Modular curve data - 204.48.0-204.s.1.11

Formats: - HTML - YAML - JSON - 2024-06-06T10:17:42.346691

• 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': '12E0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 17], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 83, 22], [0, 1, 185, 22], [0, 199, 65, 46], [0, 203, 37, 152], [0, 203, 173, 186], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 192, 193], [84, 187, 17, 118], [120, 85, 119, 154], [120, 187, 17, 154]], 'cm_discriminants': [], 'coarse_class': '204.24.0.s', 'coarse_class_num': 19, 'coarse_index': 24, 'coarse_label': '204.24.0.s.1', 'coarse_level': 204, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [3, 2], [4, 1], [12, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 11, 'generators': [[54, 95, 193, 182], [150, 175, 187, 90], [172, 15, 3, 28], [190, 41, 37, 36]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [17, 18, 1], [34, 18, 1], [34, 36, 1], [51, 18, 1], [51, 54, 1], [68, 36, 1], [68, 72, 1], [102, 18, 1], [102, 36, 1], [102, 54, 1], [102, 108, 1], [204, 36, 1], [204, 72, 1], [204, 108, 1], [204, 216, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [17, 144, 1], [34, 144, 1], [34, 288, 1], [51, 288, 1], [51, 864, 1], [68, 576, 1], [68, 1152, 1], [102, 288, 1], [102, 576, 1], [102, 864, 1], [102, 1728, 1], [204, 1152, 1], [204, 2304, 1], [204, 3456, 1], [204, 6912, 1]], 'label': '204.48.0-204.s.1.11', 'lattice_labels': None, 'lattice_x': None, 'level': 204, 'level_is_squarefree': False, 'level_radical': 102, '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, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [17, 288, 1], [34, 288, 1], [34, 576, 1], [51, 576, 1], [51, 1728, 1], [68, 1152, 1], [68, 2304, 1], [102, 576, 1], [102, 1152, 1], [102, 1728, 1], [102, 3456, 1], [204, 2304, 1], [204, 4608, 1], [204, 6912, 1], [204, 13824, 1]], 'parents': ['12.24.0-6.a.1.6', '102.24.0-6.a.1.3'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '12.24.0.a.1', 'psl2level': 12, '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', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.6', '102.24.0-6.a.1.3'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '12.24.0.a.1', 'sl2level': 12, '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': '12E0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 17], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 31, 18], [0, 1, 83, 22], [0, 1, 167, 52], [0, 1, 185, 22], [0, 5, 139, 158], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 192, 193], [120, 17, 187, 86], [120, 85, 119, 154], [120, 187, 17, 154]], 'cm_discriminants': [], 'coarse_class': '204.24.0.s', 'coarse_class_num': 19, 'coarse_index': 24, 'coarse_label': '204.24.0.s.1', 'coarse_level': 204, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [3, 2], [4, 1], [12, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[20, 135, 171, 32], [49, 122, 174, 59], [80, 135, 105, 56], [102, 199, 103, 0], [152, 187, 203, 96]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [17, 18, 1], [34, 18, 1], [34, 36, 1], [51, 18, 1], [51, 54, 1], [68, 36, 1], [68, 72, 1], [102, 18, 1], [102, 36, 1], [102, 54, 1], [102, 108, 1], [204, 36, 1], [204, 72, 1], [204, 108, 1], [204, 216, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [17, 144, 1], [34, 144, 1], [34, 288, 1], [51, 288, 1], [51, 864, 1], [68, 576, 1], [68, 1152, 1], [102, 288, 1], [102, 576, 1], [102, 864, 1], [102, 1728, 1], [204, 1152, 1], [204, 2304, 1], [204, 3456, 1], [204, 6912, 1]], 'label': '204.24.0.s.1', 'lattice_labels': None, 'lattice_x': None, 'level': 204, 'level_is_squarefree': False, 'level_radical': 102, '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, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [17, 288, 1], [34, 288, 1], [34, 576, 1], [51, 576, 1], [51, 1728, 1], [68, 1152, 1], [68, 2304, 1], [102, 576, 1], [102, 1152, 1], [102, 1728, 1], [102, 3456, 1], [204, 2304, 1], [204, 4608, 1], [204, 6912, 1], [204, 13824, 1]], 'parents': ['6.12.0.a.1', '204.6.0.b.1'], 'parents_conj': [[1, 0, 0, 1], [25, 0, 200, 191]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '12.24.0.a.1', 'psl2level': 12, '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', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '6.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '12.24.0.a.1', 'sl2level': 12, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 204.24.0.s.1 does not appear in modcurve_models
• domain_label 204.24.0.s.1 does not appear in modcurve_modelmaps
• curve_label 204.24.0.s.1 does not appear in modcurve_points