Modular curve data - 140.144.3-140.cu.2.15

Formats: - HTML - YAML - JSON - 2024-06-12T13:30:00.711738

• 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': '20G3', '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': [[0, 9, 27, 92], [0, 139, 51, 118], [0, 139, 101, 118], [0, 139, 121, 8], [0, 139, 121, 48], [1, 0, 20, 1], [1, 20, 0, 1], [20, 119, 21, 48], [21, 20, 120, 121], [118, 91, 49, 90], [120, 49, 91, 8]], 'cm_discriminants': [], 'coarse_class': '140.72.3.cu', 'coarse_class_num': 73, 'coarse_index': 72, 'coarse_label': '140.72.3.cu.2', 'coarse_level': 140, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[2, 2], [4, 2], [10, 2], [20, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 15, 'generators': [[44, 115, 115, 94], [73, 138, 34, 67], [88, 51, 35, 134], [101, 40, 22, 119]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 144, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [7, 8, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [14, 8, 1], [14, 16, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [28, 16, 1], [28, 32, 1], [35, 8, 1], [35, 40, 1], [70, 8, 1], [70, 16, 1], [70, 40, 1], [70, 80, 1], [140, 16, 1], [140, 32, 1], [140, 80, 1], [140, 160, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [7, 24, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1], [14, 24, 1], [14, 48, 1], [20, 4, 2], [20, 8, 2], [20, 40, 1], [20, 80, 1], [28, 96, 1], [28, 192, 1], [35, 48, 2], [35, 480, 1], [70, 48, 2], [70, 96, 2], [70, 480, 1], [70, 960, 1], [140, 192, 2], [140, 384, 2], [140, 1920, 1], [140, 3840, 1]], 'label': '140.144.3-140.cu.2.15', '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': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [7, 48, 1], [10, 2, 6], [10, 20, 1], [10, 40, 1], [14, 48, 1], [14, 96, 1], [20, 8, 6], [20, 80, 1], [20, 160, 1], [28, 192, 1], [28, 384, 1], [35, 96, 2], [35, 960, 1], [70, 96, 6], [70, 960, 1], [70, 1920, 1], [140, 384, 6], [140, 3840, 1], [140, 7680, 1]], 'parents': ['10.72.0-10.a.2.4', '140.72.0-10.a.2.5'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 72, 'psl2label': '20.72.3.d.1', 'psl2level': 20, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, 'rational_cusps': 4, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '5.12.0.a.1', '5.12.0.a.1', '10.72.0-10.a.2.4', '10.72.0-10.a.2.4', '10.72.0-10.a.2.4', '28.6.0.d.1'], 'scalar_label': '5.4.1', 'simple': False, 'sl2label': '20.72.3.d.1', 'sl2level': 20, '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': '20G3', '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': [[0, 1, 19, 92], [0, 1, 19, 132], [0, 1, 39, 22], [0, 1, 89, 22], [0, 9, 27, 92], [1, 0, 20, 1], [1, 20, 0, 1], [21, 20, 120, 121], [22, 49, 91, 50], [120, 21, 119, 92], [120, 49, 91, 8]], 'cm_discriminants': [], 'coarse_class': '140.72.3.cu', 'coarse_class_num': 73, 'coarse_index': 72, 'coarse_label': '140.72.3.cu.2', 'coarse_level': 140, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[2, 2], [4, 2], [10, 2], [20, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['5.12.0.a.1', '28.6.0.d.1'], 'fine_num': 0, 'generators': [[26, 35, 59, 102], [34, 57, 21, 40], [37, 44, 124, 77], [39, 50, 2, 77], [135, 116, 16, 45]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [7, 8, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [14, 8, 1], [14, 16, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [28, 16, 1], [28, 32, 1], [35, 8, 1], [35, 40, 1], [70, 8, 1], [70, 16, 1], [70, 40, 1], [70, 80, 1], [140, 16, 1], [140, 32, 1], [140, 80, 1], [140, 160, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [7, 24, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1], [14, 24, 1], [14, 48, 1], [20, 4, 2], [20, 8, 2], [20, 40, 1], [20, 80, 1], [28, 96, 1], [28, 192, 1], [35, 48, 2], [35, 480, 1], [70, 48, 2], [70, 96, 2], [70, 480, 1], [70, 960, 1], [140, 192, 2], [140, 384, 2], [140, 1920, 1], [140, 3840, 1]], 'label': '140.72.3.cu.2', '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': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [7, 48, 1], [10, 2, 2], [10, 4, 2], [10, 20, 1], [10, 40, 1], [14, 48, 1], [14, 96, 1], [20, 8, 2], [20, 16, 2], [20, 80, 1], [20, 160, 1], [28, 192, 1], [28, 384, 1], [35, 96, 2], [35, 960, 1], [70, 96, 2], [70, 192, 2], [70, 960, 1], [70, 1920, 1], [140, 384, 2], [140, 768, 2], [140, 3840, 1], [140, 7680, 1]], 'parents': ['10.36.0.a.2', '140.36.1.i.1', '140.36.2.b.2'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 72, 'psl2label': '20.72.3.d.1', 'psl2level': 20, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, 'rational_cusps': 4, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '5.12.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '10.36.0.a.2', '10.36.0.a.2', '28.6.0.d.1'], 'scalar_label': '5.2.1', 'simple': False, 'sl2label': '20.72.3.d.1', 'sl2level': 20, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 140.72.3.cu.2 does not appear in modcurve_models
• domain_label 140.72.3.cu.2 does not appear in modcurve_modelmaps
• curve_label 140.72.3.cu.2 does not appear in modcurve_points