Modular curve data - 80.48.0-40.bn.1.7

Formats: - HTML - YAML - JSON - 2024-06-05T00:19:28.514001

• 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': '8G0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 10, 1], [1, 0, 40, 1], [1, 8, 6, 35], [3, 8, 9, 3], [3, 8, 9, 23], [21, 0, 10, 21], [39, 40, 40, 39], [41, 0, 0, 1], [69, 0, 70, 69], [71, 72, 48, 47], [79, 40, 0, 79], [79, 72, 0, 79], [79, 72, 79, 55]], 'cm_discriminants': [], 'coarse_class': '40.24.0.bn', 'coarse_class_num': 40, 'coarse_index': 24, 'coarse_label': '40.24.0.bn.1', 'coarse_level': 40, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 7, 'generators': [[1, 64, 1, 57], [47, 16, 50, 61], [53, 16, 20, 37], [61, 40, 42, 43], [77, 24, 62, 55]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [20, 6, 2], [20, 24, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1], [80, 12, 2], [80, 24, 1], [80, 96, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [20, 24, 2], [20, 96, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1], [80, 192, 2], [80, 384, 1], [80, 1536, 1]], 'label': '80.48.0-40.bn.1.7', 'lattice_labels': None, 'lattice_x': None, 'level': 80, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, '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], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [20, 48, 2], [20, 192, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [80, 192, 2], [80, 384, 1], [80, 768, 1], [80, 3072, 1]], 'parents': ['16.24.0-8.n.1.8', '80.24.0-8.n.1.7'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '20.12.0.h.1', '40.24.0.bn.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 16, 'squarefree': None, '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': '8G0', 'Glabel': None, 'RSZBlabel': '40.24.0.144', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [1, 30, 0, 11], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 10, 1], [1, 8, 0, 1], [1, 8, 1, 25], [1, 8, 6, 35], [3, 8, 9, 3], [3, 8, 9, 23], [9, 8, 32, 33], [11, 0, 10, 11], [21, 0, 10, 21]], 'cm_discriminants': [], 'coarse_class': '40.24.0.bn', 'coarse_class_num': 40, 'coarse_index': 24, 'coarse_label': '40.24.0.bn.1', 'coarse_level': 40, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[7, 24, 35, 13], [9, 24, 2, 33], [29, 28, 10, 27], [33, 20, 28, 19], [39, 0, 24, 19]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [20, 6, 2], [20, 24, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [20, 24, 2], [20, 96, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1]], 'label': '40.24.0.bn.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '20.2.0.a.1', '20.6.0.a.1', '20.6.0.e.1', '20.12.0.h.1', '40.12.0.z.1', '40.24.0.bn.1'], 'lattice_x': [2305, 3695, 6305, 8746, 915, 1085, 3525, 3525, 5966, 5966], 'level': 40, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 44, 'num_known_degree1_noncusp_points': 44, 'num_known_degree1_points': 45, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [20, 48, 2], [20, 192, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1]], 'parents': ['8.12.0.n.1', '20.12.0.h.1', '40.12.0.z.1'], 'parents_conj': [[14, 39, 11, 39], [1, 0, 0, 1], [21, 6, 14, 23]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '20.12.0.h.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
• modcurve 40.24.0.bn.1 does not appear in modcurve_models
• 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': ['(5*x+2*y)^24*(2560000*x^8+5120000*x^7*y+2560000*x^6*y^2-640000*x^5*y^3-1046400*x^4*y^4-406400*x^3*y^5-75200*x^2*y^6-6800*x*y^7-239*y^8)^3', 'y^2*(4*x+y)^2*(5*x+2*y)^24*(20*x^2+10*x*y+y^2)^2*(40*x^2+20*x*y+3*y^2)^8'], 'degree': 24, 'domain_label': '40.24.0.bn.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-2^2', '5'], '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: 19612
    {'Elabel': '1995.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1995, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.4917346109254, 'jinv': '19162556947522799/68270261146605', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 2552
    {'Elabel': '120.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.8156850169144, 'jinv': '54607676/32805', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 331
    {'Elabel': '15.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.7156122581208, 'jinv': '-147281603041/215233605', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 1848446
    {'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-2/5:1', '-1/4:1']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': True, 'degree': 1, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 10286
    {'Elabel': '840.f5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 19.9013961533526, 'jinv': '439608956/259416045', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 22708
    {'Elabel': '2310.n6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.8798086252069, 'jinv': '76786760064334319/91531319653620', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 23179
    {'Elabel': '2370.j5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.6654206919568, 'jinv': '-1364971759049420798401/231293979972486793620', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 35490
    {'Elabel': '4305.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4305, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.2768114189406, 'jinv': '2515633010871881261759/2513905032937467645', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 38159
    {'Elabel': '4785.c6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.3186918800714, 'jinv': '323731829117535119/2723841718572645', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 38800
    {'Elabel': '4830.bj3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4830, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.975000099137, 'jinv': '-302765284673144739899429761/731344538939408411220', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 51677
    {'Elabel': '7095.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7095, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.2125908951016, 'jinv': '7032545021242745074172159/140345481884305162150125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 63443
    {'Elabel': '9240.bf6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.7681327105039, 'jinv': '10191978981888338876/8372623608979245', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 79668
    {'Elabel': '12810.o6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 12810, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.7796987576711, 'jinv': '249050708870707455925585679/12116692853202597701202000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 107454
    {'Elabel': '19065.e6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19065, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.7753376237582, 'jinv': '560486944623504466079/345308091533337645', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 134936
    {'Elabel': '26040.u5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 26040, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.0954126625796, 'jinv': '-2098296257949902142724/29809713104635960125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 151636
    {'Elabel': '30360.q6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 30360, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.7961428569933, 'jinv': '1293519065604476/426403314855045', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 184976
    {'Elabel': '39480.l5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 39480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bn.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.5000265443649, 'jinv': '-425597843253891409924/52503887089183005', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
  • id: 189124
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  • id: 1032535
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