w.2.1', '52.24.0-4.b.1.2', '104.96.1-104.be.1.2', '156.48.0-156.c.1.8'], 'scalar_label': '8.4.1', 'simple': True, 'sl2label': '8.96.1.a.1', 'sl2level': 8, 'squarefree': True, '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': '8K1', '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, 156, 1], [1, 4, 16, 3], [1, 4, 40, 267], [1, 4, 88, 147], [1, 8, 0, 1], [3, 4, 4, 301], [7, 4, 54, 293], [7, 4, 142, 219], [9, 8, 304, 305], [79, 0, 156, 79]], 'cm_discriminants': [], 'coarse_class': '312.96.1.nr', 'coarse_class_num': 356, 'coarse_index': 96, 'coarse_label': '312.96.1.nr.1', 'coarse_level': 312, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2], [4, 3]], 'cusp_widths': [[4, 8], [8, 8]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[31, 76, 98, 283], [65, 116, 288, 109], [85, 284, 80, 51], [249, 104, 202, 113], [253, 156, 20, 53]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [13, 14, 1], [24, 8, 2], [24, 16, 2], [26, 14, 3], [39, 56, 1], [52, 14, 2], [52, 28, 2], [78, 56, 3], [104, 28, 2], [104, 56, 2], [156, 56, 2], [156, 112, 2], [312, 112, 2], [312, 224, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [13, 84, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [26, 84, 3], [39, 672, 1], [52, 168, 2], [52, 336, 2], [78, 672, 3], [104, 336, 2], [104, 672, 1], [104, 1344, 2], [156, 1344, 2], [156, 2688, 2], [312, 2688, 2], [312, 5376, 1], [312, 10752, 2]], 'label': '312.96.1.nr.1', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, 'log_conductor': None, 'models': None, 'mults': [1], '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': [0], 'orbits': [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [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, 3], [39, 1344, 1], [52, 336, 2], [52, 672, 2], [78, 1344, 3], [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': ['24.48.0.w.2', '104.48.1.be.1', '312.48.0.bd.2', '312.48.0.bg.1', '312.48.0.cs.1', '312.48.1.dn.2', '312.48.1.fd.1'], 'parents_conj': [[1, 0, 0, 1], [271, 271, 117, 184], [235, 234, 0, 1], [109, 109, 39, 112], [263, 234, 0, 29], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': True, 'psl2index': 96, 'psl2label': '8.96.1.a.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [2, 96], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '4.12.0.b.1', '4.12.0.b.1', '8.24.0.e.2', '24.48.0.w.2', '104.48.1.be.1', '156.24.0.c.1'], 'scalar_label': '8.2.2', 'simple': True, 'sl2label': '8.96.1.a.1', 'sl2level': 8, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 312.96.1.nr.1 does not appear in modcurve_models
• domain_label 312.96.1.nr.1 does not appear in modcurve_modelmaps
• curve_label 312.96.1.nr.1 does not appear in modcurve_points