Modular curve data - 60.192.1-60.f.4.3

Formats: - HTML - YAML - JSON - 2024-06-11T00:22:48.678501

• 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': '12V1', 'Glabel': None, 'RSZBlabel': '60.192.1.282', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [21, 41, 13, 24], 'canonical_generators': [[1, 0, 12, 1], [1, 0, 50, 1], [1, 6, 8, 35], [1, 12, 0, 1], [1, 12, 38, 25], [7, 12, 2, 49], [11, 6, 32, 29], [13, 12, 48, 49], [49, 0, 10, 49], [55, 48, 52, 49]], 'cm_discriminants': [], 'coarse_class': '60.96.1.f', 'coarse_class_num': 6, 'coarse_index': 96, 'coarse_label': '60.96.1.f.4', 'coarse_level': 60, 'coarse_num': 4, 'conductor': [[2, 3], [3, 1], [5, 2]], 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 3], [4, 2]], 'cusp_widths': [[2, 4], [4, 4], [6, 4], [12, 4]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 3, 'generators': [[13, 22, 24, 13], [23, 48, 54, 35], [25, 54, 24, 43], [43, 8, 36, 53]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 192, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [5, 6, 1], [6, 1, 3], [6, 3, 3], [10, 6, 3], [12, 2, 3], [12, 6, 3], [15, 6, 1], [15, 18, 1], [20, 12, 3], [30, 6, 3], [30, 18, 3], [60, 12, 3], [60, 36, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [5, 12, 1], [6, 1, 3], [6, 3, 3], [10, 12, 3], [12, 4, 3], [12, 6, 2], [12, 12, 2], [15, 24, 1], [15, 72, 1], [20, 48, 3], [30, 24, 3], [30, 72, 3], [60, 96, 3], [60, 144, 2], [60, 288, 2]], 'label': '60.192.1-60.f.4.3', 'lattice_labels': None, 'lattice_x': None, 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': {'__RealLiteral__': 0, 'data': '6.39692965521614636885', 'prec': 74}, 'models': None, 'mults': [1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 0, 'obstructions': None, 'orbits': [[2, 1, 3], [3, 2, 1], [3, 6, 1], [4, 4, 3], [5, 24, 1], [6, 2, 3], [6, 6, 3], [10, 24, 3], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 24, 2], [15, 48, 1], [15, 144, 1], [20, 96, 3], [30, 48, 3], [30, 144, 3], [60, 96, 2], [60, 192, 2], [60, 288, 2], [60, 576, 2]], 'parents': ['12.96.0-12.a.2.9', '60.96.0-12.a.2.8', '60.96.0-60.a.1.14', '60.96.0-60.a.1.26', '60.96.1-60.b.1.3', '60.96.1-60.b.1.17'], 'parents_conj': None, 'pointless': False, 'power': True, 'psl2index': 96, 'psl2label': '12.96.1.a.1', 'psl2level': 12, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.96.0-12.a.2.9', '15.8.0-3.a.1.2', '20.12.0.b.1', '30.48.0-6.a.1.1'], 'scalar_label': '12.4.1', 'simple': True, 'sl2label': '12.192.1-12.a.1.1', 'sl2level': 12, 'squarefree': True, 'trace_hash': 229566738491683071, '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': '12V1', 'Glabel': None, 'RSZBlabel': '60.96.1.63', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [49, 23, 35, 6], 'canonical_generators': [[1, 0, 12, 1], [1, 0, 50, 1], [1, 6, 8, 35], [1, 12, 0, 1], [1, 12, 38, 25], [5, 12, 8, 11], [7, 12, 2, 49], [11, 0, 50, 11], [11, 6, 32, 29], [13, 12, 48, 49]], 'cm_discriminants': [], 'coarse_class': '60.96.1.f', 'coarse_class_num': 6, 'coarse_index': 