Modular curve data - 130.240.5-130.j.1.4

Formats: - HTML - YAML - JSON - 2024-06-01T14:09:11.913067

• 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, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 9, 7, 118], [0, 129, 7, 128], [0, 129, 67, 38], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 120, 121], [116, 65, 65, 51], [128, 127, 101, 92]], 'cm_discriminants': [], 'coarse_class': '130.120.5.j', 'coarse_class_num': 10, 'coarse_index': 120, 'coarse_label': '130.120.5.j.1', 'coarse_level': 130, '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': ['5.120.0-5.a.1.2', '26.2.0.a.1'], 'fine_num': 4, 'generators': [[90, 99, 67, 13], [111, 50, 35, 121]], 'genus': 5, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 240, 'isogeny_orbits': [[2, 3, 1], [5, 1, 2], [5, 4, 1], [10, 3, 2], [10, 12, 1], [13, 14, 1], [26, 42, 1], [65, 14, 2], [65, 56, 1], [130, 42, 2], [130, 168, 1]], 'kummer_orbits': [[2, 3, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [10, 3, 2], [10, 6, 1], [10, 12, 2], [13, 84, 1], [26, 252, 1], [65, 168, 2], [65, 336, 1], [65, 672, 2], [130, 504, 2], [130, 1008, 1], [130, 2016, 2]], 'label': '130.240.5-130.j.1.4', 'lattice_labels': None, 'lattice_x': None, 'level': 130, 'level_is_squarefree': True, 'level_radical': 130, '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], [5, 1, 4], [5, 4, 5], [10, 3, 4], [10, 12, 5], [13, 168, 1], [26, 504, 1], [65, 168, 4], [65, 672, 5], [130, 504, 4], [130, 2016, 5]], 'parents': ['5.120.0-5.a.1.2', '130.48.1-130.c.1.4', '130.48.1-130.c.2.4', '130.120.0-5.a.1.1'], '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', '5.120.0-5.a.1.2', '5.120.0-5.a.1.2', '5.120.0-5.a.1.2', '26.2.0.a.1'], '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, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 63, 92], [0, 1, 123, 2], [0, 9, 7, 118], [1, 0, 10, 1], [1, 10, 0, 1], [2, 3, 29, 38], [11, 10, 120, 121], [14, 65, 65, 79]], 'cm_discriminants': [], 'coarse_class': '130.120.5.j', 'coarse_class_num': 10, 'coarse_index': 120, 'coarse_label': '130.120.5.j.1', 'coarse_level': 130, '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': ['5.60.0.a.1', '26.2.0.a.1'], 'fine_num': 0, 'generators': [[54, 125, 55, 24], [85, 96, 53, 27], [129, 13, 4, 5]], 'genus': 5, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 120, 'isogeny_orbits': [[2, 3, 1], [5, 1, 2], [5, 4, 1], [10, 3, 2], [10, 12, 1], [13, 14, 1], [26, 42, 1], [65, 14, 2], [65, 56, 1], [130, 42, 2], [130, 168, 1]], 'kummer_orbits': [[2, 3, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [10, 3, 2], [10, 6, 1], [10, 12, 2], [13, 84, 1], [26, 252, 1], [65, 168, 2], [65, 336, 1], [65, 672, 2], [130, 504, 2], [130, 1008, 1], [130, 2016, 2]], 'label': '130.120.5.j.1', 'lattice_labels': None, 'lattice_x': None, 'level': 130, 'level_is_squarefree': True, 'level_radical': 130, '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], [5, 2, 2], [5, 4, 1], [5, 8, 2], [10, 6, 2], [10, 12, 1], [10, 24, 2], [13, 168, 1], [26, 504, 1], [65, 336, 2], [65, 672, 1], [65, 1344, 2], [130, 1008, 2], [130, 2016, 1], [130, 4032, 2]], 'parents': ['5.60.0.a.1', '130.24.1.c.1', '130.24.1.c.2', '130.60.2.c.1', '130.60.3.f.1'], 'parents_conj': [[1, 0, 0, 1], [27, 26, 0, 1], [53, 78, 0, 1], [27, 104, 0, 1], [53, 91, 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', '5.60.0.a.1', '5.60.0.a.1', '5.60.0.a.1', '26.2.0.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 130.120.5.j.1 does not appear in modcurve_models
• domain_label 130.120.5.j.1 does not appear in modcurve_modelmaps
• curve_label 130.120.5.j.1 does not appear in modcurve_points