Elliptic curve isogeny class data - 68450.bd

Formats: - HTML - YAML - JSON - 2025-10-14T15:43:44.684653

• 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, -1, 1, 0, -1, 4, 1, -2, 0, 3, -1, -6, 4, 0, 1, -3, -2, 3, 0], 'aplist': [1, -1, 0, 4, 3, -6, -3, 3, -2, 0, 0, 0, -3, 4, 4, -2, 12, -12, 9, -2, -9, 2, -7, 3, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 68450, 'isogeny_matrix': [[1]], 'lmfdb_iso': '68450.bd', 'trace_hash': 894591420220486207}
• ec_padic •

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

  
  
  • id: 3501731
    {'lmfdb_iso': '68450.bd', 'p': 7, 'prec': 20, 'unit': 7834727729420973, 'val': 1}
  • id: 3501736
    {'lmfdb_iso': '68450.bd', 'p': 11, 'prec': 20, 'unit': 3272815737625686973, 'val': 2}
  • id: 3501734
    {'lmfdb_iso': '68450.bd', 'p': 13, 'prec': 20, 'unit': 623130868557566802801, 'val': 1}
  • id: 3501737
    {'lmfdb_iso': '68450.bd', 'p': 17, 'prec': 20, 'unit': 33483002153469896859784, 'val': 1}
  • id: 3501738
    {'lmfdb_iso': '68450.bd', 'p': 19, 'prec': 20, 'unit': 1271077318664103624215732, 'val': 1}
  • id: 3501742
    {'lmfdb_iso': '68450.bd', 'p': 23, 'prec': 20, 'unit': 64477007691539177356583601, 'val': 1}
  • id: 3501732
    {'lmfdb_iso': '68450.bd', 'p': 41, 'prec': 20, 'unit': 2428827404401327337329253875283, 'val': 1}
  • id: 3501733
    {'lmfdb_iso': '68450.bd', 'p': 43, 'prec': 20, 'unit': 10299770921685813811076518228681, 'val': 1}
  • id: 3501745
    {'lmfdb_iso': '68450.bd', 'p': 47, 'prec': 20, 'unit': 40590156258994025255700653915837, 'val': 1}
  • id: 3501739
    {'lmfdb_iso': '68450.bd', 'p': 53, 'prec': 20, 'unit': 278742055250661652888185530413974, 'val': 1}
  • id: 3501740
    {'lmfdb_iso': '68450.bd', 'p': 59, 'prec': 20, 'unit': 1696663643959294588666413245255966, 'val': 1}
  • id: 3501746
    {'lmfdb_iso': '68450.bd', 'p': 61, 'prec': 20, 'unit': 995368427898872979356206028100219, 'val': 1}
  • id: 3501730
    {'lmfdb_iso': '68450.bd', 'p': 67, 'prec': 20, 'unit': 3308764697908385393151792674229970, 'val': 1}
  • id: 3501744
    {'lmfdb_iso': '68450.bd', 'p': 71, 'prec': 20, 'unit': 11660532465804159515491111751026775, 'val': 1}
  • id: 3501741
    {'lmfdb_iso': '68450.bd', 'p': 73, 'prec': 20, 'unit': 20871147930116408275748766214295307, 'val': 1}
  • id: 3501735
    {'lmfdb_iso': '68450.bd', 'p': 79, 'prec': 20, 'unit': 673035300921698909724081370250053322, 'val': 1}
  • id: 3501729
    {'lmfdb_iso': '68450.bd', 'p': 83, 'prec': 20, 'unit': 1336729798818449203055674075233956478, 'val': 1}
  • id: 3501743
    {'lmfdb_iso': '68450.bd', 'p': 89, 'prec': 20, 'unit': 1921101753542068437289266095055077706, 'val': 1}
  • id: 3501728
    {'lmfdb_iso': '68450.bd', 'p': 97, 'prec': 20, 'unit': 36511273551472888300735567418212258791, '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': '68450bm', 'Clabel': '68450bm1', 'Cnumber': 1, 'abc_quality': 0.8516436474752735, 'absD': 2744124573375781250, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, 1, 1, -103388, -80763969], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 68450, 'degree': 1313280, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2187780533169473227570530539', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1], 'jinv': [-121945, 2738], 'lmfdb_iso': '68450.bd', 'lmfdb_label': '68450.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, -13], 'min_quad_twist_disc': 185, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.699184556544782793208151434', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 34225], [5, 14, 2738], [37, 722, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65963951129456514916083433710', 'prec': 107}, 'szpiro_ratio': 4.485072267233773, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}