Modular curve data - 276.48.0-276.p.1.2

Formats: - HTML - YAML - JSON - 2024-06-04T06:48:52.822994

• 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': '6I0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 23], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 67, 240], [0, 1, 113, 10], [0, 1, 113, 82], [0, 1, 133, 48], [7, 6, 270, 271], [139, 230, 184, 231], [275, 0, 270, 275], [275, 270, 0, 275]], 'cm_discriminants': [], 'coarse_class': '276.24.0.p', 'coarse_class_num': 16, 'coarse_index': 24, 'coarse_label': '276.24.0.p.1', 'coarse_level': 276, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 2, 'generators': [[73, 272, 58, 165], [91, 42, 136, 149], [144, 185, 139, 164], [243, 196, 136, 159]], '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], [23, 24, 1], [46, 24, 1], [46, 48, 1], [69, 24, 1], [69, 72, 1], [92, 48, 1], [92, 96, 1], [138, 24, 1], [138, 48, 1], [138, 72, 1], [138, 144, 1], [276, 48, 1], [276, 96, 1], [276, 144, 1], [276, 288, 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], [23, 264, 1], [46, 264, 1], [46, 528, 1], [69, 528, 1], [69, 1584, 1], [92, 1056, 1], [92, 2112, 1], [138, 528, 1], [138, 1056, 1], [138, 1584, 1], [138, 3168, 1], [276, 2112, 1], [276, 4224, 1], [276, 6336, 1], [276, 12672, 1]], 'label': '276.48.0-276.p.1.2', 'lattice_labels': None, 'lattice_x': None, 'level': 276, 'level_is_squarefree': False, 'level_radical': 138, '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], [23, 528, 1], [46, 528, 1], [46, 1056, 1], [69, 1056, 1], [69, 3168, 1], [92, 2112, 1], [92, 4224, 1], [138, 1056, 1], [138, 2112, 1], [138, 3168, 1], [138, 6336, 1], [276, 4224, 1], [276, 8448, 1], [276, 12672, 1], [276, 25344, 1]], 'parents': ['12.24.0-6.a.1.6', '276.24.0-6.a.1.11'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, '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', '12.24.0-6.a.1.6'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '6.24.0.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': '6I0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 23], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 67, 240], [0, 1, 113, 10], [0, 1, 113, 82], [0, 1, 133, 48], [1, 0, 6, 1], [1, 6, 0, 1], [7, 6, 270, 271], [139, 230, 184, 231]], 'cm_discriminants': [], 'coarse_class': '276.24.0.p', 'coarse_class_num': 16, 'coarse_index': 24, 'coarse_label': '276.24.0.p.1', 'coarse_level': 276, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[4, 243, 87, 142], [27, 10, 62, 61], [27, 52, 196, 267], [90, 179, 241, 134], [220, 105, 135, 238]], '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], [23, 24, 1], [46, 24, 1], [46, 48, 1], [69, 24, 1], [69, 72, 1], [92, 48, 1], [92, 96, 1], [138, 24, 1], [138, 48, 1], [138, 72, 1], [138, 144, 1], [276, 48, 1], [276, 96, 1], [276, 144, 1], [276, 288, 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], [23, 264, 1], [46, 264, 1], [46, 528, 1], [69, 528, 1], [69, 1584, 1], [92, 1056, 1], [92, 2112, 1], [138, 528, 1], [138, 1056, 1], [138, 1584, 1], [138, 3168, 1], [276, 2112, 1], [276, 4224, 1], [276, 6336, 1], [276, 12672, 1]], 'label': '276.24.0.p.1', 'lattice_labels': None, 'lattice_x': None, 'level': 276, 'level_is_squarefree': False, 'level_radical': 138, '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], [23, 528, 1], [46, 528, 1], [46, 1056, 1], [69, 1056, 1], [69, 3168, 1], [92, 2112, 1], [92, 4224, 1], [138, 1056, 1], [138, 2112, 1], [138, 3168, 1], [138, 6336, 1], [276, 4224, 1], [276, 8448, 1], [276, 12672, 1], [276, 25344, 1]], 'parents': ['6.12.0.a.1', '276.6.0.a.1', '276.8.0.b.1'], 'parents_conj': [[1, 0, 0, 1], [73, 0, 44, 71], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, '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': '6.24.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 276.24.0.p.1 does not appear in modcurve_models
• domain_label 276.24.0.p.1 does not appear in modcurve_modelmaps
• curve_label 276.24.0.p.1 does not appear in modcurve_points