Modular curve data - 120.48.1-120.iw.1.4

Formats: - HTML - YAML - JSON - 2024-06-05T20:32:05.590671

• 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': '12F1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 23, 82], [0, 1, 29, 58], [0, 1, 29, 82], [0, 1, 59, 82], [0, 1, 101, 106], [0, 119, 11, 78], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 108, 109], [24, 35, 85, 44], [96, 65, 55, 56], [114, 95, 85, 14]], 'cm_discriminants': [], 'coarse_class': '120.24.1.iw', 'coarse_class_num': 231, 'coarse_index': 24, 'coarse_label': '120.24.1.iw.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4]], 'cusp_widths': [[2, 1], [4, 1], [6, 1], [12, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 4, 'generators': [[46, 33, 37, 92], [69, 4, 88, 15], [99, 94, 104, 37], [109, 86, 90, 53], [117, 16, 86, 31]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [40, 24, 1], [40, 48, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1], [120, 24, 1], [120, 48, 1], [120, 72, 1], [120, 144, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [40, 192, 1], [40, 384, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1], [120, 384, 1], [120, 768, 1], [120, 1152, 1], [120, 2304, 1]], 'label': '120.48.1-120.iw.1.4', 'lattice_labels': None, 'lattice_x': None, 'level': 120, 'level_is_squarefree': False, 'level_radical': 30, '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, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [40, 384, 1], [40, 768, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1], [120, 768, 1], [120, 1536, 1], [120, 2304, 1], [120, 4608, 1]], 'parents': ['12.24.0-6.a.1.6', '120.24.0-6.a.1.7'], 'parents_conj': None, 'pointless': False, 'power': True, 'psl2index': 24, 'psl2label': '12.24.1.c.1', 'psl2level': 12, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], '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', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.6', '12.24.0-6.a.1.6', '12.24.0-6.a.1.6', '40.6.0.e.1'], 'scalar_label': '3.2.1', 'simple': True, 'sl2label': '12.24.1.c.1', 'sl2level': 12, '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': '12F1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 23, 82], [0, 1, 29, 58], [0, 1, 29, 82], [0, 1, 59, 82], [0, 1, 101, 106], [0, 1, 109, 42], [1, 0, 12, 1], [1, 12, 0, 1], [6, 25, 35, 106], [13, 12, 108, 109], [96, 65, 55, 56], [96, 85, 35, 76]], 'cm_discriminants': [], 'coarse_class': '120.24.1.iw', 'coarse_class_num': 231, 'coarse_index': 24, 'coarse_label': '120.24.1.iw.1', 'coarse_level': 120, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4]], 'cusp_widths': [[2, 1], [4, 1], [6, 1], [12, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['3.4.0.a.1', '40.6.0.e.1'], 'fine_num': 0, 'generators': [[3, 112, 46, 57], [9, 86, 80, 99], [45, 34, 32, 43], [70, 21, 79, 104], [74, 3, 99, 110], [109, 72, 10, 77]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [40, 24, 1], [40, 48, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1], [120, 24, 1], [120, 48, 1], [120, 72, 1], [120, 144, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [40, 192, 1], [40, 384, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1], [120, 384, 1], [120, 768, 1], [120, 1152, 1], [120, 2304, 1]], 'label': '120.24.1.iw.1', 'lattice_labels': None, 'lattice_x': None, 'level': 120, 'level_is_squarefree': False, 'level_radical': 30, '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, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [40, 384, 1], [40, 768, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1], [120, 768, 1], [120, 1536, 1], [120, 2304, 1], [120, 4608, 1]], 'parents': ['6.12.0.a.1', '40.6.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 24, 'psl2label': '12.24.1.c.1', 'psl2level': 12, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], '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', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '40.6.0.e.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '12.24.1.c.1', 'sl2level': 12, 'squarefree': True, 'trace_hash': None, 'traces': None}
• modcurve 120.24.1.iw.1 does not appear in modcurve_models
• domain_label 120.24.1.iw.1 does not appear in modcurve_modelmaps
• curve_label 120.24.1.iw.1 does not appear in modcurve_points