Modular curve data - 204.192.3-204.r.2.6

Formats: - HTML - YAML - JSON - 2024-06-12T04:47:06.350912

• 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': '12L3', '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': [[1, 0, 12, 1], [1, 2, 52, 21], [1, 6, 76, 119], [1, 12, 0, 1], [1, 170, 136, 69], [3, 2, 172, 53], [13, 12, 192, 193], [33, 34, 68, 169], [201, 200, 202, 155], [203, 202, 152, 81]], 'cm_discriminants': [], 'coarse_class': '204.96.3.r', 'coarse_class_num': 18, 'coarse_index': 96, 'coarse_label': '204.96.3.r.2', 'coarse_level': 204, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 5]], 'cusp_widths': [[4, 6], [12, 6]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 6, 'generators': [[29, 40, 14, 159], [37, 74, 82, 87], [119, 138, 50, 145], [131, 108, 162, 131]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, '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], [17, 18, 1], [34, 18, 3], [51, 18, 1], [51, 54, 1], [68, 36, 3], [102, 18, 3], [102, 54, 3], [204, 36, 3], [204, 108, 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], [17, 144, 1], [34, 144, 3], [51, 288, 1], [51, 864, 1], [68, 576, 3], [102, 288, 3], [102, 864, 3], [204, 1152, 3], [204, 1728, 2], [204, 3456, 2]], 'label': '204.192.3-204.r.2.6', '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, 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], [17, 288, 1], [34, 288, 3], [51, 576, 1], [51, 1728, 1], [68, 1152, 3], [102, 576, 3], [102, 1728, 3], [204, 1152, 2], [204, 2304, 2], [204, 3456, 2], [204, 6912, 2]], 'parents': ['12.96.0-12.a.2.9', '204.96.0-12.a.2.11', '204.96.1-204.d.1.3', '204.96.1-204.d.1.4', '204.96.2-204.a.2.5', '204.96.2-204.a.2.8'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 96, 'psl2label': '12.96.3.b.1', 'psl2level': 12, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, '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', '12.96.0-12.a.2.9', '68.12.0-2.a.1.1'], 'scalar_label': '12.4.1', 'simple': False, 'sl2label': '12.96.3.b.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': '12L3', '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': [[1, 0, 12, 1], [1, 2, 52, 21], [1, 2, 52, 123], [1, 6, 76, 119], [1, 12, 0, 1], [1, 170, 136, 69], [3, 2, 172, 53], [3, 4, 2, 49], [13, 12, 192, 193], [171, 170, 136, 35]], 'cm_discriminants': [], 'coarse_class': '204.96.3.r', 'coarse_class_num': 18, 'coarse_index': 96, 'coarse_label': '204.96.3.r.2', 'coarse_level': 204, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 5]], 'cusp_widths': [[4, 6], [12, 6]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[27, 14, 136, 125], [83, 108, 42, 107], [105, 122, 68, 189], [121, 78, 160, 47], [153, 158, 74, 63]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, '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], [17, 18, 1], [34, 18, 3], [51, 18, 1], [51, 54, 1], [68, 36, 3], [102, 18, 3], [102, 54, 3], [204, 36, 3], [204, 108, 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], [17, 144, 1], [34, 144, 3], [51, 288, 1], [51, 864, 1], [68, 576, 3], [102, 288, 3], [102, 864, 3], [204, 1152, 3], [204, 1728, 2], [204, 3456, 2]], 'label': '204.96.3.r.2', '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, 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], [17, 288, 1], [34, 288, 3], [51, 576, 1], [51, 1728, 1], [68, 1152, 3], [102, 576, 3], [102, 1728, 3], [204, 2304, 3], [204, 3456, 2], [204, 6912, 2]], 'parents': ['12.48.0.a.2', '204.48.1.d.1', '204.48.2.a.2'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [145, 153, 153, 94]], 'pointless': False, 'power': None, 'psl2index': 96, 'psl2label': '12.96.3.b.1', 'psl2level': 12, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, 'rational_cusps': 2, 'reductions': ['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', '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'], 'scalar_label': '12.2.1', 'simple': False, 'sl2label': '12.96.3.b.1', 'sl2level': 12, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 204.96.3.r.2 does not appear in modcurve_models
• domain_label 204.96.3.r.2 does not appear in modcurve_modelmaps
• curve_label 204.96.3.r.2 does not appear in modcurve_points