Modular curve data - 120.240.8-120.f.1.14

Formats: - HTML - YAML - JSON - 2024-06-01T08:35:12.089673

• 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': '20A8', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 20, 1], [1, 8, 34, 69], [1, 20, 0, 1], [21, 20, 100, 101], [61, 48, 48, 85], [61, 84, 96, 85], [77, 72, 24, 77], [119, 112, 82, 105], [119, 116, 104, 45], [119, 118, 24, 101], [119, 118, 104, 21]], 'cm_discriminants': [], 'coarse_class': '120.120.8.f', 'coarse_class_num': 6, 'coarse_index': 120, 'coarse_label': '120.120.8.f.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[20, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['5.5.0.a.1', '24.48.0-24.f.1.2'], 'fine_num': 14, 'generators': [[27, 34, 80, 113], [83, 110, 44, 1], [91, 114, 10, 97], [95, 16, 78, 25]], 'genus': 8, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 240, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 6, 1], [6, 4, 3], [8, 4, 3], [10, 6, 3], [12, 8, 3], [15, 24, 1], [20, 12, 3], [24, 16, 3], [30, 24, 3], [40, 24, 3], [60, 48, 3], [120, 96, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 12, 1], [6, 4, 3], [8, 8, 3], [10, 12, 3], [12, 16, 3], [15, 96, 1], [20, 48, 3], [24, 64, 3], [30, 96, 3], [40, 192, 3], [60, 384, 3], [120, 1536, 3]], 'label': '120.240.8-120.f.1.14', 'lattice_labels': None, 'lattice_x': None, 'level': 120, 'level_is_squarefree': False, 'level_radical': 30, '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, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [5, 24, 1], [6, 8, 3], [8, 8, 2], [8, 16, 2], [10, 24, 3], [12, 16, 2], [12, 32, 2], [15, 192, 1], [20, 48, 2], [20, 96, 2], [24, 64, 2], [24, 128, 2], [30, 192, 3], [40, 192, 2], [40, 384, 2], [60, 384, 2], [60, 768, 2], [120, 1536, 2], [120, 3072, 2]], 'parents': ['24.48.0-24.f.1.2', '40.120.4-40.b.1.8', '60.120.4-60.a.1.1', '120.120.4-40.b.1.4', '120.120.4-60.a.1.6', '120.120.4-120.b.1.4', '120.120.4-120.b.1.14'], 'parents_conj': None, 'pointless': True, 'power': None, 'psl2index': 120, 'psl2label': '20.120.8.a.1', 'psl2level': 20, 'q_gonality': None, 'q_gonality_bounds': [3, 14], 'qbar_gonality': None, 'qbar_gonality_bounds': [3, 8], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0-2.a.1.1', '5.5.0.a.1', '5.5.0.a.1', '8.24.0-8.b.1.1', '10.30.2.a.1', '10.30.2.a.1', '12.24.0-12.a.1.2', '20.60.2-10.a.1.1', '24.48.0-24.f.1.2', '40.120.4-40.b.1.8', '60.120.4-60.a.1.1'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '20.120.8.a.1', 'sl2level': 20, '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': '20A8', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 20, 1], [1, 2, 16, 99], [1, 2, 96, 19], [1, 4, 16, 75], [1, 8, 34, 69], [1, 8, 38, 15], [1, 20, 0, 1], [21, 20, 100, 101], [43, 48, 96, 43], [61, 48, 48, 85], [61, 84, 96, 85]], 'cm_discriminants': [], 'coarse_class': '120.120.8.f', 'coarse_class_num': 6, 'coarse_index': 120, 'coarse_label': '120.120.8.f.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[20, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['5.5.0.a.1', '24.24.0.f.1'], 'fine_num': 0, 'generators': [[1, 104, 18, 61], [33, 46, 68, 27], [35, 96, 98, 95], [41, 60, 30, 31], [117, 76, 10, 11]], 'genus': 8, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 120, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 6, 1], [6, 4, 3], [8, 4, 3], [10, 6, 3], [12, 8, 3], [15, 24, 1], [20, 12, 3], [24, 16, 3], [30, 24, 3], [40, 24, 3], [60, 48, 3], [120, 96, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 12, 1], [6, 4, 3], [8, 8, 3], [10, 12, 3], [12, 16, 3], [15, 96, 1], [20, 48, 3], [24, 64, 3], [30, 96, 3], [40, 192, 3], [60, 384, 3], [120, 1536, 3]], 'label': '120.120.8.f.1', 'lattice_labels': None, 'lattice_x': None, 'level': 120, 'level_is_squarefree': False, 'level_radical': 30, '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': [7], 'orbits': [[2, 1, 3], [3, 8, 1], [4, 4, 3], [5, 24, 1], [6, 8, 3], [8, 16, 3], [10, 24, 3], [12, 32, 3], [15, 192, 1], [20, 96, 3], [24, 128, 3], [30, 192, 3], [40, 384, 3], [60, 768, 3], [120, 3072, 3]], 'parents': ['24.24.0.f.1', '40.60.4.b.1', '60.60.4.a.1', '120.60.4.b.1'], 'parents_conj': [[1, 0, 0, 1], [97, 23, 0, 1], [56, 29, 85, 108], [92, 13, 105, 11]], 'pointless': True, 'power': None, 'psl2index': 120, 'psl2label': '20.120.8.a.1', 'psl2level': 20, 'q_gonality': None, 'q_gonality_bounds': [3, 14], 'qbar_gonality': None, 'qbar_gonality_bounds': [3, 8], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '5.5.0.a.1', '5.5.0.a.1', '8.12.0.b.1', '10.30.2.a.1', '10.30.2.a.1', '10.30.2.a.1', '12.12.0.a.1', '24.24.0.f.1', '40.60.4.b.1', '60.60.4.a.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '20.120.8.a.1', 'sl2level': 20, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 120.120.8.f.1 does not appear in modcurve_models
• domain_label 120.120.8.f.1 does not appear in modcurve_modelmaps
• curve_label 120.120.8.f.1 does not appear in modcurve_points