Elliptic curve isogeny class data - 4021.a

Formats: - HTML - YAML - JSON - 2024-05-26T13:48:58.049026

• 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, -2, 1, 2, 3, -2, 4, 0, -2, -6, -2, 2, -7, -8, 3, -4, 2, 4, -6, 6], 'aplist': [-2, 1, 3, 4, -2, -7, 2, -6, 2, 0, -8, 5, 2, -10, 4, -5, -7, 7, -9, -3, -7, 0, -12, 6, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 4021, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4021.a', 'trace_hash': 1213199942499333723}
• ec_padic •

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

  
  
  • id: 140830
    {'lmfdb_iso': '4021.a', 'p': 5, 'prec': 20, 'unit': 6512467686679, 'val': 1}
  • id: 140831
    {'lmfdb_iso': '4021.a', 'p': 7, 'prec': 20, 'unit': 4256882061090283, 'val': 1}
  • id: 140829
    {'lmfdb_iso': '4021.a', 'p': 11, 'prec': 20, 'unit': 33563755246475219474, 'val': 1}
  • id: 140835
    {'lmfdb_iso': '4021.a', 'p': 13, 'prec': 20, 'unit': 457441563017209715600, 'val': 1}
  • id: 140837
    {'lmfdb_iso': '4021.a', 'p': 17, 'prec': 20, 'unit': 85590363538470590907345, 'val': 1}
  • id: 140838
    {'lmfdb_iso': '4021.a', 'p': 19, 'prec': 20, 'unit': 684098974754126819711193, 'val': 1}
  • id: 140841
    {'lmfdb_iso': '4021.a', 'p': 23, 'prec': 20, 'unit': 25658858686020685178083563, 'val': 1}
  • id: 140832
    {'lmfdb_iso': '4021.a', 'p': 31, 'prec': 20, 'unit': 20490082491889205084807451325, 'val': 1}
  • id: 140847
    {'lmfdb_iso': '4021.a', 'p': 37, 'prec': 20, 'unit': 423360972751449607288341590406, 'val': 1}
  • id: 140833
    {'lmfdb_iso': '4021.a', 'p': 41, 'prec': 20, 'unit': 3207925571178768003652197695921, 'val': 1}
  • id: 140834
    {'lmfdb_iso': '4021.a', 'p': 43, 'prec': 20, 'unit': 1920064474560912186590088579276, 'val': 1}
  • id: 140836
    {'lmfdb_iso': '4021.a', 'p': 47, 'prec': 20, 'unit': 3325909350779423391141027114338, 'val': 1}
  • id: 140839
    {'lmfdb_iso': '4021.a', 'p': 53, 'prec': 20, 'unit': 414628385521066062152304771434913, 'val': 1}
  • id: 140844
    {'lmfdb_iso': '4021.a', 'p': 59, 'prec': 20, 'unit': 2118856230930467709703864105477957, 'val': 1}
  • id: 140845
    {'lmfdb_iso': '4021.a', 'p': 61, 'prec': 20, 'unit': 4265924721785215288586837690555937, 'val': 1}
  • id: 140828
    {'lmfdb_iso': '4021.a', 'p': 67, 'prec': 20, 'unit': 39281683814756990787315865790834795, 'val': 1}
  • id: 140843
    {'lmfdb_iso': '4021.a', 'p': 71, 'prec': 20, 'unit': 108879945389596874582628111267956266, 'val': 1}
  • id: 140840
    {'lmfdb_iso': '4021.a', 'p': 73, 'prec': 20, 'unit': 26053111352980754549922391724778080, 'val': 1}
  • id: 140846
    {'lmfdb_iso': '4021.a', 'p': 83, 'prec': 20, 'unit': 2502614233184035111631258845202845252, 'val': 1}
  • id: 140842
    {'lmfdb_iso': '4021.a', 'p': 89, 'prec': 20, 'unit': 10418329665986085968384315301241186740, 'val': 1}
  • id: 140827
    {'lmfdb_iso': '4021.a', 'p': 97, 'prec': 20, 'unit': 32452226836649819200865190524002152829, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4021a', 'Clabel': '4021a1', 'Cnumber': 1, 'abc_quality': 0.6643209300811407, 'absD': 4021, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8042, 'ainvs': [0, 1, 1, -4, 0], 'analytic_rank': 1, 'bad_primes': [4021], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4021, 'degree': 422, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61292792840390312846181485146', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [8998912, 4021], 'lmfdb_iso': '4021.a', 'lmfdb_label': '4021.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -4, 0], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['8042.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 1, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.69415744002874413627530614213', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61292792840390312846181485146', 'prec': 107}, 'szpiro_ratio': 1.9293966274612104, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}