Modular curve data - 102.72.1.c.1

Formats: - HTML - YAML - JSON - 2024-06-06T08:23:13.509670

• 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': '6F1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 17], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 6, 1], [1, 2, 24, 17], [1, 3, 84, 85], [1, 5, 48, 89], [1, 6, 0, 1], [7, 6, 96, 97], [35, 0, 0, 35]], 'cm_discriminants': [], 'coarse_class': '102.72.1.c', 'coarse_class_num': 3, 'coarse_index': 72, 'coarse_label': '102.72.1.c.1', 'coarse_level': 102, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 3], [4, 1]], 'cusp_widths': [[6, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[17, 48, 90, 53], [29, 64, 0, 19], [83, 49, 24, 37]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 3], [6, 4, 1], [17, 18, 1], [34, 18, 1], [34, 36, 1], [51, 18, 2], [51, 36, 1], [102, 18, 2], [102, 36, 3], [102, 72, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 3], [6, 4, 1], [17, 144, 1], [34, 144, 1], [34, 288, 1], [51, 288, 2], [51, 576, 1], [102, 288, 2], [102, 576, 3], [102, 1152, 1]], 'label': '102.72.1.c.1', 'lattice_labels': None, 'lattice_x': None, 'level': 102, 'level_is_squarefree': True, 'level_radical': 102, 'log_conductor': None, 'models': None, 'mults': [1], '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, 2, 2], [3, 4, 1], [6, 2, 2], [6, 4, 3], [6, 8, 1], [17, 288, 1], [34, 288, 1], [34, 576, 1], [51, 576, 2], [51, 1152, 1], [102, 576, 2], [102, 1152, 3], [102, 2304, 1]], 'parents': ['6.36.0.a.1', '102.24.0.b.1', '102.24.1.c.1', '102.36.0.b.1', '102.36.1.h.1'], 'parents_conj': [[1, 0, 0, 1], [99, 34, 61, 75], [35, 0, 85, 35], [29, 68, 51, 97], [100, 51, 51, 100]], 'pointless': False, 'power': True, 'psl2index': 72, 'psl2label': '6.72.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.12.0.a.1', '3.12.0.a.1', '6.36.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.72.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 102.72.1.c.1 does not appear in modcurve_models
• domain_label 102.72.1.c.1 does not appear in modcurve_modelmaps
• curve_label 102.72.1.c.1 does not appear in modcurve_points