Elliptic curve isogeny class data - 6050.b

Formats: - HTML - YAML - JSON - 2025-10-05T22:22:07.025137

• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, -3, 1, 0, 3, 1, -1, 6, 0, 0, -3, 0, -1, 0, 1, 5, -6, 7, 0], 'aplist': [-1, -3, 0, 1, 0, 0, 5, 7, -8, -3, -5, -1, 8, -10, 0, -1, 12, -5, -4, -7, -2, 4, 0, -7, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 6050, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6050.b', 'trace_hash': 54257461186704875}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 234377
    {'lmfdb_iso': '6050.b', 'p': 7, 'prec': 20, 'unit': 71415739801119769, 'val': -1}
  • id: 234382
    {'lmfdb_iso': '6050.b', 'p': 17, 'prec': 20, 'unit': 163876542162101541330142, 'val': 1}
  • id: 234383
    {'lmfdb_iso': '6050.b', 'p': 19, 'prec': 20, 'unit': 581515972610536148373939, 'val': 1}
  • id: 234386
    {'lmfdb_iso': '6050.b', 'p': 23, 'prec': 20, 'unit': 56760002414717353873123090, 'val': 1}
  • id: 234380
    {'lmfdb_iso': '6050.b', 'p': 29, 'prec': 20, 'unit': 4183742776589601164342829497, 'val': 1}
  • id: 234391
    {'lmfdb_iso': '6050.b', 'p': 31, 'prec': 20, 'unit': 18752801704690849218648992921, 'val': 1}
  • id: 234376
    {'lmfdb_iso': '6050.b', 'p': 37, 'prec': 20, 'unit': 408517083813756850456060947311, 'val': 1}
  • id: 234378
    {'lmfdb_iso': '6050.b', 'p': 41, 'prec': 20, 'unit': 526966196556594916547180974091, 'val': 1}
  • id: 234379
    {'lmfdb_iso': '6050.b', 'p': 43, 'prec': 20, 'unit': 7156535462788979733866004111940, 'val': 1}
  • id: 234384
    {'lmfdb_iso': '6050.b', 'p': 53, 'prec': 20, 'unit': 28934354928211486071756698952581, 'val': 1}
  • id: 234389
    {'lmfdb_iso': '6050.b', 'p': 59, 'prec': 20, 'unit': 1860067627673585800078784388526631, 'val': 1}
  • id: 234390
    {'lmfdb_iso': '6050.b', 'p': 61, 'prec': 20, 'unit': 8225394699908411425860627191621475, 'val': 1}
  • id: 234375
    {'lmfdb_iso': '6050.b', 'p': 67, 'prec': 20, 'unit': 1950889974570687660524161624392107, 'val': 1}
  • id: 234388
    {'lmfdb_iso': '6050.b', 'p': 71, 'prec': 20, 'unit': 121585706013047006014267348638938457, 'val': 1}
  • id: 234385
    {'lmfdb_iso': '6050.b', 'p': 73, 'prec': 20, 'unit': 98681457708418522343354968803869450, 'val': 1}
  • id: 234381
    {'lmfdb_iso': '6050.b', 'p': 79, 'prec': 20, 'unit': 92275670375094685861757741794694642, 'val': 1}
  • id: 234387
    {'lmfdb_iso': '6050.b', 'p': 89, 'prec': 20, 'unit': 5837114054514489480448413333827615508, 'val': 1}
  • id: 234374
    {'lmfdb_iso': '6050.b', 'p': 97, 'prec': 20, 'unit': 24551555540825257702826094629986793081, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6050t', 'Clabel': '6050t1', 'Cnumber': 1, 'abc_quality': 0.9950330749823867, 'absD': 4988715776000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 440, 'ainvs': [1, -1, 0, -1777, -110819], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6050, 'degree': 21120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1193350581025982158009968441', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-2803221, 22528], 'lmfdb_iso': '6050.b', 'lmfdb_label': '6050.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -15, 87], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['440.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4390420841349595075172646915', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [5, 10, 242], [11, 72, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48197205640511214988016477819', 'prec': 107}, 'szpiro_ratio': 4.221777886267701, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}