Elliptic curve isogeny class data - 8624.b

Formats: - HTML - YAML - JSON - 2025-10-19T21:22:12.494988

• 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, 0, -3, 0, 2, 0, 0, 0, 6, 0, 1, 0, -7, 0, -6, 0, 2, 0, 0, 0], 'aplist': [0, -3, 2, 0, 1, -7, 2, 0, 8, -5, -4, 4, 4, 8, -2, -6, -3, 1, -9, 2, 4, -9, -6, 6, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 8624, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8624.b', 'trace_hash': 1844497012953239823}
• ec_padic •

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

  
  
  • id: 357355
    {'lmfdb_iso': '8624.b', 'p': 5, 'prec': 20, 'unit': 1962742834074, 'val': 2}
  • id: 357361
    {'lmfdb_iso': '8624.b', 'p': 13, 'prec': 20, 'unit': 1040950982117276322684, 'val': 1}
  • id: 357363
    {'lmfdb_iso': '8624.b', 'p': 17, 'prec': 20, 'unit': 126271000968179471688386, 'val': 1}
  • id: 357368
    {'lmfdb_iso': '8624.b', 'p': 23, 'prec': 20, 'unit': 44148092672107174018531247, 'val': 1}
  • id: 357360
    {'lmfdb_iso': '8624.b', 'p': 29, 'prec': 20, 'unit': 2571632119923954665326171749, 'val': 1}
  • id: 357357
    {'lmfdb_iso': '8624.b', 'p': 31, 'prec': 20, 'unit': 14430135508131377021454612547, 'val': 1}
  • id: 357372
    {'lmfdb_iso': '8624.b', 'p': 37, 'prec': 20, 'unit': 143192812120984915965269916858, 'val': 1}
  • id: 357358
    {'lmfdb_iso': '8624.b', 'p': 41, 'prec': 20, 'unit': 3028442537205880607332626892813, 'val': 1}
  • id: 357359
    {'lmfdb_iso': '8624.b', 'p': 43, 'prec': 20, 'unit': 6389249823628647396184320135514, 'val': 1}
  • id: 357370
    {'lmfdb_iso': '8624.b', 'p': 47, 'prec': 20, 'unit': 50780679542088637416062885842208, 'val': 1}
  • id: 357365
    {'lmfdb_iso': '8624.b', 'p': 53, 'prec': 20, 'unit': 447712628500840228888311656294828, 'val': 1}
  • id: 357366
    {'lmfdb_iso': '8624.b', 'p': 59, 'prec': 20, 'unit': 2319374405169930898858999597005913, 'val': 1}
  • id: 357371
    {'lmfdb_iso': '8624.b', 'p': 61, 'prec': 20, 'unit': 307344817268992277250518491760854352, 'val': -1}
  • id: 357354
    {'lmfdb_iso': '8624.b', 'p': 67, 'prec': 20, 'unit': 37244697867737113073746090514092284, 'val': 1}
  • id: 357356
    {'lmfdb_iso': '8624.b', 'p': 71, 'prec': 20, 'unit': 109319803735945369678287021962674641, 'val': 1}
  • id: 357367
    {'lmfdb_iso': '8624.b', 'p': 73, 'prec': 20, 'unit': 226381917754720638533644303675500994, 'val': 1}
  • id: 357362
    {'lmfdb_iso': '8624.b', 'p': 79, 'prec': 20, 'unit': 389131025638858211800901483112727262, 'val': 1}
  • id: 357364
    {'lmfdb_iso': '8624.b', 'p': 83, 'prec': 20, 'unit': 2740683691894170802722291406824414839, 'val': 1}
  • id: 357369
    {'lmfdb_iso': '8624.b', 'p': 89, 'prec': 20, 'unit': 8046987975017808066380748164392087504, 'val': 1}
  • id: 357353
    {'lmfdb_iso': '8624.b', 'p': 97, 'prec': 20, 'unit': 23777148721822120131777725261706086743, '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': '8624p', 'Clabel': '8624p1', 'Cnumber': 1, 'abc_quality': 0.8278915366099783, 'absD': 2077910990848, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 88, 'ainvs': [0, 0, 0, -4459, -91238], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8624, 'degree': 24192, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0780582339491407920276392513', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [415233, 88], 'lmfdb_iso': '8624.b', 'lmfdb_label': '8624.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -3], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['88.2.0.?'], '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': '0.80192178272174843482821456054', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 539], [7, 26, 176], [11, 12, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91236237931434672079316136579', 'prec': 107}, 'szpiro_ratio': 4.06316553224148, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}