Modular curve data - 36.1296.46-36.g.1.3

Formats: - HTML - YAML - JSON - 2024-06-07T18:29:40.614197

• 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': None, 'Glabel': '288.900', 'RSZBlabel': '36.1296.46.7', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [13, 13, 32, 27], 'canonical_generators': [[1, 4, 20, 9], [5, 4, 24, 5], [5, 10, 28, 15], [25, 12, 8, 1], [31, 26, 8, 3], [35, 20, 20, 1]], 'cm_discriminants': [], 'coarse_class': '36.648.46.g', 'coarse_class_num': 7, 'coarse_index': 648, 'coarse_label': '36.648.46.g.1', 'coarse_level': 36, 'coarse_num': 1, 'conductor': [[2, 112], [3, 168]], 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[3, 2], [6, 2]], 'cusp_widths': [[36, 18]], 'cusps': 18, 'determinant_label': '1.1.1', 'dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2], 'factorization': [], 'fine_num': 3, 'generators': [[7, 26, 20, 27], [35, 6, 16, 29]], 'genus': 46, 'genus_minus_rank': 36, 'has_obstruction': 1, 'index': 1296, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [9, 12, 1], [12, 4, 2], [12, 8, 2], [18, 12, 3], [36, 12, 2], [36, 24, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [9, 36, 1], [12, 8, 2], [12, 16, 2], [18, 36, 3], [36, 72, 2], [36, 144, 2]], 'label': '36.1296.46-36.g.1.3', 'lattice_labels': None, 'lattice_x': None, 'level': 36, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '262.19934871895630280913', 'prec': 80}, 'models': None, 'mults': [4, 4, 1, 1, 3, 3, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 0, 'obstructions': None, 'orbits': [[2, 1, 3], [3, 8, 1], [4, 2, 4], [4, 4, 1], [6, 8, 3], [9, 72, 1], [12, 16, 4], [12, 32, 1], [18, 72, 3], [36, 144, 4], [36, 288, 1]], 'parents': ['12.48.0-12.c.1.2', '36.648.22-36.b.1.3', '36.648.22-36.b.1.6', '36.648.22-36.c.1.2', '36.648.22-36.c.1.3', '36.648.22-36.d.1.1', '36.648.22-36.d.1.4'], 'parents_conj': None, 'pointless': True, 'power': False, 'psl2index': 648, 'psl2label': '36.648.46.a.1', 'psl2level': 36, 'q_gonality': None, 'q_gonality_bounds': [9, 24], 'qbar_gonality': None, 'qbar_gonality_bounds': [9, 24], 'rank': 10, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.24.0-4.b.1.2', '9.27.0.a.1', '12.48.0-12.c.1.2', '18.162.10.a.1'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '36.1296.46-36.a.1.1', 'sl2level': 36, 'squarefree': False, 'trace_hash': 1137764067654032070, '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': None, 'Glabel': '576.8440', 'RSZBlabel': '36.648.46.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [13, 13, 32, 27], 'canonical_generators': [[1, 4, 20, 9], [1, 16, 16, 35], [5, 4, 24, 5], [5, 10, 28, 15], [5, 10, 28, 33], [11, 24, 28, 35]], 'cm_discriminants': [], 'coarse_class': '36.648.46.g', 'coarse_class_num': 7, 'coarse_index': 648, 'coarse_label': '36.648.46.g.1', 'coarse_level': 36, 'coarse_num': 1, 'conductor': [[2, 112], [3, 168]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[3, 2], [6, 2]], 'cusp_widths': [[36, 18]], 'cusps': 18, 'determinant_label': '1.1.1', 'dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2], 'factorization': [], 'fine_num': 0, 'generators': [[11, 10, 24, 29], [13, 22, 28, 23], [31, 14, 24, 23]], 'genus': 46, 'genus_minus_rank': 36, 'has_obstruction': 1, 'index': 648, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [9, 12, 1], [12, 4, 2], [12, 8, 2], [18, 12, 3], [36, 12, 2], [36, 24, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [9, 36, 1], [12, 8, 2], [12, 16, 2], [18, 36, 3], [36, 72, 2], [36, 144, 2]], 'label': '36.648.46.g.1', 'lattice_labels': None, 'lattice_x': None, 'level': 36, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '262.19934871895630280913', 'prec': 80}, 'models': None, 'mults': [4, 4, 1, 1, 3, 3, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'name': None, 'newforms': ['54.2.a.a', '54.2.a.b', '162.2.a.a', '162.2.a.b', '162.2.a.c', '162.2.a.d', '216.2.a.b', '216.2.a.c', '324.2.a.a', '324.2.a.b', '324.2.a.c', '324.2.a.d', '432.2.a.b', '432.2.a.c', '432.2.a.f', '432.2.a.g', '648.2.a.a', '648.2.a.b', '648.2.a.c', '648.2.a.d', '648.2.a.f', '648.2.a.g', '1296.2.a.b', '1296.2.a.c', '1296.2.a.f', '1296.2.a.h', '1296.2.a.i', '1296.2.a.j', '1296.2.a.p'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 0, 'obstructions': [5, 11, 59, 67, 83, 131, 229], 'orbits': [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [9, 72, 1], [12, 16, 2], [12, 32, 2], [18, 72, 3], [36, 144, 2], [36, 288, 2]], 'parents': ['12.24.0.c.1', '36.324.22.b.1', '36.324.22.c.1', '36.324.22.d.1'], 'parents_conj': [[26, 25, 29, 17], [1, 0, 0, 1], [6, 5, 5, 28], [17, 2, 19, 11]], 'pointless': True, 'power': False, 'psl2index': 648, 'psl2label': '36.648.46.a.1', 'psl2level': 36, 'q_gonality': None, 'q_gonality_bounds': [9, 24], 'qbar_gonality': None, 'qbar_gonality_bounds': [9, 24], 'rank': 10, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '9.27.0.a.1', '12.24.0.c.1', '18.162.10.a.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '36.648.46.a.1', 'sl2level': 36, 'squarefree': False, 'trace_hash': 1137764067654032070, 'traces': [4, 0, 6, -4, 12, -10, 12, 8, -36, 6, -4, -4, 18, -52, -12, 36, 60, 38, 68, -24, -40, 20, 84, 12, -34, -6, -52, -24, 20, 18, -136, 132, -54, 44, -18, 68, -202, 152, -132, 30, 0, -148, -84, -190, -72, -112, 20, 140, 108, 230, -60, -108, -142, 96, 18, -108, 0, -160, -10, 18, 92, 6, 104, -108, 74, -42, 20, -298, 108, 110, 18, 0, 68, 350, 80, -36, 18, 20, -30, 314, 60, 254, -72, 272, -28, 12, 84, 170, -6, -4, 48, -60, 8, 12, -52, -24, 42, -36, -88, 356, 92, 48, -132, 42, -172, 32, 108, 60, 108, 314, 164, -148, 42, -52, -232, -30, 116, -120, 42, -156, 494, -142, -30, -216, 188, 72, 542, -72, -100, -490, -88, 180, 284, -76, 90, -334, 0, 140, 30, 84, -136, -66, -172, 96, 500, -12, 38, -102, -244, 120, -226, -36, -184, 12, 332, 156, 296, 90, -40, 6, -108, -12, 44, 144, -54, -12, 296, 134]}
• modcurve 36.648.46.g.1 does not appear in modcurve_models
• domain_label 36.648.46.g.1 does not appear in modcurve_modelmaps
• curve_label 36.648.46.g.1 does not appear in modcurve_points