Modular curve data - 220.240.5-220.x.1.8

Formats: - HTML - YAML - JSON - 2024-06-02T11:53:11.069246

• 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': '10A5', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5, 11], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 219, 47, 23], [0, 219, 47, 43], [0, 219, 157, 208], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 210, 211], [76, 165, 55, 131], [218, 217, 91, 42]], 'cm_discriminants': [], 'coarse_class': '220.120.5.x', 'coarse_class_num': 24, 'coarse_index': 120, 'coarse_label': '220.120.5.x.1', 'coarse_level': 220, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1], [4, 2]], 'cusp_widths': [[10, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 8, 'generators': [[39, 33, 194, 135], [195, 64, 217, 143], [209, 188, 34, 25]], 'genus': 5, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 240, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 4, 1], [10, 3, 2], [10, 12, 1], [11, 12, 1], [20, 6, 2], [20, 24, 1], [22, 36, 1], [44, 72, 1], [55, 12, 2], [55, 48, 1], [110, 36, 2], [110, 144, 1], [220, 72, 2], [220, 288, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [10, 3, 2], [10, 6, 1], [10, 12, 2], [11, 60, 1], [20, 12, 2], [20, 24, 1], [20, 48, 2], [22, 180, 1], [44, 720, 1], [55, 120, 2], [55, 240, 1], [55, 480, 2], [110, 360, 2], [110, 720, 1], [110, 1440, 2], [220, 1440, 2], [220, 2880, 1], [220, 5760, 2]], 'label': '220.240.5-220.x.1.8', 'lattice_labels': None, 'lattice_x': None, 'level': 220, 'level_is_squarefree': False, 'level_radical': 110, '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, 3, 1], [4, 12, 1], [5, 1, 4], [5, 4, 5], [10, 3, 4], [10, 12, 5], [11, 120, 1], [20, 12, 4], [20, 48, 5], [22, 360, 1], [44, 1440, 1], [55, 120, 4], [55, 480, 5], [110, 360, 4], [110, 1440, 5], [220, 1440, 4], [220, 5760, 5]], 'parents': ['5.120.0-5.a.1.2', '220.48.1-220.j.1.8', '220.48.1-220.j.2.4', '220.120.0-5.a.1.3'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 120, 'psl2label': '10.120.5.b.1', 'psl2level': 10, 'q_gonality': None, 'q_gonality_bounds': [2, 5], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 5], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '5.120.0-5.a.1.2', '5.120.0-5.a.1.2', '5.120.0-5.a.1.2', '5.120.0-5.a.1.2', '5.120.0-5.a.1.2'], 'scalar_label': '5.4.1', 'simple': False, 'sl2label': '10.120.5.b.1', 'sl2level': 10, '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': '10A5', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5, 11], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 63, 12], [0, 1, 173, 177], [0, 1, 173, 197], [1, 0, 10, 1], [1, 10, 0, 1], [2, 3, 129, 178], [11, 10, 210, 211], [144, 55, 165, 89]], 'cm_discriminants': [], 'coarse_class': '220.120.5.x', 'coarse_class_num': 24, 'coarse_index': 120, 'coarse_label': '220.120.5.x.1', 'coarse_level': 220, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1], [4, 2]], 'cusp_widths': [[10, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[33, 97, 96, 127], [129, 108, 159, 125], [166, 67, 161, 155], [206, 187, 11, 20]], 'genus': 5, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 120, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 4, 1], [10, 3, 2], [10, 12, 1], [11, 12, 1], [20, 6, 2], [20, 24, 1], [22, 36, 1], [44, 72, 1], [55, 12, 2], [55, 48, 1], [110, 36, 2], [110, 144, 1], [220, 72, 2], [220, 288, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [10, 3, 2], [10, 6, 1], [10, 12, 2], [11, 60, 1], [20, 12, 2], [20, 24, 1], [20, 48, 2], [22, 180, 1], [44, 720, 1], [55, 120, 2], [55, 240, 1], [55, 480, 2], [110, 360, 2], [110, 720, 1], [110, 1440, 2], [220, 1440, 2], [220, 2880, 1], [220, 5760, 2]], 'label': '220.120.5.x.1', 'lattice_labels': None, 'lattice_x': None, 'level': 220, 'level_is_squarefree': False, 'level_radical': 110, '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, 3, 1], [4, 12, 1], [5, 2, 2], [5, 4, 1], [5, 8, 2], [10, 6, 2], [10, 12, 1], [10, 24, 2], [11, 120, 1], [20, 24, 2], [20, 48, 1], [20, 96, 2], [22, 360, 1], [44, 1440, 1], [55, 240, 2], [55, 480, 1], [55, 960, 2], [110, 720, 2], [110, 1440, 1], [110, 2880, 2], [220, 2880, 2], [220, 5760, 1], [220, 11520, 2]], 'parents': ['5.60.0.a.1', '220.24.1.j.1', '220.24.1.j.2', '220.60.2.c.1', '220.60.3.q.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [87, 0, 132, 87], [73, 171, 0, 1], [73, 171, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 120, 'psl2label': '10.120.5.b.1', 'psl2level': 10, 'q_gonality': None, 'q_gonality_bounds': [2, 5], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 5], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '5.60.0.a.1', '5.60.0.a.1', '5.60.0.a.1', '5.60.0.a.1', '5.60.0.a.1'], 'scalar_label': '5.2.1', 'simple': False, 'sl2label': '10.120.5.b.1', 'sl2level': 10, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 220.120.5.x.1 does not appear in modcurve_models
• domain_label 220.120.5.x.1 does not appear in modcurve_modelmaps
• curve_label 220.120.5.x.1 does not appear in modcurve_points