Modular curve data - 65.9360.355-65.a.1.3

Formats: - HTML - YAML - JSON - 2024-06-02T17:53:22.879116

• 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': '1344.4409', 'RSZBlabel': '65.9360.355.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [5, 13], 'canonical_conjugator': [22, 58, 11, 27], 'canonical_generators': [[1, 5, 60, 41], [1, 10, 5, 51], [2, 37, 41, 38], [28, 24, 2, 25], [51, 60, 5, 11], [53, 19, 7, 10], [63, 54, 37, 40]], 'cm_discriminants': [], 'coarse_class': '65.4680.355.a', 'coarse_class_num': 1, 'coarse_index': 4680, 'coarse_label': '65.4680.355.a.1', 'coarse_level': 65, 'coarse_num': 1, 'conductor': [[5, 570], [13, 710]], 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[6, 2], [12, 1], [24, 2]], 'cusp_widths': [[65, 72]], 'cusps': 72, 'determinant_label': '1.1.1', 'dims': [3, 1, 2, 2, 2, 2, 2, 2, 3, 9, 6, 6, 6, 18, 1, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 9, 12, 12, 18, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 24, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 10, 10, 18], 'factorization': ['5.120.0-5.a.1.2', '13.78.3.a.1'], 'fine_num': 3, 'generators': [[21, 25, 10, 57], [21, 30, 35, 57], [56, 25, 35, 61]], 'genus': 355, 'genus_minus_rank': 272, 'has_obstruction': 1, 'index': 9360, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1], [13, 14, 1], [65, 14, 2], [65, 56, 1]], 'kummer_orbits': [[5, 1, 2], [5, 2, 1], [5, 4, 2], [13, 84, 1], [65, 168, 2], [65, 336, 1], [65, 672, 2]], 'label': '65.9360.355-65.a.1.3', 'lattice_labels': None, 'lattice_x': None, 'level': 65, 'level_is_squarefree': True, 'level_radical': 65, 'log_conductor': {'__RealLiteral__': 0, 'data': '2738.49365388512829612041', 'prec': 84}, 'models': None, 'mults': [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], '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': [[5, 1, 4], [5, 4, 5], [13, 168, 1], [65, 168, 4], [65, 672, 5]], 'parents': ['5.120.0-5.a.1.2', '65.1872.67-65.a.1.3', '65.1872.67-65.a.2.2'], 'parents_conj': None, 'pointless': True, 'power': False, 'psl2index': 4680, 'psl2label': '65.4680.355.a.1', 'psl2level': 65, 'q_gonality': None, 'q_gonality_bounds': [47, 78], 'qbar_gonality': None, 'qbar_gonality_bounds': [47, 78], 'rank': 83, 'rational_cusps': 0, 'reductions': ['5.120.0-5.a.1.2', '13.78.3.a.1'], 'scalar_label': '5.4.1', 'simple': False, 'sl2label': '65.9360.355-65.a.1.1', 'sl2level': 65, 'squarefree': False, 'trace_hash': 1434316930155624246, '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': None, 'Glabel': None, 'RSZBlabel': '65.4680.355.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [5, 13], 'canonical_conjugator': [22, 58, 11, 27], 'canonical_generators': [[1, 5, 60, 41], [1, 10, 5, 51], [2, 11, 28, 25], [2, 37, 41, 38], [12, 46, 58, 55], [14, 5, 60, 54], [28, 24, 2, 25]], 'cm_discriminants': [], 'coarse_class': '65.4680.355.a', 'coarse_class_num': 1, 'coarse_index': 4680, 'coarse_label': '65.4680.355.a.1', 'coarse_level': 65, 'coarse_num': 1, 'conductor': [[5, 570], [13, 710]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[6, 2], [12, 1], [24, 2]], 'cusp_widths': [[65, 72]], 'cusps': 72, 'determinant_label': '1.1.1', 'dims': [3, 1, 2, 2, 2, 2, 2, 2, 3, 9, 6, 6, 6, 18, 1, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 9, 12, 12, 18, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 24, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 