Modular curve data - 264.96.0-264.o.1.23

Formats: - HTML - YAML - JSON - 2024-05-23T15:29:14.006368

• 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': '12I0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 11], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 2, 48, 209], [1, 2, 72, 179], [1, 12, 0, 1], [13, 12, 252, 253], [89, 220, 242, 177], [111, 242, 154, 155], [263, 22, 44, 87], [263, 256, 230, 99], [263, 262, 8, 255], [263, 262, 128, 231], [263, 262, 194, 165]], 'cm_discriminants': [], 'coarse_class': '264.48.0.o', 'coarse_class_num': 15, 'coarse_index': 48, 'coarse_label': '264.48.0.o.1', 'coarse_level': 264, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 4]], 'cusp_widths': [[2, 4], [4, 1], [6, 4], [12, 1]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 23, 'generators': [[9, 218, 154, 23], [67, 68, 174, 197], [149, 124, 242, 225], [151, 186, 126, 175], [215, 54, 128, 79], [245, 214, 146, 249]], 'genus': 0, '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], [8, 4, 3], [11, 12, 1], [12, 2, 3], [12, 6, 3], [22, 12, 3], [24, 4, 3], [24, 12, 3], [33, 12, 1], [33, 36, 1], [44, 24, 3], [66, 12, 3], [66, 36, 3], [88, 48, 3], [132, 24, 3], [132, 72, 3], [264, 48, 3], [264, 144, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 8, 3], [11, 60, 1], [12, 4, 3], [12, 12, 3], [22, 60, 3], [24, 16, 3], [24, 48, 3], [33, 120, 1], [33, 360, 1], [44, 240, 3], [66, 120, 3], [66, 360, 3], [88, 960, 3], [132, 480, 3], [132, 1440, 3], [264, 1920, 3], [264, 5760, 3]], 'label': '264.96.0-264.o.1.23', 'lattice_labels': None, 'lattice_x': None, 'level': 264, 'level_is_squarefree': False, 'level_radical': 66, '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, 3, 2], [4, 4, 3], [6, 2, 3], [6, 3, 6], [8, 16, 3], [11, 120, 1], [12, 8, 3], [12, 12, 6], [22, 120, 3], [24, 32, 3], [24, 48, 6], [33, 240, 1], [33, 360, 2], [44, 480, 3], [66, 240, 3], [66, 360, 6], [88, 1920, 3], [132, 960, 3], [132, 1440, 6], [264, 3840, 3], [264, 5760, 6]], 'parents': ['6.48.0-6.a.1.2', '264.48.0-6.a.1.2'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 48, 'psl2label': '12.48.0.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', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '3.8.0-3.a.1.1', '3.8.0-3.a.1.1', '6.48.0-6.a.1.2', '6.48.0-6.a.1.2', '6.48.0-6.a.1.2', '6.48.0-6.a.1.2', '6.48.0-6.a.1.2'], 'scalar_label': '12.4.1', 'simple': None, 'sl2label': '12.48.0.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': '12I0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 11], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 2, 48, 209], [1, 2, 70, 99], [1, 2, 72, 179], [1, 2, 136, 33], [1, 2, 256, 9], [1, 8, 34, 165], [1, 12, 0, 1], [1, 242, 220, 177], [13, 12, 252, 253], [89, 220, 242, 177], [111, 242, 154, 155]], 'cm_discriminants': [], 'coarse_class': '264.48.0.o', 'coarse_class_num': 15, 'coarse_index': 48, 'coarse_label': '264.48.0.o.1', 'coarse_level': 264, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 4]], 'cusp_widths': [[2, 4], [4, 1], [6, 4], [12, 1]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[49, 60, 72, 7], [75, 38, 226, 245], [113, 174, 162, 203], [131, 54, 140, 7], [135, 158, 200, 117], [149, 30, 216, 251], [175, 96, 58, 89]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 4, 3], [11, 12, 1], [12, 2, 3], [12, 6, 3], [22, 12, 3], [24, 4, 3], [24, 12, 3], [33, 12, 1], [33, 36, 1], [44, 24, 3], [66, 12, 3], [66, 36, 3], [88, 48, 3], [132, 24, 3], [132, 72, 3], [264, 48, 3], [264, 144, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 8, 3], [11, 60, 1], [12, 4, 3], [12, 12, 3], [22, 60, 3], [24, 16, 3], [24, 48, 3], [33, 120, 1], [33, 360, 1], [44, 240, 3], [66, 120, 3], [66, 360, 3], [88, 960, 3], [132, 480, 3], [132, 1440, 3], [264, 1920, 3], [264, 5760, 3]], 'label': '264.48.0.o.1', 'lattice_labels': None, 'lattice_x': None, 'level': 264, 'level_is_squarefree': False, 'level_radical': 66, '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], [8, 16, 3], [11, 120, 1], [12, 8, 3], [12, 24, 3], [22, 120, 3], [24, 32, 3], [24, 96, 3], [33, 240, 1], [33, 720, 1], [44, 480, 3], [66, 240, 3], [66, 720, 3], [88, 1920, 3], [132, 960, 3], [132, 2880, 3], [264, 3840, 3], [264, 11520, 3]], 'parents': ['6.24.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 48, 'psl2label': '12.48.0.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', '2.6.0.a.1', '2.6.0.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', '6.24.0.a.1', '6.24.0.a.1', '6.24.0.a.1'], 'scalar_label': '12.2.1', 'simple': None, 'sl2label': '12.48.0.a.1', 'sl2level': 12, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 264.48.0.o.1 does not appear in modcurve_models
• domain_label 264.48.0.o.1 does not appear in modcurve_modelmaps
• curve_label 264.48.0.o.1 does not appear in modcurve_points