Modular curve data - 38.1140.81.c.1

Formats: - HTML - YAML - JSON - 2024-05-23T08:24:28.748778

• 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': None, 'Glabel': '648.145', 'RSZBlabel': '38.1140.81.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 19], 'canonical_conjugator': [21, 0, 0, 1], 'canonical_generators': [[0, 1, 17, 0], [1, 2, 4, 9], [3, 8, 34, 35], [5, 24, 10, 33]], 'cm_discriminants': [], 'coarse_class': '38.1140.81.c', 'coarse_class_num': 3, 'coarse_index': 1140, 'coarse_label': '38.1140.81.c.1', 'coarse_level': 38, 'coarse_num': 1, 'conductor': [[2, 72], [19, 158]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1], [9, 1], [18, 1]], 'cusp_widths': [[38, 30]], 'cusps': 30, 'determinant_label': '1.1.1', 'dims': [1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 1, 1, 2, 6, 8], 'factorization': [], 'fine_num': 0, 'generators': [[18, 25, 33, 20], [36, 7, 13, 12]], 'genus': 81, 'genus_minus_rank': 39, 'has_obstruction': -1, 'index': 1140, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [19, 2, 1], [19, 18, 1], [38, 2, 1], [38, 4, 1], [38, 18, 1], [38, 36, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [19, 18, 1], [19, 162, 1], [38, 18, 1], [38, 36, 1], [38, 162, 1], [38, 324, 1]], 'label': '38.1140.81.c.1', 'lattice_labels': None, 'lattice_x': None, 'level': 38, 'level_is_squarefree': True, 'level_radical': 38, 'log_conductor': {'__RealLiteral__': 0, 'data': '515.12795570861365495947', 'prec': 80}, 'models': None, 'mults': [2, 1, 1, 3, 1, 2, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1], 'name': None, 'newforms': ['19.2.a.a', '38.2.a.a', '38.2.a.b', '361.2.a.a', '361.2.a.b', '361.2.a.g', '361.2.a.h', '361.2.a.i', '722.2.a.a', '722.2.a.b', '722.2.a.c', '722.2.a.d', '722.2.a.e', '722.2.a.f', '722.2.a.g', '722.2.a.j', '722.2.a.k', '722.2.a.l', '722.2.a.m', '722.2.a.n', '1444.2.a.a', '1444.2.a.c', '1444.2.a.e', '1444.2.a.g', '1444.2.a.i'], '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, 1], [2, 2, 1], [19, 36, 1], [19, 324, 1], [38, 36, 1], [38, 72, 1], [38, 324, 1], [38, 648, 1]], 'parents': ['38.6.0.b.1', '38.380.27.b.1', '38.570.36.a.1'], 'parents_conj': [[1, 0, 0, 1], [29, 3, 25, 6], [31, 15, 11, 30]], 'pointless': False, 'power': False, 'psl2index': 1140, 'psl2label': '38.1140.81.a.1', 'psl2level': 38, 'q_gonality': None, 'q_gonality_bounds': [20, 54], 'qbar_gonality': None, 'qbar_gonality_bounds': [20, 54], 'rank': 42, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1', '19.190.9.a.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '38.1140.81.a.1', 'sl2level': 38, 'squarefree': False, 'trace_hash': 1979115126172894264, 'traces': [-3, -9, 3, -27, -21, -11, 9, 2, -69, -35, -15, -12, -59, 3, -123, -19, -57, 15, 11, -25, 33, -5, -45, -63, 21, 87, 17, -37, -7, -16, 17, -75, 33, -45, 99, -2, 87, 87, -21, -51, -63, -3, -294, 53, 147, -171, 23, 43, -26, 84, 93, -279, 21, -21, -31, -189, -39, -189, 159, -47, 21, -15, 77, -411, 177, 57, 73, 129, 99, 207, 189, -339, -51, 61, 44, 7, 123, 81, -59, -3, -108, 73, -69, 1, 7, 39, -35, -186, 93, 33, 9, -495, -21, -69, 261, -339, -87, -187, -29, -105, -51, 105, -87, -164, 114, -183, 207, 177, -81, -15, -38, -225, -57, 243, -33, -75, 171, -276, 15, -73, -75, 85, -131, 82, 249, 123, -309, -465, -93, 147, 201, 47, -23, -357, -24, 177, -39, -177, -96, -63, -169, 75, 195, 101, -127, -7, 27, -75, 183, -3, -111, 129, 483, -35, -35, -78, -21, 225, -585, -227, 225, 29, 219, -115, 5, 21, -15, -585]}
• modcurve 38.1140.81.c.1 does not appear in modcurve_models
• domain_label 38.1140.81.c.1 does not appear in modcurve_modelmaps
• curve_label 38.1140.81.c.1 does not appear in modcurve_points