Modular curve data - 120.240.7-120.di.1.17

Formats: - HTML - YAML - JSON - 2024-05-25T01:33:28.907235

• 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': '40G7', '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': [[0, 1, 71, 10], [0, 1, 71, 50], [0, 11, 29, 66], [0, 113, 43, 110], [1, 0, 40, 1], [1, 40, 0, 1], [2, 7, 63, 34], [2, 17, 63, 64], [40, 9, 111, 34], [40, 21, 99, 106], [40, 81, 39, 106], [40, 93, 3, 10], [41, 40, 80, 81], [80, 69, 51, 74]], 'cm_discriminants': [], 'coarse_class': '120.120.7.di', 'coarse_class_num': 87, 'coarse_index': 120, 'coarse_label': '120.120.7.di.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 2], [4, 1]], 'cusp_widths': [[5, 4], [10, 2], [40, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['5.10.0.a.1', '24.24.0-24.ba.1.12'], 'fine_num': 17, 'generators': [[11, 84, 96, 115], [14, 117, 73, 86], [15, 16, 86, 45], [62, 75, 45, 92], [74, 41, 5, 106], [116, 53, 109, 44]], 'genus': 7, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 240, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [20, 6, 2], [20, 24, 1], [24, 8, 2], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 12, 2], [40, 48, 1], [60, 24, 2], [60, 96, 1], [120, 48, 2], [120, 192, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [20, 24, 2], [20, 96, 1], [24, 32, 2], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 96, 2], [40, 384, 1], [60, 192, 2], [60, 768, 1], [120, 768, 2], [120, 3072, 1]], 'label': '120.240.7-120.di.1.17', '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, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [20, 48, 2], [20, 192, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [60, 384, 2], [60, 1536, 1], [120, 768, 2], [120, 1536, 1], [120, 6144, 1]], 'parents': ['24.24.0-24.ba.1.12', '40.120.3-20.c.1.1', '60.120.3-20.c.1.2'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 120, 'psl2label': '40.120.7.b.1', 'psl2level': 40, 'q_gonality': None, 'q_gonality_bounds': [3, 12], 'qbar_gonality': None, 'qbar_gonality_bounds': [3, 7], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '5.10.0.a.1', '5.10.0.a.1', '8.12.0-4.c.1.5', '10.30.1.a.1', '10.30.1.a.1', '12.12.0-4.c.1.1', '20.60.3.c.1', '24.24.0-24.ba.1.12', '40.120.3-20.c.1.1', '60.120.3-20.c.1.2'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '40.120.7.b.1', 'sl2level': 40, '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': '40G7', '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': [[0, 1, 71, 10], [0, 1, 71, 50], [0, 7, 77, 10], [0, 11, 29, 66], [1, 0, 40, 1], [1, 40, 0, 1], [2, 7, 63, 34], [2, 17, 63, 64], [40, 9, 111, 34], [40, 21, 99, 106], [40, 51, 69, 46], [40, 81, 39, 106], [40, 93, 3, 10], [41, 40, 80, 81]], 'cm_discriminants': [], 'coarse_class': '120.120.7.di', 'coarse_class_num': 87, 'coarse_index': 120, 'coarse_label': '120.120.7.di.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2], [4, 1]], 'cusp_widths': [[5, 4], [10, 2], [40, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['5.10.0.a.1', '24.12.0.ba.1'], 'fine_num': 0, 'generators': [[11, 60, 50, 61], [27, 40, 100, 27], [41, 42, 118, 53], [63, 16, 34, 69], [77, 66, 74, 73], [87, 98, 100, 73], [96, 53, 29, 64]], 'genus': 7, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 120, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [20, 6, 2], [20, 24, 1], [24, 8, 2], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 12, 2], [40, 48, 1], [60, 24, 2], [60, 96, 1], [120, 48, 2], [120, 192, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [20, 24, 2], [20, 96, 1], [24, 32, 2], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 96, 2], [40, 384, 1], [60, 192, 2], [60, 768, 1], [120, 768, 2], [120, 3072, 1]], 'label': '120.120.7.di.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, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [20, 48, 2], [20, 192, 1], [24, 64, 2], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 192, 2], [40, 768, 1], [60, 384, 2], [60, 1536, 1], [120, 1536, 2], [120, 6144, 1]], 'parents': ['20.60.3.c.1', '24.12.0.ba.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': None, 'power': None, 'psl2index': 120, 'psl2label': '40.120.7.b.1', 'psl2level': 40, 'q_gonality': None, 'q_gonality_bounds': [3, 12], 'qbar_gonality': None, 'qbar_gonality_bounds': [3, 7], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '5.10.0.a.1', '5.10.0.a.1', '10.30.1.a.1', '10.30.1.a.1', '20.60.3.c.1', '20.60.3.c.1', '20.60.3.c.1', '24.12.0.ba.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '40.120.7.b.1', 'sl2level': 40, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 120.120.7.di.1 does not appear in modcurve_models
• domain_label 120.120.7.di.1 does not appear in modcurve_modelmaps
• curve_label 120.120.7.di.1 does not appear in modcurve_points