Modular curve data - 120.144.4-120.d.1.8

Formats: - HTML - YAML - JSON - 2024-06-03T03:03:22.057672

• 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': '12A4', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 2, 8, 27], [1, 2, 8, 75], [1, 2, 80, 21], [1, 2, 80, 51], [1, 12, 0, 1], [13, 12, 108, 109], [61, 80, 80, 101], [61, 100, 100, 101], [69, 20, 40, 69], [119, 104, 102, 25], [119, 112, 100, 9]], 'cm_discriminants': [], 'coarse_class': '120.72.4.d', 'coarse_class_num': 4, 'coarse_index': 72, 'coarse_label': '120.72.4.d.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[12, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 8, 'generators': [[17, 86, 114, 31], [61, 32, 44, 77], [81, 8, 88, 63], [83, 114, 48, 47], [89, 110, 108, 109]], 'genus': 4, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 144, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 6, 1], [6, 4, 3], [8, 4, 3], [10, 6, 3], [12, 8, 3], [15, 24, 1], [20, 12, 3], [24, 16, 3], [30, 24, 3], [40, 24, 3], [60, 48, 3], [120, 96, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 12, 1], [6, 4, 3], [8, 8, 3], [10, 12, 3], [12, 16, 3], [15, 96, 1], [20, 48, 3], [24, 64, 3], [30, 96, 3], [40, 192, 3], [60, 384, 3], [120, 1536, 3]], 'label': '120.144.4-120.d.1.8', 'lattice_labels': None, 'lattice_x': None, 'level': 120, 'level_is_squarefree': False, 'level_radical': 30, '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, 3], [3, 8, 1], [4, 4, 3], [5, 24, 1], [6, 8, 3], [8, 16, 3], [10, 24, 3], [12, 32, 3], [15, 192, 1], [20, 96, 3], [24, 128, 3], [30, 192, 3], [40, 384, 3], [60, 768, 3], [120, 3072, 3]], 'parents': ['24.72.2-24.a.1.12', '60.72.2-60.b.1.6', '120.48.0-40.d.1.3', '120.72.2-24.a.1.1', '120.72.2-60.b.1.13', '120.72.2-120.b.1.5', '120.72.2-120.b.1.30'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 72, 'psl2label': '12.72.4.a.1', 'psl2level': 12, 'q_gonality': None, 'q_gonality_bounds': [2, 6], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 4], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '3.3.0.a.1', '3.3.0.a.1', '6.18.1.a.1', '6.18.1.a.1', '8.12.0.a.1', '12.36.1-6.a.1.2', '20.12.0.b.1', '24.72.2-24.a.1.12', '40.24.0.d.1', '60.72.2-60.b.1.6'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '12.72.4.a.1', 'sl2level': 12, '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': '12A4', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 2, 8, 27], [1, 2, 8, 75], [1, 2, 80, 21], [1, 2, 80, 51], [1, 8, 20, 111], [1, 12, 0, 1], [1, 16, 18, 95], [13, 12, 108, 109], [51, 100, 80, 51], [61, 80, 80, 101], [61, 100, 100, 101]], 'cm_discriminants': [], 'coarse_class': '120.72.4.d', 'coarse_class_num': 4, 'coarse_index': 72, 'coarse_label': '120.72.4.d.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[12, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['3.3.0.a.1', '40.24.0.d.1'], 'fine_num': 0, 'generators': [[45, 104, 64, 69], [53, 74, 54, 13], [55, 76, 96, 23], [85, 12, 72, 115], [89, 12, 18, 71], [91, 36, 108, 37]], 'genus': 4, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 72, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 6, 1], [6, 4, 3], [8, 4, 3], [10, 6, 3], [12, 8, 3], [15, 24, 1], [20, 12, 3], [24, 16, 3], [30, 24, 3], [40, 24, 3], [60, 48, 3], [120, 96, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 12, 1], [6, 4, 3], [8, 8, 3], [10, 12, 3], [12, 16, 3], [15, 96, 1], [20, 48, 3], [24, 64, 3], [30, 96, 3], [40, 192, 3], [60, 384, 3], [120, 1536, 3]], 'label': '120.72.4.d.1', 'lattice_labels': None, 'lattice_x': None, 'level': 120, 'level_is_squarefree': False, 'level_radical': 30, '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, 3], [3, 8, 1], [4, 4, 3], [5, 24, 1], [6, 8, 3], [8, 16, 3], [10, 24, 3], [12, 32, 3], [15, 192, 1], [20, 96, 3], [24, 128, 3], [30, 192, 3], [40, 384, 3], [60, 768, 3], [120, 3072, 3]], 'parents': ['24.36.2.a.1', '40.24.0.d.1', '60.36.2.b.1', '120.36.2.b.1'], 'parents_conj': [[18, 31, 5, 102], [1, 0, 0, 1], [1, 0, 0, 1], [18, 31, 65, 87]], 'pointless': None, 'power': None, 'psl2index': 72, 'psl2label': '12.72.4.a.1', 'psl2level': 12, 'q_gonality': None, 'q_gonality_bounds': [2, 6], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 4], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '3.3.0.a.1', '3.3.0.a.1', '6.18.1.a.1', '6.18.1.a.1', '6.18.1.a.1', '8.12.0.a.1', '20.12.0.b.1', '24.36.2.a.1', '40.24.0.d.1', '60.36.2.b.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '12.72.4.a.1', 'sl2level': 12, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 120.72.4.d.1 does not appear in modcurve_models
• domain_label 120.72.4.d.1 does not appear in modcurve_modelmaps
• curve_label 120.72.4.d.1 does not appear in modcurve_points