Modular curve data - 312.192.1-312.sl.3.25

Formats: - HTML - YAML - JSON - 2024-06-11T15:55:34.144967

• 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': '24J1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 5, 257, 144], [0, 11, 53, 66], [0, 311, 17, 126], [0, 311, 29, 294], [0, 311, 185, 174], [0, 311, 185, 294], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 288, 289], [144, 13, 299, 170], [144, 169, 143, 170], [168, 13, 299, 194]], 'cm_discriminants': [], 'coarse_class': '312.96.1.sl', 'coarse_class_num': 480, 'coarse_index': 96, 'coarse_label': '312.96.1.sl.3', 'coarse_level': 312, 'coarse_num': 3, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[1, 4], [2, 2], [3, 4], [6, 2], [8, 2], [24, 2]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 25, 'generators': [[16, 13, 69, 92], [81, 274, 212, 107], [97, 298, 54, 113], [171, 14, 296, 117], [193, 142, 258, 293]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 192, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [13, 14, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [26, 14, 1], [26, 28, 1], [39, 14, 1], [39, 42, 1], [52, 14, 2], [52, 56, 1], [78, 14, 1], [78, 28, 1], [78, 42, 1], [78, 84, 1], [104, 28, 2], [104, 112, 1], [156, 14, 2], [156, 42, 2], [156, 56, 1], [156, 168, 1], [312, 28, 2], [312, 84, 2], [312, 112, 1], [312, 336, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [13, 84, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [26, 84, 1], [26, 168, 1], [39, 168, 1], [39, 504, 1], [52, 168, 2], [52, 672, 1], [78, 168, 1], [78, 336, 1], [78, 504, 1], [78, 1008, 1], [104, 672, 2], [104, 2688, 1], [156, 336, 2], [156, 672, 2], [156, 1008, 2], [156, 4032, 1], [312, 1344, 2], [312, 2688, 2], [312, 4032, 2], [312, 16128, 1]], 'label': '312.192.1-312.sl.3.25', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, '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': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 3, 2], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 3, 2], [6, 4, 1], [6, 6, 2], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [13, 168, 1], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2], [26, 168, 1], [26, 336, 1], [39, 336, 1], [39, 504, 2], [52, 336, 2], [52, 1344, 1], [78, 336, 1], [78, 504, 2], [78, 672, 1], [78, 1008, 2], [104, 1344, 2], [104, 5376, 1], [156, 672, 2], [156, 1008, 4], [156, 1344, 2], [156, 4032, 2], [312, 2688, 2], [312, 4032, 4], [312, 5376, 2], [312, 16128, 2]], 'parents': ['12.96.0-12.c.3.3', '312.96.0-12.c.3.12', '312.96.0-312.dq.1.36', '312.96.0-312.dq.1.58', '312.96.1-312.zu.1.3', '312.96.1-312.zu.1.25'], 'parents_conj': None, 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '24.96.1.a.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 96], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.8.0-3.a.1.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '6.24.0-6.a.1.2', '12.96.0-12.c.3.3', '12.96.0-12.c.3.3', '12.96.0-12.c.3.3', '104.12.0.y.1'], 'scalar_label': '12.4.1', 'simple': True, 'sl2label': '24.96.1.a.1', 'sl2level': 24, 'squarefree': True, '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': '24J1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 127, 18], [0, 1, 127, 138], [0, 1, 283, 18], [0, 1, 295, 186], [0, 5, 257, 144], [0, 11, 53, 66], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 288, 289], [144, 13, 299, 170], [144, 169, 143, 170], [144, 299, 13, 118]], 'cm_discriminants': [], 'coarse_class': '312.96.1.sl', 'coarse_class_num': 480, 'coarse_index': 96, 'coarse_label': '312.96.1.sl.3', 'coarse_level': 312, 'coarse_num': 3, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 6], [4, 1]], 'cusp_widths': [[1, 4], [2, 2], [3, 4], [6, 2], [8, 2], [24, 2]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[24, 41, 277, 88], [76, 181, 153, 164], [82, 55, 143, 186], [179, 266, 250, 243], [205, 166, 266, 309], [270, 19, 49, 144]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [13, 14, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [26, 14, 1], [26, 28, 1], [39, 14, 1], [39, 42, 1], [52, 14, 2], [52, 56, 1], [78, 14, 1], [78, 28, 1], [78, 42, 1], [78, 84, 1], [104, 28, 2], [104, 112, 1], [156, 14, 2], [156, 42, 2], [156, 56, 1], [156, 168, 1], [312, 28, 2], [312, 84, 2], [312, 112, 1], [312, 336, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [13, 84, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [26, 84, 1], [26, 168, 1], [39, 168, 1], [39, 504, 1], [52, 168, 2], [52, 672, 1], [78, 168, 1], [78, 336, 1], [78, 504, 1], [78, 1008, 1], [104, 672, 2], [104, 2688, 1], [156, 336, 2], [156, 672, 2], [156, 1008, 2], [156, 4032, 1], [312, 1344, 2], [312, 2688, 2], [312, 4032, 2], [312, 16128, 1]], 'label': '312.96.1.sl.3', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, '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, 1], [3, 6, 1], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 48, 1], [13, 168, 1], [24, 16, 2], [24, 32, 2], [24, 48, 2], [24, 192, 1], [26, 168, 1], [26, 336, 1], [39, 336, 1], [39, 1008, 1], [52, 336, 2], [52, 1344, 1], [78, 336, 1], [78, 672, 1], [78, 1008, 1], [78, 2016, 1], [104, 1344, 2], [104, 5376, 1], [156, 672, 2], [156, 1344, 2], [156, 2016, 2], [156, 8064, 1], [312, 2688, 2], [312, 5376, 2], [312, 8064, 2], [312, 32256, 1]], 'parents': ['12.48.0.c.3', '312.48.0.dq.1', '312.48.1.zu.1'], 'parents_conj': [[217, 0, 288, 11], [1, 0, 0, 1], [179, 0, 216, 187]], 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '24.96.1.a.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 96], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '4.6.0.c.1', '6.12.0.a.1', '6.12.0.a.1', '12.48.0.c.3', '12.48.0.c.3', '12.48.0.c.3', '104.12.0.y.1'], 'scalar_label': '12.2.1', 'simple': True, 'sl2label': '24.96.1.a.1', 'sl2level': 24, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 312.96.1.sl.3 does not appear in modcurve_models
• domain_label 312.96.1.sl.3 does not appear in modcurve_modelmaps
• curve_label 312.96.1.sl.3 does not appear in modcurve_points