Modular curve data - 248.24.0-248.z.1.16

Formats: - HTML - YAML - JSON - 2024-06-12T15:55:01.441030

• 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': '8C0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 31], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 245, 23, 206], [0, 245, 187, 246], [0, 247, 131, 20], [0, 247, 193, 166], [0, 247, 193, 206], [1, 0, 8, 1], [1, 8, 0, 1], [9, 8, 240, 241], [32, 155, 93, 94], [216, 31, 217, 30], [216, 155, 93, 30]], 'cm_discriminants': [], 'coarse_class': '248.12.0.z', 'coarse_class_num': 26, 'coarse_index': 12, 'coarse_label': '248.12.0.z.1', 'coarse_level': 248, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[1, 2], [2, 1], [8, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 16, 'generators': [[122, 149, 47, 124], [125, 154, 58, 5], [183, 158, 88, 1], [246, 103, 87, 162]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1], [31, 32, 1], [62, 32, 1], [62, 64, 1], [124, 32, 2], [124, 128, 1], [248, 64, 2], [248, 256, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1], [31, 480, 1], [62, 480, 1], [62, 960, 1], [124, 960, 2], [124, 3840, 1], [248, 3840, 2], [248, 15360, 1]], 'label': '248.24.0-248.z.1.16', 'lattice_labels': None, 'lattice_x': None, 'level': 248, 'level_is_squarefree': False, 'level_radical': 62, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, '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], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1], [31, 960, 1], [62, 960, 1], [62, 1920, 1], [124, 1920, 2], [124, 7680, 1], [248, 7680, 2], [248, 30720, 1]], 'parents': ['8.12.0-4.c.1.6', '248.12.0-4.c.1.2'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '8.12.0.a.1', 'psl2level': 8, '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', '4.6.0.c.1', '4.6.0.c.1', '8.12.0-4.c.1.6'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.12.0.a.1', 'sl2level': 8, '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': '8C0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 31], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 55, 42], [0, 1, 55, 82], [0, 1, 117, 228], [0, 3, 61, 2], [0, 3, 225, 42], [1, 0, 8, 1], [1, 8, 0, 1], [9, 8, 240, 241], [32, 93, 155, 218], [32, 155, 93, 94], [32, 217, 31, 218]], 'cm_discriminants': [], 'coarse_class': '248.12.0.z', 'coarse_class_num': 26, 'coarse_index': 12, 'coarse_label': '248.12.0.z.1', 'coarse_level': 248, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[1, 2], [2, 1], [8, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[89, 2, 198, 237], [97, 212, 64, 237], [98, 17, 31, 232], [139, 172, 150, 29], [148, 245, 157, 104]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1], [31, 32, 1], [62, 32, 1], [62, 64, 1], [124, 32, 2], [124, 128, 1], [248, 64, 2], [248, 256, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1], [31, 480, 1], [62, 480, 1], [62, 960, 1], [124, 960, 2], [124, 3840, 1], [248, 3840, 2], [248, 15360, 1]], 'label': '248.12.0.z.1', 'lattice_labels': None, 'lattice_x': None, 'level': 248, 'level_is_squarefree': False, 'level_radical': 62, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, '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], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1], [31, 960, 1], [62, 960, 1], [62, 1920, 1], [124, 1920, 2], [124, 7680, 1], [248, 7680, 2], [248, 30720, 1]], 'parents': ['4.6.0.c.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '8.12.0.a.1', 'psl2level': 8, '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', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '8.12.0.a.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 248.12.0.z.1 does not appear in modcurve_models
• domain_label 248.12.0.z.1 does not appear in modcurve_modelmaps
• curve_label 248.12.0.z.1 does not appear in modcurve_points