Modular curve data - 248.384.14-124.c.1.23

Formats: - HTML - YAML - JSON - 2024-06-11T22:10:00.041784

• 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': '124A14', '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, 11, 73, 62], [0, 21, 41, 104], [0, 185, 187, 246], [0, 187, 185, 126], [0, 203, 237, 214], [0, 207, 165, 166], [0, 227, 145, 206], [0, 247, 125, 246], [125, 0, 0, 1], [125, 124, 124, 125], [247, 0, 124, 247], [247, 124, 0, 247]], 'cm_discriminants': [], 'coarse_class': '124.192.14.c', 'coarse_class_num': 3, 'coarse_index': 192, 'coarse_label': '124.192.14.c.1', 'coarse_level': 124, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 6]], 'cusp_widths': [[1, 2], [4, 1], [31, 2], [124, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['8.12.0-4.c.1.6', '31.32.2.a.1'], 'fine_num': 23, 'generators': [[46, 65, 117, 118], [94, 83, 227, 74], [95, 190, 16, 21], [160, 5, 81, 208], [174, 19, 3, 66], [196, 79, 123, 152]], 'genus': 14, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 384, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1], [31, 1, 1], [31, 31, 1], [62, 1, 1], [62, 2, 1], [62, 31, 1], [62, 62, 1], [124, 1, 2], [124, 4, 1], [124, 31, 2], [124, 124, 1], [248, 2, 2], [248, 8, 1], [248, 62, 2], [248, 248, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1], [31, 15, 1], [31, 465, 1], [62, 15, 1], [62, 30, 1], [62, 465, 1], [62, 930, 1], [124, 30, 2], [124, 120, 1], [124, 930, 2], [124, 3720, 1], [248, 120, 2], [248, 480, 1], [248, 3720, 2], [248, 14880, 1]], 'label': '248.384.14-124.c.1.23', '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, 30, 1], [31, 930, 1], [62, 30, 1], [62, 60, 1], [62, 930, 1], [62, 1860, 1], [124, 60, 2], [124, 240, 1], [124, 1860, 2], [124, 7440, 1], [248, 240, 2], [248, 960, 1], [248, 7440, 2], [248, 29760, 1]], 'parents': ['8.12.0-4.c.1.6'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 192, 'psl2label': '124.192.14.a.1', 'psl2level': 124, 'q_gonality': None, 'q_gonality_bounds': [4, 14], 'qbar_gonality': None, 'qbar_gonality_bounds': [4, 14], 'rank': None, 'rational_cusps': 6, 'reductions': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.6', '31.32.2.a.1', '62.96.7.a.1', '124.192.14.c.1'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '124.192.14.a.1', 'sl2level': 248, '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': '124A14', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 31], 'canonical_conjugator': [0, 1, 1, 123], 'canonical_generators': [[0, 1, 123, 2], [0, 11, 73, 62], [0, 21, 41, 104], [0, 21, 103, 42], [0, 41, 83, 82], [0, 45, 11, 34], [0, 61, 63, 122], [0, 63, 61, 2]], 'cm_discriminants': [], 'coarse_class': '124.192.14.c', 'coarse_class_num': 3, 'coarse_index': 192, 'coarse_label': '124.192.14.c.1', 'coarse_level': 124, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 6]], 'cusp_widths': [[1, 2], [4, 1], [31, 2], [124, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['4.6.0.c.1', '31.32.2.a.1'], 'fine_num': 0, 'generators': [[3, 78, 0, 121], [73, 116, 0, 9], [75, 57, 0, 67], [87, 112, 0, 95], [119, 96, 0, 77]], 'genus': 14, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 192, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [31, 1, 1], [31, 31, 1], [62, 1, 1], [62, 2, 1], [62, 31, 1], [62, 62, 1], [124, 1, 2], [124, 4, 1], [124, 31, 2], [124, 124, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [31, 15, 1], [31, 465, 1], [62, 15, 1], [62, 30, 1], [62, 465, 1], [62, 930, 1], [124, 30, 2], [124, 120, 1], [124, 930, 2], [124, 3720, 1]], 'label': '124.192.14.c.1', 'lattice_labels': None, 'lattice_x': None, 'level': 124, 'level_is_squarefree': False, 'level_radical': 62, 'log_conductor': None, 'models': None, 'mults': None, 'name': 'X0(124)', '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], [31, 30, 1], [31, 930, 1], [62, 30, 1], [62, 60, 1], [62, 930, 1], [62, 1860, 1], [124, 60, 2], [124, 240, 1], [124, 1860, 2], [124, 7440, 1]], 'parents': ['4.6.0.c.1', '62.96.7.a.1'], 'parents_conj': [[31, 16, 2, 123], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 192, 'psl2label': '124.192.14.a.1', 'psl2level': 124, 'q_gonality': None, 'q_gonality_bounds': [4, 14], 'qbar_gonality': None, 'qbar_gonality_bounds': [4, 14], 'rank': None, 'rational_cusps': 6, 'reductions': ['2.3.0.a.1', '4.6.0.c.1', '31.32.2.a.1', '62.96.7.a.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '124.192.14.a.1', 'sl2level': 124, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 124.192.14.c.1 does not appear in modcurve_models
• domain_label 124.192.14.c.1 does not appear in modcurve_modelmaps
• curve_label 124.192.14.c.1 does not appear in modcurve_points