Elliptic curve isogeny class data - 4864.i

Formats: - HTML - YAML - JSON - 2024-04-29T09:20:03.495458

• 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, 0, 0, 0, 0, 2, 0, -3, 0, -4, 0, 2, 0, 0, 0, 2, 0, 1, 0], 'aplist': [0, 0, 0, 2, -4, 2, 2, 1, -2, 2, 8, -10, 6, 4, 2, 2, -12, -8, -4, -12, 10, -4, -4, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 4864, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4864.i', 'trace_hash': 1999455649477777373}
• ec_padic •

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

  
  
  • id: 177688
    {'lmfdb_iso': '4864.i', 'p': 7, 'prec': 20, 'unit': 7763636512971105, 'val': 1}
  • id: 177686
    {'lmfdb_iso': '4864.i', 'p': 11, 'prec': 20, 'unit': 56355151816593668492, 'val': 1}
  • id: 177692
    {'lmfdb_iso': '4864.i', 'p': 13, 'prec': 20, 'unit': 426319271110512872737, 'val': 1}
  • id: 177694
    {'lmfdb_iso': '4864.i', 'p': 17, 'prec': 20, 'unit': 40004762629330301968440, 'val': 1}
  • id: 177699
    {'lmfdb_iso': '4864.i', 'p': 23, 'prec': 20, 'unit': 65994981029777920830671793, 'val': 1}
  • id: 177691
    {'lmfdb_iso': '4864.i', 'p': 29, 'prec': 20, 'unit': 166789445551339213657114264, 'val': 1}
  • id: 177704
    {'lmfdb_iso': '4864.i', 'p': 31, 'prec': 20, 'unit': 8561204598326561488595556682, 'val': 1}
  • id: 177687
    {'lmfdb_iso': '4864.i', 'p': 37, 'prec': 20, 'unit': 44218895457406600193070698914, 'val': 1}
  • id: 177689
    {'lmfdb_iso': '4864.i', 'p': 41, 'prec': 20, 'unit': 2206834864887212076383615377630, 'val': 1}
  • id: 177690
    {'lmfdb_iso': '4864.i', 'p': 43, 'prec': 20, 'unit': 2651663466851568304832586239251, 'val': 1}
  • id: 177702
    {'lmfdb_iso': '4864.i', 'p': 47, 'prec': 20, 'unit': 12901577934934513590302300409876, 'val': 1}
  • id: 177696
    {'lmfdb_iso': '4864.i', 'p': 53, 'prec': 20, 'unit': 568102543820911188882023677952842, 'val': 1}
  • id: 177697
    {'lmfdb_iso': '4864.i', 'p': 59, 'prec': 20, 'unit': 1811336460744250491376787600093939, 'val': 1}
  • id: 177703
    {'lmfdb_iso': '4864.i', 'p': 61, 'prec': 20, 'unit': 4461685032447032713212686762636346, 'val': 1}
  • id: 177695
    {'lmfdb_iso': '4864.i', 'p': 67, 'prec': 20, 'unit': 12804611448099227473814574889806960, 'val': 1}
  • id: 177701
    {'lmfdb_iso': '4864.i', 'p': 71, 'prec': 20, 'unit': 82152774172787677509961649472851547, 'val': 1}
  • id: 177698
    {'lmfdb_iso': '4864.i', 'p': 73, 'prec': 20, 'unit': 33056927574375783380977658030134648, 'val': 1}
  • id: 177693
    {'lmfdb_iso': '4864.i', 'p': 79, 'prec': 20, 'unit': 672246935880804350502922752186835448, 'val': 1}
  • id: 177685
    {'lmfdb_iso': '4864.i', 'p': 83, 'prec': 20, 'unit': 1360554156433199154003674945273027325, 'val': 1}
  • id: 177700
    {'lmfdb_iso': '4864.i', 'p': 89, 'prec': 20, 'unit': 10902871924080457102269727886123560472, 'val': 1}
  • id: 177684
    {'lmfdb_iso': '4864.i', 'p': 97, 'prec': 20, 'unit': 16919914716712538496587292190280590352, '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[]

  
  
  • id: 30127
    {'Ciso': '4864m', 'Clabel': '4864m2', 'Cnumber': 2, 'abc_quality': 1.0520520310366914, 'absD': 622592, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 152, 'ainvs': [0, 0, 0, -200, 1088], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4864, 'degree': 576, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.047962879954047536334562979786', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [27000000, 19], 'lmfdb_iso': '4864.i', 'lmfdb_label': '4864.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -50, -136], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '76.6.0.?', '152.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6434786138040040814745794057', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81847109574588410043697717204', 'prec': 107}, 'szpiro_ratio': 3.2402588950601596, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 30126
    {'Ciso': '4864m', 'Clabel': '4864m1', 'Cnumber': 1, 'abc_quality': 0.9748760048854604, 'absD': 184832, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 152, 'ainvs': [0, 0, 0, -10, 24], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4864, 'degree': 288, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29861071032592511837405308094', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [-216000, 361], 'lmfdb_iso': '4864.i', 'lmfdb_label': '4864.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -40, -192], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '76.6.0.?', '152.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3217393069020020407372897029', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81847109574588410043697717203', 'prec': 107}, 'szpiro_ratio': 2.3415961577409568, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}