10, 10, 18], 'factorization': ['5.60.0.a.1', '13.78.3.a.1'], 'fine_num': 0, 'generators': [[6, 15, 55, 52], [46, 55, 20, 58], [61, 10, 10, 17], [64, 20, 30, 43]], 'genus': 355, 'genus_minus_rank': 272, 'has_obstruction': 1, 'index': 4680, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1], [13, 14, 1], [65, 14, 2], [65, 56, 1]], 'kummer_orbits': [[5, 1, 2], [5, 2, 1], [5, 4, 2], [13, 84, 1], [65, 168, 2], [65, 336, 1], [65, 672, 2]], 'label': '65.4680.355.a.1', 'lattice_labels': None, 'lattice_x': None, 'level': 65, 'level_is_squarefree': True, 'level_radical': 65, 'log_conductor': {'__RealLiteral__': 0, 'data': '2738.49365388512829612041', 'prec': 84}, 'models': None, 'mults': [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'name': None, 'newforms': ['169.2.a.b', '845.2.a.a', '845.2.a.b', '845.2.a.c', '845.2.a.d', '845.2.a.e', '845.2.a.f', '845.2.a.g', '845.2.a.j', '845.2.a.o', '845.2.b.c', '845.2.b.d', '845.2.b.e', '845.2.b.h', '4225.2.a.b', '4225.2.a.ba', '4225.2.a.bd', '4225.2.a.bg', '4225.2.a.bh', '4225.2.a.bm', '4225.2.a.bn', '4225.2.a.bo', '4225.2.a.bp', '4225.2.a.bq', '4225.2.a.br', '4225.2.a.bs', '4225.2.a.bx', '4225.2.a.by', '4225.2.a.cb', '4225.2.a.g', '4225.2.a.i', '4225.2.a.j', '4225.2.a.p', '4225.2.a.r', '4225.2.a.s', '4225.2.a.t', '4225.2.a.u', '4225.2.a.w', '4225.2.a.x', '4225.2.a.y', '4225.2.a.z', '4225.2.b.a', '4225.2.b.bc', '4225.2.b.d', '4225.2.b.g', '4225.2.b.h', '4225.2.b.i', '4225.2.b.j', '4225.2.b.l', '4225.2.b.m', '4225.2.b.n', '4225.2.b.o', '4225.2.b.r', '4225.2.b.t', '4225.2.b.x', '4225.2.b.y', '4225.2.b.z'], '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': [2, 11, 31, 41, 101, 241, 331, 401], 'orbits': [[5, 2, 2], [5, 4, 1], [5, 8, 2], [13, 168, 1], [65, 336, 2], [65, 672, 1], [65, 1344, 2]], 'parents': ['5.60.0.a.1', '65.936.67.a.1', '65.936.67.a.2', '65.2340.175.a.1'], 'parents_conj': [[1, 0, 0, 1], [0, 19, 18, 42], [1, 0, 0, 1], [56, 10, 40, 28]], 'pointless': True, 'power': False, 'psl2index': 4680, 'psl2label': '65.4680.355.a.1', 'psl2level': 65, 'q_gonality': None, 'q_gonality_bounds': [47, 78], 'qbar_gonality': None, 'qbar_gonality_bounds': [47, 78], 'rank': 83, 'rational_cusps': 0, 'reductions': ['5.60.0.a.1', '13.78.3.a.1'], 'scalar_label': '5.2.1', 'simple': False, 'sl2label': '65.4680.355.a.1', 'sl2level': 65, 'squarefree': False, 'trace_hash': 1434316930155624246, 'traces': [3, 2, 2, 2, 12, 0, 10, -44, 14, -42, 32, 24, 42, 26, 4, 22, -152, -58, 0, 12, 44, -112, 62, -114, -6, 102, 26, 14, -58, 78, -2, -60, 40, -52, -154, 32, -18, 90, 48, -22, -112, 110, 12, 14, 44, -132, -388, -22, 64, -2, -62, -304, 242, 132, 40, 50, -250, 152, 102, 102, 58, -32, 42, -360, -118, 48, 332, -12, 134, -38, -12, -348, 102, -18, -16, 80, -82, 28, 402, -54, -180, 362, 252, -104, -92, 16, -66, 126, -78, 8, -66, -492, 134, 132, 68, 20, -218, 270, 92, 302, 154, 208, 90, -250, 80, 212, 204, -106, -220, 182, 56, -236, 176, 120, 212, 282, -52, 96, -168, -120, -778, -100, -12, -126, 452, -90, 178, -292, 98, -90, 72, 32, -28, -138, -258, 86, -234, -48, 28, -210, -688, 522, -88, 34, 206, -508, -436, 248, -168, 16, -90, 342, 172, 186, 146, -240, 200, -174, 174, 462, -6, -146, -46, 312, 250, 16, 752, 74]}
• modcurve 65.4680.355.a.1 does not appear in modcurve_models
• domain_label 65.4680.355.a.1 does not appear in modcurve_modelmaps
• curve_label 65.4680.355.a.1 does not appear in modcurve_points