Modular curve data - 24.96.0-24.ba.2.5

Formats: - HTML - YAML - JSON - 2024-06-11T08:03:10.982768

• 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': '8O0', 'Glabel': '768.1089273', 'RSZBlabel': '24.96.0.185', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [7, 7, 17, 16], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 18, 1], [1, 8, 0, 1], [5, 0, 2, 17], [5, 8, 10, 5], [5, 8, 10, 9], [9, 8, 16, 17], [17, 0, 6, 17], [21, 16, 22, 23]], 'cm_discriminants': [], 'coarse_class': '24.48.0.ba', 'coarse_class_num': 27, 'coarse_index': 48, 'coarse_label': '24.48.0.ba.2', 'coarse_level': 24, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 5]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 5, 'generators': [[17, 4, 16, 13], [19, 2, 0, 1], [23, 12, 0, 13], [23, 18, 0, 13]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 0, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 1, 2], [8, 2, 1], [8, 4, 2], [12, 4, 2], [12, 8, 2], [24, 4, 2], [24, 8, 1], [24, 16, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [24, 16, 2], [24, 32, 1], [24, 64, 2]], 'label': '24.96.0-24.ba.2.5', 'lattice_labels': None, 'lattice_x': None, 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': None, 'mults': None, '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, 6], [6, 8, 3], [8, 4, 4], [8, 8, 4], [12, 16, 6], [24, 32, 4], [24, 64, 4]], 'parents': ['8.48.0-8.i.1.2', '24.48.0-8.i.1.4', '24.48.0-24.h.2.5', '24.48.0-24.h.2.9', '24.48.0-24.by.2.6', '24.48.0-24.by.2.11'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.b.1', 'psl2level': 8, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.24.0-4.b.1.1', '4.24.0-4.b.1.1', '8.48.0-8.i.1.2'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '8.96.0-8.b.1.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, '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': '8O0', 'Glabel': None, 'RSZBlabel': '24.48.0.435', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [7, 7, 17, 16], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 18, 1], [1, 8, 0, 1], [3, 8, 2, 1], [5, 0, 2, 17], [5, 8, 10, 5], [5, 8, 10, 9], [7, 0, 18, 7], [9, 8, 16, 17]], 'cm_discriminants': [], 'coarse_class': '24.48.0.ba', 'coarse_class_num': 27, 'coarse_index': 48, 'coarse_label': '24.48.0.ba.2', 'coarse_level': 24, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 5]], 'cusp_widths': [[2, 4], [4, 2], [8, 4]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[11, 18, 16, 5], [13, 4, 8, 15], [17, 18, 0, 5], [19, 20, 0, 13], [19, 20, 8, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 1, 2], [8, 2, 1], [8, 4, 2], [12, 4, 2], [12, 8, 2], [24, 4, 2], [24, 8, 1], [24, 16, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [24, 16, 2], [24, 32, 1], [24, 64, 2]], 'label': '24.48.0.ba.2', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.c.1', '4.6.0.d.1', '4.12.0.b.1', '8.12.0.n.1', '8.12.0.o.1', '8.24.0.i.1', '24.24.0.h.2', '24.24.0.by.2', '24.48.0.ba.2'], 'lattice_x': [2705, 1246, 4164, 1520, 6383, 3891, 3344, 8876, 6383, 6383, 3769, 8723, 6383], 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], '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': [], 'orbits': [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 4, 2], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [24, 32, 2], [24, 64, 1], [24, 128, 2]], 'parents': ['8.24.0.i.1', '24.24.0.h.2', '24.24.0.by.2'], 'parents_conj': [[1, 0, 0, 1], [13, 0, 18, 13], [23, 18, 22, 7]], 'pointless': None, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.b.1', 'psl2level': 8, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '4.12.0.b.1', '8.24.0.i.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.48.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
• modcurve_models •

  Column	Type
  dont_display	boolean
  equation	text[]
  modcurve	text
  model_type	smallint
  number_variables	smallint
  smooth	boolean
  upload_id	bigint

  
  {'dont_display': False, 'equation': ['3*x^2+3*y^2-8*z^2'], 'modcurve': '24.48.0.ba.2', 'model_type': 2, 'number_variables': 3, 'smooth': True, 'upload_id': None}
• modcurve_modelmaps •

  Column	Type
  codomain_label	text
  codomain_model_type	smallint
  coordinates	text[]
  degree	integer
  domain_label	text
  domain_model_type	smallint
  dont_display	boolean
  factored	boolean
  leading_coefficients	text[]
  upload_id	bigint

  
  {'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['(81*x^8-432*x^6*z^2-1440*x^4*z^4+5376*x^2*z^6+256*z^8)^3', 'z^4*x^2*(3*x^2-8*z^2)*(3*x^2-4*z^2)^8'], 'degree': 48, 'domain_label': '24.48.0.ba.2', 'domain_model_type': 2, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-1', '3'], 'upload_id': None}
• modcurve_points •

  Column	Type
  Elabel	text
  ainvs	text
  cardinality	integer
  cm	smallint
  conductor_norm	numeric
  coordinates	jsonb
  curve_genus	integer
  curve_index	integer
  curve_label	text
  curve_level	integer
  curve_name	text
  cusp	boolean
  degree	smallint
  isolated	smallint
  j_field	text
  j_height	double precision
  jinv	text
  jorig	text
  quo_info	smallint[]
  residue_field	text
  upload_id	bigint

  
  
  • id: 1720005
    {'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['0,2/3:0,2/3:1,0', '0,-2/3:0,2/3:1,0']}, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '24.48.0.ba.2', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.2.12.1', 'upload_id': None}
  • id: 1720006
    {'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['0,2/3:0,0:1,0', '0,-2/3:0,0:1,0']}, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '24.48.0.ba.2', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.2.24.1', 'upload_id': None}
  • id: 1720007
    {'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['0,1:1,0:0,0']}, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '24.48.0.ba.2', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.0.4.1', 'upload_id': None}