Elliptic curve isogeny class data - 3825.k

Formats: - HTML - YAML - JSON - 2025-02-05T08:36:44.916877

• 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, 0, -1, 0, 0, -1, -3, 0, 0, 4, 0, 1, -1, 0, -1, 1, 0, -6, 0], 'aplist': [1, 0, 0, -1, 4, 1, 1, -6, 0, 0, -7, 4, 2, -4, -6, 11, -8, 10, -8, -7, -4, -11, -8, 6, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 3825, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3825.k', 'trace_hash': 1103727709689545110}
• ec_padic •

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

  
  
  • id: 131686
    {'lmfdb_iso': '3825.k', 'p': 7, 'prec': 20, 'unit': 10188712458737913, 'val': 1}
  • id: 131691
    {'lmfdb_iso': '3825.k', 'p': 11, 'prec': 20, 'unit': 53774067894170673612, 'val': 1}
  • id: 131689
    {'lmfdb_iso': '3825.k', 'p': 13, 'prec': 20, 'unit': 13923737147286947193968, 'val': -1}
  • id: 131693
    {'lmfdb_iso': '3825.k', 'p': 19, 'prec': 20, 'unit': 450874435688398009816022, 'val': 1}
  • id: 131700
    {'lmfdb_iso': '3825.k', 'p': 31, 'prec': 20, 'unit': 1269292763693479227464518635, 'val': 1}
  • id: 131685
    {'lmfdb_iso': '3825.k', 'p': 37, 'prec': 20, 'unit': 515417717602464254146132907349, 'val': 1}
  • id: 131687
    {'lmfdb_iso': '3825.k', 'p': 41, 'prec': 20, 'unit': 63012152653377456620285927177, 'val': 1}
  • id: 131688
    {'lmfdb_iso': '3825.k', 'p': 43, 'prec': 20, 'unit': 7509795912566886823306931457820, 'val': 1}
  • id: 131698
    {'lmfdb_iso': '3825.k', 'p': 47, 'prec': 20, 'unit': 45149905973655815196657401256078, 'val': 1}
  • id: 131694
    {'lmfdb_iso': '3825.k', 'p': 53, 'prec': 20, 'unit': 251832035406180157546648504111667, 'val': 1}
  • id: 131692
    {'lmfdb_iso': '3825.k', 'p': 59, 'prec': 20, 'unit': 4022342193363934166271870003574754, 'val': 1}
  • id: 131699
    {'lmfdb_iso': '3825.k', 'p': 61, 'prec': 20, 'unit': 5510843155278691077403225160665985, 'val': 1}
  • id: 131684
    {'lmfdb_iso': '3825.k', 'p': 67, 'prec': 20, 'unit': 27071056827309954040103352861032562, 'val': 1}
  • id: 131697
    {'lmfdb_iso': '3825.k', 'p': 71, 'prec': 20, 'unit': 74755300263914047224250767725232875, 'val': 1}
  • id: 131695
    {'lmfdb_iso': '3825.k', 'p': 73, 'prec': 20, 'unit': 138508766836592131261322470319392776, 'val': 1}
  • id: 131690
    {'lmfdb_iso': '3825.k', 'p': 79, 'prec': 20, 'unit': 309467790377564911379268735448251874, 'val': 1}
  • id: 131683
    {'lmfdb_iso': '3825.k', 'p': 83, 'prec': 20, 'unit': 1731501777067909738382863293461721029, 'val': 1}
  • id: 131696
    {'lmfdb_iso': '3825.k', 'p': 89, 'prec': 20, 'unit': 7266114414815702967867529239591112926, 'val': 1}
  • id: 131682
    {'lmfdb_iso': '3825.k', 'p': 97, 'prec': 20, 'unit': 28742566697287126887371288159139449588, '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': '3825g', 'Clabel': '3825g1', 'Cnumber': 1, 'abc_quality': 0.7662665989164665, 'absD': 309825, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 68, 'ainvs': [1, -1, 0, -27, -54], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3825, 'degree': 360, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.21488609391573548591060855638', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [-121945, 17], 'lmfdb_iso': '3825.k', 'lmfdb_label': '3825.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, 2], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['68.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1079068531155015719391070713', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 425], [5, 10, 153], [17, 18, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0324318903221403940416910637', 'prec': 103}, 'szpiro_ratio': 2.635092919573743, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}