Modular curve data - 228.192.1-228.f.2.16

Formats: - HTML - YAML - JSON - 2024-06-11T10:33:46.359359

• 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': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 19], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 12, 0, 1], [11, 6, 70, 47], [13, 12, 216, 217], [191, 0, 38, 191], [217, 222, 196, 67], [227, 0, 190, 227], [227, 222, 184, 19], [227, 222, 184, 133]], 'cm_discriminants': [], 'coarse_class': '228.96.1.f', 'coarse_class_num': 6, 'coarse_index': 96, 'coarse_label': '228.96.1.f.2', 'coarse_level': 228, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[2, 4], [4, 4], [6, 4], [12, 4]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 16, 'generators': [[83, 78, 48, 97], [119, 54, 80, 19], [131, 216, 184, 49], [179, 186, 118, 137]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 192, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [12, 2, 3], [12, 6, 3], [19, 20, 1], [38, 20, 3], [57, 20, 1], [57, 60, 1], [76, 40, 3], [114, 20, 3], [114, 60, 3], [228, 40, 3], [228, 120, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [12, 4, 3], [12, 6, 2], [12, 12, 2], [19, 180, 1], [38, 180, 3], [57, 360, 1], [57, 1080, 1], [76, 720, 3], [114, 360, 3], [114, 1080, 3], [228, 1440, 3], [228, 2160, 2], [228, 4320, 2]], 'label': '228.192.1-228.f.2.16', 'lattice_labels': None, 'lattice_x': None, 'level': 228, 'level_is_squarefree': False, 'level_radical': 114, '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, 2, 1], [3, 6, 1], [4, 4, 3], [6, 2, 3], [6, 6, 3], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 24, 2], [19, 360, 1], [38, 360, 3], [57, 720, 1], [57, 2160, 1], [76, 1440, 3], [114, 720, 3], [114, 2160, 3], [228, 1440, 2], [228, 2880, 2], [228, 4320, 2], [228, 8640, 2]], 'parents': ['12.96.0-12.a.2.9', '228.96.0-12.a.2.8', '228.96.0-228.a.1.27', '228.96.0-228.a.1.30', '228.96.1-228.b.1.10', '228.96.1-228.b.1.15'], 'parents_conj': None, 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '12.96.1.a.1', 'psl2level': 12, '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', '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', '12.96.0-12.a.2.9', '76.12.0.b.1'], 'scalar_label': '12.4.1', 'simple': True, 'sl2label': '12.96.1.a.1', 'sl2level': 12, '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': '12V1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 19], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 0, 38, 1], [1, 6, 44, 95], [1, 6, 44, 209], [1, 12, 0, 1], [11, 6, 32, 161], [11, 6, 70, 47], [13, 12, 216, 217], [191, 0, 38, 191]], 'cm_discriminants': [], 'coarse_class': '228.96.1.f', 'coarse_class_num': 6, 'coarse_index': 96, 'coarse_label': '228.96.1.f.2', 'coarse_level': 228, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[2, 4], [4, 4], [6, 4], [12, 4]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[11, 54, 12, 119], [37, 120, 184, 187], [49, 60, 182, 133], [97, 204, 96, 167], [145, 102, 76, 161]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [12, 2, 3], [12, 6, 3], [19, 20, 1], [38, 20, 3], [57, 20, 1], [57, 60, 1], [76, 40, 3], [114, 20, 3], [114, 60, 3], [228, 40, 3], [228, 120, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [12, 4, 3], [12, 6, 2], [12, 12, 2], [19, 180, 1], [38, 180, 3], [57, 360, 1], [57, 1080, 1], [76, 720, 3], [114, 360, 3], [114, 1080, 3], [228, 1440, 3], [228, 2160, 2], [228, 4320, 2]], 'label': '228.96.1.f.2', 'lattice_labels': None, 'lattice_x': None, 'level': 228, 'level_is_squarefree': False, 'level_radical': 114, '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': [], 'orbits': [[2, 1, 3], [3, 2, 1], [3, 6, 1], [4, 4, 3], [6, 2, 3], [6, 6, 3], [12, 8, 3], [12, 12, 2], [12, 24, 2], [19, 360, 1], [38, 360, 3], [57, 720, 1], [57, 2160, 1], [76, 1440, 3], [114, 720, 3], [114, 2160, 3], [228, 2880, 3], [228, 4320, 2], [228, 8640, 2]], 'parents': ['12.48.0.a.2', '228.48.0.a.1', '228.48.1.b.1'], 'parents_conj': [[67, 68, 27, 169], [1, 0, 0, 1], [49, 19, 19, 182]], 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '12.96.1.a.1', 'psl2level': 12, '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', '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', '76.12.0.b.1'], 'scalar_label': '12.2.1', 'simple': True, 'sl2label': '12.96.1.a.1', 'sl2level': 12, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 228.96.1.f.2 does not appear in modcurve_models
• domain_label 228.96.1.f.2 does not appear in modcurve_modelmaps
• curve_label 228.96.1.f.2 does not appear in modcurve_points