Modular curve data - 260.144.3-260.cn.2.13

Formats: - HTML - YAML - JSON - 2024-06-11T18:06:56.674910

• 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': '20G3', '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, 92], [0, 9, 111, 118], [0, 259, 41, 38], [0, 259, 171, 38], [1, 0, 20, 1], [1, 20, 0, 1], [21, 20, 240, 241], [38, 91, 169, 90], [40, 169, 91, 248], [220, 39, 221, 168]], 'cm_discriminants': [], 'coarse_class': '260.72.3.cn', 'coarse_class_num': 66, 'coarse_index': 72, 'coarse_label': '260.72.3.cn.2', 'coarse_level': 260, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[2, 2], [4, 2], [10, 2], [20, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 13, 'generators': [[12, 217, 143, 106], [50, 9, 131, 218], [77, 14, 66, 195], [190, 219, 253, 126]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 144, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [13, 14, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [26, 14, 1], [26, 28, 1], [52, 28, 1], [52, 56, 1], [65, 14, 1], [65, 70, 1], [130, 14, 1], [130, 28, 1], [130, 70, 1], [130, 140, 1], [260, 28, 1], [260, 56, 1], [260, 140, 1], [260, 280, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1], [13, 84, 1], [20, 4, 2], [20, 8, 2], [20, 40, 1], [20, 80, 1], [26, 84, 1], [26, 168, 1], [52, 336, 1], [52, 672, 1], [65, 168, 2], [65, 1680, 1], [130, 168, 2], [130, 336, 2], [130, 1680, 1], [130, 3360, 1], [260, 672, 2], [260, 1344, 2], [260, 6720, 1], [260, 13440, 1]], 'label': '260.144.3-260.cn.2.13', 'lattice_labels': None, 'lattice_x': None, 'level': 260, 'level_is_squarefree': False, '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, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [10, 2, 6], [10, 20, 1], [10, 40, 1], [13, 168, 1], [20, 8, 6], [20, 80, 1], [20, 160, 1], [26, 168, 1], [26, 336, 1], [52, 672, 1], [52, 1344, 1], [65, 336, 2], [65, 3360, 1], [130, 336, 6], [130, 3360, 1], [130, 6720, 1], [260, 1344, 6], [260, 13440, 1], [260, 26880, 1]], 'parents': ['10.72.0-10.a.2.4', '260.72.0-10.a.2.6'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 72, 'psl2label': '20.72.3.d.1', 'psl2level': 20, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, 'rational_cusps': 4, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '5.12.0.a.1', '5.12.0.a.1', '10.72.0-10.a.2.4', '10.72.0-10.a.2.4', '10.72.0-10.a.2.4'], 'scalar_label': '5.4.1', 'simple': False, 'sl2label': '20.72.3.d.1', 'sl2level': 20, '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': '20G3', '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, 89, 222], [0, 1, 219, 222], [0, 9, 7, 92], [0, 9, 111, 118], [1, 0, 20, 1], [1, 20, 0, 1], [21, 20, 240, 241], [40, 169, 91, 248], [40, 221, 39, 92], [222, 169, 91, 170]], 'cm_discriminants': [], 'coarse_class': '260.72.3.cn', 'coarse_class_num': 66, 'coarse_index': 72, 'coarse_label': '260.72.3.cn.2', 'coarse_level': 260, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[2, 2], [4, 2], [10, 2], [20, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[73, 176, 240, 79], [77, 24, 188, 203], [117, 112, 218, 201], [125, 64, 204, 35], [170, 61, 47, 54]], 'genus': 3, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [13, 14, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [26, 14, 1], [26, 28, 1], [52, 28, 1], [52, 56, 1], [65, 14, 1], [65, 70, 1], [130, 14, 1], [130, 28, 1], [130, 70, 1], [130, 140, 1], [260, 28, 1], [260, 56, 1], [260, 140, 1], [260, 280, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1], [13, 84, 1], [20, 4, 2], [20, 8, 2], [20, 40, 1], [20, 80, 1], [26, 84, 1], [26, 168, 1], [52, 336, 1], [52, 672, 1], [65, 168, 2], [65, 1680, 1], [130, 168, 2], [130, 336, 2], [130, 1680, 1], [130, 3360, 1], [260, 672, 2], [260, 1344, 2], [260, 6720, 1], [260, 13440, 1]], 'label': '260.72.3.cn.2', 'lattice_labels': None, 'lattice_x': None, 'level': 260, 'level_is_squarefree': False, '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, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [10, 2, 2], [10, 4, 2], [10, 20, 1], [10, 40, 1], [13, 168, 1], [20, 8, 2], [20, 16, 2], [20, 80, 1], [20, 160, 1], [26, 168, 1], [26, 336, 1], [52, 672, 1], [52, 1344, 1], [65, 336, 2], [65, 3360, 1], [130, 336, 2], [130, 672, 2], [130, 3360, 1], [130, 6720, 1], [260, 1344, 2], [260, 2688, 2], [260, 13440, 1], [260, 26880, 1]], 'parents': ['10.36.0.a.2', '260.36.1.h.1', '260.36.2.a.2'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 72, 'psl2label': '20.72.3.d.1', 'psl2level': 20, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': None, 'rational_cusps': 4, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '5.12.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '10.36.0.a.2', '10.36.0.a.2'], 'scalar_label': '5.2.1', 'simple': False, 'sl2label': '20.72.3.d.1', 'sl2level': 20, 'squarefree': None, 'trace_hash': None, 'traces': None}
• modcurve 260.72.3.cn.2 does not appear in modcurve_models
• domain_label 260.72.3.cn.2 does not appear in modcurve_modelmaps
• curve_label 260.72.3.cn.2 does not appear in modcurve_points