Modular curve data - 210.240.5-210.r.1.8

Formats: - HTML - YAML - JSON - 2024-06-02T16:29:39.964745

• 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, 3, 5, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 209, 107, 8], [0, 209, 107, 188], [0, 209, 157, 188], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 200, 201], [146, 105, 105, 41], [208, 197, 31, 22]], 'cm_discriminants': [], 'coarse_class': '210.120.5.r', 'coarse_class_num': 18, 'coarse_index': 120, 'coarse_label': '210.120.5.r.1', 'coarse_level': 210, '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', '42.2.0.a.1'], 'fine_num': 8, 'generators': [[31, 195, 25, 86], [59, 38, 54, 55], [145, 134, 57, 23]], 'genus': 5, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 240, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [5, 1, 2], [5, 4, 1], [6, 12, 1], [7, 8, 1], [10, 3, 2], [10, 12, 1], [14, 24, 1], [15, 4, 2], [15, 16, 1], [21, 32, 1], [30, 12, 2], [30, 48, 1], [35, 8, 2], [35, 32, 1], [42, 96, 1], [70, 24, 2], [70, 96, 1], [105, 32, 2], [105, 128, 1], [210, 96, 2], [210, 384, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [6, 12, 1], [7, 24, 1], [10, 3, 2], [10, 6, 1], [10, 12, 2], [14, 72, 1], [15, 8, 2], [15, 16, 1], [15, 32, 2], [21, 192, 1], [30, 24, 2], [30, 48, 1], [30, 96, 2], [35, 48, 2], [35, 96, 1], [35, 192, 2], [42, 576, 1], [70, 144, 2], [70, 288, 1], [70, 576, 2], [105, 384, 2], [105, 768, 1], [105, 1536, 2], [210, 1152, 2], [210, 2304, 1], [210, 4608, 2]], 'label': '210.240.5-210.r.1.8', 'lattice_labels': None, 'lattice_x': None, 'level': 210, 'level_is_squarefree': True, 'level_radical': 210, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 4, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 3, 1], [3, 8, 1], [5, 1, 4], [5, 4, 5], [6, 24, 1], [7, 48, 1], [10, 3, 4], [10, 12, 5], [14, 144, 1], [15, 8, 4], [15, 32, 5], [21, 384, 1], [30, 24, 4], [30, 96, 5], [35, 48, 4], [35, 192, 5], [42, 1152, 1], [70, 144, 4], [70, 576, 5], [105, 384, 4], [105, 1536, 5], [210, 1152, 4], [210, 4608, 5]], 'parents': ['5.120.0-5.a.1.2', '210.48.1-210.s.1.5', '210.48.1-210.s.2.5', '210.120.0-5.a.1.2'], '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', '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', '5.120.0-5.a.1.2', '5.120.0-5.a.1.2', '42.2.0.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, 3, 5, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 53, 22], [0, 1, 103, 22], [0, 1, 103, 202], [1, 0, 10, 1], [1, 10, 0, 1], [2, 13, 179, 188], [11, 10, 200, 201], [64, 105, 105, 169]], 'cm_discriminants': [], 'coarse_class': '210.120.5.r', 'coarse_class_num': 18, 'coarse_index': 120, 'coarse_label': '210.120.5.r.1', 'coarse_level': 210, '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', '42.2.0.a.1'], 'fine_num': 0, 'generators': [[71, 105, 160, 1], [135, 101, 208, 87], [191, 120, 170, 91], [195, 139, 47, 148]], 'genus': 5, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 120, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [5, 1, 2], [5, 4, 1], [6, 12, 1], [7, 8, 1], [10, 3, 2], [10, 12, 1], [14, 24, 1], [15, 4, 2], [15, 16, 1], [21, 32, 1], [30, 12, 2], [30, 48, 1], [35, 8, 2], [35, 32, 1], [42, 96, 1], [70, 24, 2], [70, 96, 1], [105, 32, 2], [105, 128, 1], [210, 96, 2], [210, 384, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [6, 12, 1], [7, 24, 1], [10, 3, 2], [10, 6, 1], [10, 12, 2], [14, 72, 1], [15, 8, 2], [15, 16, 1], [15, 32, 2], [21, 192, 1], [30, 24, 2], [30, 48, 1], [30, 96, 2], [35, 48, 2], [35, 96, 1], [35, 192, 2], [42, 576, 1], [70, 144, 2], [70, 288, 1], [70, 576, 2], [105, 384, 2], [105, 768, 1], [105, 1536, 2], [210, 1152, 2], [210, 2304, 1], [210, 4608, 2]], 'label': '210.120.5.r.1', 'lattice_labels': None, 'lattice_x': None, 'level': 210, 'level_is_squarefree': True, 'level_radical': 210, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 4, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [5, 2, 2], [5, 4, 1], [5, 8, 2], [6, 24, 1], [7, 48, 1], [10, 6, 2], [10, 12, 1], [10, 24, 2], [14, 144, 1], [15, 16, 2], [15, 32, 1], [15, 64, 2], [21, 384, 1], [30, 48, 2], [30, 96, 1], [30, 192, 2], [35, 96, 2], [35, 192, 1], [35, 384, 2], [42, 1152, 1], [70, 288, 2], [70, 576, 1], [70, 1152, 2], [105, 768, 2], [105, 1536, 1], [105, 3072, 2], [210, 2304, 2], [210, 4608, 1], [210, 9216, 2]], 'parents': ['5.60.0.a.1', '210.24.1.s.1', '210.24.1.s.2', '210.60.2.c.1', '210.60.3.n.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [83, 18, 0, 1], [187, 9, 0, 1], [43, 126, 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', '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', '5.60.0.a.1', '5.60.0.a.1', '42.2.0.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 210.120.5.r.1 does not appear in modcurve_models
• domain_label 210.120.5.r.1 does not appear in modcurve_modelmaps
• curve_label 210.120.5.r.1 does not appear in modcurve_points