Modular curve data - 280.24.0-140.e.1.4

Formats: - HTML - YAML - JSON - 2024-05-25T15:40:30.638527

• 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': '4E0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 4, 1], [1, 0, 70, 1], [1, 0, 140, 1], [1, 2, 48, 35], [1, 2, 68, 75], [1, 4, 3, 49], [139, 140, 140, 139], [141, 0, 0, 1], [209, 0, 210, 209], [275, 276, 144, 143], [279, 140, 0, 279], [279, 276, 0, 279], [279, 276, 186, 175], [279, 276, 265, 259]], 'cm_discriminants': [], 'coarse_class': '140.12.0.e', 'coarse_class_num': 5, 'coarse_index': 12, 'coarse_label': '140.12.0.e.1', 'coarse_level': 140, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 4, 'generators': [[123, 198, 110, 149], [141, 98, 224, 163], [173, 122, 113, 125], [215, 38, 189, 83]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [7, 8, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [14, 8, 1], [14, 16, 1], [20, 12, 1], [20, 24, 1], [28, 16, 1], [28, 32, 1], [35, 48, 1], [40, 24, 1], [40, 48, 1], [56, 32, 1], [56, 64, 1], [70, 48, 1], [70, 96, 1], [140, 96, 1], [140, 192, 1], [280, 192, 1], [280, 384, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [7, 24, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [14, 24, 1], [14, 48, 1], [20, 48, 1], [20, 96, 1], [28, 96, 1], [28, 192, 1], [35, 576, 1], [40, 192, 1], [40, 384, 1], [56, 384, 1], [56, 768, 1], [70, 576, 1], [70, 1152, 1], [140, 2304, 1], [140, 4608, 1], [280, 9216, 1], [280, 18432, 1]], 'label': '280.24.0-140.e.1.4', 'lattice_labels': None, 'lattice_x': None, 'level': 280, 'level_is_squarefree': False, 'level_radical': 70, '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], [4, 4, 1], [4, 8, 1], [5, 24, 1], [7, 48, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [14, 48, 1], [14, 96, 1], [20, 96, 1], [20, 192, 1], [28, 192, 1], [28, 384, 1], [35, 1152, 1], [40, 384, 1], [40, 768, 1], [56, 768, 1], [56, 1536, 1], [70, 1152, 1], [70, 2304, 1], [140, 4608, 1], [140, 9216, 1], [280, 18432, 1], [280, 36864, 1]], 'parents': ['40.12.0-4.b.1.3', '56.12.0-4.b.1.1'], 'parents_conj': None, 'pointless': True, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.b.1', '4.6.0.b.1', '4.6.0.b.1', '4.6.0.b.1', '40.12.0-4.b.1.3', '56.12.0-4.b.1.1', '70.6.0.a.1', '140.12.0.e.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '4.12.0.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': '4E0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 4, 1], [1, 0, 70, 1], [1, 2, 48, 35], [1, 2, 68, 75], [1, 4, 0, 1], [1, 4, 3, 49], [1, 4, 15, 21], [1, 4, 94, 105], [5, 4, 136, 137], [71, 0, 70, 71]], 'cm_discriminants': [], 'coarse_class': '140.12.0.e', 'coarse_class_num': 5, 'coarse_index': 12, 'coarse_label': '140.12.0.e.1', 'coarse_level': 140, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[41, 120, 93, 49], [43, 26, 133, 127], [93, 132, 111, 85]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [7, 8, 1], [10, 6, 1], [10, 12, 1], [14, 8, 1], [14, 16, 1], [20, 12, 1], [20, 24, 1], [28, 16, 1], [28, 32, 1], [35, 48, 1], [70, 48, 1], [70, 96, 1], [140, 96, 1], [140, 192, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [7, 24, 1], [10, 12, 1], [10, 24, 1], [14, 24, 1], [14, 48, 1], [20, 48, 1], [20, 96, 1], [28, 96, 1], [28, 192, 1], [35, 576, 1], [70, 576, 1], [70, 1152, 1], [140, 2304, 1], [140, 4608, 1]], 'label': '140.12.0.e.1', 'lattice_labels': None, 'lattice_x': None, 'level': 140, 'level_is_squarefree': False, 'level_radical': 70, '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': [0], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [7, 48, 1], [10, 24, 1], [10, 48, 1], [14, 48, 1], [14, 96, 1], [20, 96, 1], [20, 192, 1], [28, 192, 1], [28, 384, 1], [35, 1152, 1], [70, 1152, 1], [70, 2304, 1], [140, 4608, 1], [140, 9216, 1]], 'parents': ['4.6.0.b.1', '70.6.0.a.1', '140.6.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [97, 97, 94, 43], [67, 67, 114, 73]], 'pointless': True, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.b.1', '4.6.0.b.1', '4.6.0.b.1', '70.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 140.12.0.e.1 does not appear in modcurve_models
• domain_label 140.12.0.e.1 does not appear in modcurve_modelmaps
• curve_label 140.12.0.e.1 does not appear in modcurve_points