96, 'coarse_label': '60.96.1.f.4', 'coarse_level': 60, 'coarse_num': 4, 'conductor': [[2, 3], [3, 1], [5, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 3], [4, 2]], 'cusp_widths': [[2, 4], [4, 4], [6, 4], [12, 4]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[7, 58, 54, 17], [11, 14, 24, 5], [13, 2, 54, 55], [19, 52, 42, 59], [29, 2, 24, 13]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [5, 6, 1], [6, 1, 3], [6, 3, 3], [10, 6, 3], [12, 2, 3], [12, 6, 3], [15, 6, 1], [15, 18, 1], [20, 12, 3], [30, 6, 3], [30, 18, 3], [60, 12, 3], [60, 36, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [5, 12, 1], [6, 1, 3], [6, 3, 3], [10, 12, 3], [12, 4, 3], [12, 6, 2], [12, 12, 2], [15, 24, 1], [15, 72, 1], [20, 48, 3], [30, 24, 3], [30, 72, 3], [60, 96, 3], [60, 144, 2], [60, 288, 2]], 'label': '60.96.1.f.4', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '6.12.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '20.6.0.c.1', '20.6.0.d.1', '20.12.0.b.1', '60.24.0.q.1', '60.24.1.x.1', '60.48.0.a.1', '60.48.1.b.1', '60.96.1.f.4'], 'lattice_x': [3162, 3162, 5758, 4190, 951, 1928, 5013, 3728, 5013, 7172, 9023, 8098, 6478, 9306, 3162, 6864, 5013], 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': {'__RealLiteral__': 0, 'data': '6.39692965521614636885', 'prec': 74}, 'models': None, 'mults': [1], 'name': None, 'newforms': ['600.2.a.h'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 0, 'obstructions': [], 'orbits': [[2, 1, 3], [3, 2, 1], [3, 6, 1], [4, 4, 3], [5, 24, 1], [6, 2, 3], [6, 6, 3], [10, 24, 3], [12, 8, 3], [12, 12, 2], [12, 24, 2], [15, 48, 1], [15, 144, 1], [20, 96, 3], [30, 48, 3], [30, 144, 3], [60, 192, 3], [60, 288, 2], [60, 576, 2]], 'parents': ['12.48.0.a.2', '60.48.0.a.1', '60.48.1.b.1'], 'parents_conj': [[58, 47, 39, 44], [1, 0, 0, 1], [59, 43, 3, 40]], 'pointless': False, 'power': True, 'psl2index': 96, 'psl2label': '12.96.1.a.1', 'psl2level': 12, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '20.12.0.b.1'], 'scalar_label': '12.2.1', 'simple': True, 'sl2label': '12.96.1.a.1', 'sl2level': 12, 'squarefree': True, 'trace_hash': 229566738491683071, 'traces': [0, 1, 0, 0, 4, 2, -2, -4, 8, 6, 8, -6, -6, -4, 0, 2, 4, -2, 4, 8, -10, -8, 4, -6, -2, -18, -16, 12, -2, -18, 8, -4, 6, -12, 14, -16, 2, -12, -24, -6, 12, 6, 0, -2, 18, 16, -20, 8, -12, 22, -10, -16, 18, 20, -2, 8, -10, 8, 26, 26, 28, 18, -12, -24, 6, -6, 20, -18, 12, 30, -2, -24, 8, 10, 20, 0, -2, -14, -30, -6, 12, -10, 32, 14, 0, -20, -14, 22, -26, -8, 36, -16, 32, -12, 12, -24, 6, 26, -4, -18, -44, 26, -28, 10, 36, -2, 44, 14, 24, -38, 40, -38, -42, -44, 16, -14, -12, -8, -6, 12, -10, -34, 2, -4, -4, 6, -10, -32, -48, -14, -4, 8, 24, -38, -22, 2, 18, -28, -22, 26, 4, 30, 16, 28, -50, -24, 10, -42, -12, 32, 18, 50, 4, -8, -4, 16, 16, 50, -42, 6, -12, 54, 16, 36, 30, 24, 40, 26]}
• modcurve 60.96.1.f.4 does not appear in modcurve_models
• domain_label 60.96.1.f.4 does not appear in modcurve_modelmaps
• curve_label 60.96.1.f.4 does not appear in modcurve_points