Elliptic curve isogeny class data - 51376.s

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• 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, 1, 0, -1, 0, -1, 0, -2, 0, 0, 0, 0, 0, -1, 0, -3, 0, -1, 0], 'aplist': [0, 1, -1, -1, 0, 0, -3, -1, -6, -8, -8, 5, 2, 1, 3, -2, -10, -14, -4, 3, -16, -4, 16, -8, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 51376, 'isogeny_matrix': [[1]], 'lmfdb_iso': '51376.s', 'trace_hash': 714298340949436262}
• ec_padic •

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

  
  
  • id: 2584461
    {'lmfdb_iso': '51376.s', 'p': 5, 'prec': 20, 'unit': 3890632951517, 'val': 2}
  • id: 2584462
    {'lmfdb_iso': '51376.s', 'p': 7, 'prec': 20, 'unit': 3522215342765243, 'val': 2}
  • id: 2584468
    {'lmfdb_iso': '51376.s', 'p': 17, 'prec': 20, 'unit': 12674050635024235399120, 'val': 2}
  • id: 2584473
    {'lmfdb_iso': '51376.s', 'p': 23, 'prec': 20, 'unit': 50411248208364176612638776, 'val': 2}
  • id: 2584466
    {'lmfdb_iso': '51376.s', 'p': 29, 'prec': 20, 'unit': 628424567332418420050575084, 'val': 2}
  • id: 2584463
    {'lmfdb_iso': '51376.s', 'p': 31, 'prec': 20, 'unit': 648483707828432767125169528, 'val': 3}
  • id: 2584478
    {'lmfdb_iso': '51376.s', 'p': 37, 'prec': 20, 'unit': 253995845148098650601933478345, 'val': 2}
  • id: 2584464
    {'lmfdb_iso': '51376.s', 'p': 41, 'prec': 20, 'unit': 1412370407675100895291946106049, 'val': 2}
  • id: 2584465
    {'lmfdb_iso': '51376.s', 'p': 43, 'prec': 20, 'unit': 18889613102341091384214659174, 'val': 0}
  • id: 2584476
    {'lmfdb_iso': '51376.s', 'p': 47, 'prec': 20, 'unit': 25526719928813586508361246753380, 'val': 2}
  • id: 2584470
    {'lmfdb_iso': '51376.s', 'p': 53, 'prec': 20, 'unit': 364399326258787865244165670083239, 'val': 2}
  • id: 2584471
    {'lmfdb_iso': '51376.s', 'p': 59, 'prec': 20, 'unit': 70763712189865672134038848895929, 'val': 3}
  • id: 2584477
    {'lmfdb_iso': '51376.s', 'p': 61, 'prec': 20, 'unit': 7744561536957962711744028603186222, 'val': 2}
  • id: 2584460
    {'lmfdb_iso': '51376.s', 'p': 67, 'prec': 20, 'unit': 26688907905139662361781348124406282, 'val': 2}
  • id: 2584475
    {'lmfdb_iso': '51376.s', 'p': 71, 'prec': 20, 'unit': 106781314544975253174536727644233430, 'val': 2}
  • id: 2584472
    {'lmfdb_iso': '51376.s', 'p': 73, 'prec': 20, 'unit': 98602252940091168871234503893310740, 'val': 2}
  • id: 2584467
    {'lmfdb_iso': '51376.s', 'p': 79, 'prec': 20, 'unit': 673160575591314263244547217120958305, 'val': 2}
  • id: 2584469
    {'lmfdb_iso': '51376.s', 'p': 83, 'prec': 20, 'unit': 1997380624685408995838527624823740254, 'val': 2}
  • id: 2584474
    {'lmfdb_iso': '51376.s', 'p': 89, 'prec': 20, 'unit': 9563227987466601312800588856372092125, 'val': 2}
  • id: 2584459
    {'lmfdb_iso': '51376.s', 'p': 97, 'prec': 20, 'unit': 37283648787785850296920127881419648588, 'val': 2}
• 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': '51376n', 'Clabel': '51376n1', 'Cnumber': 1, 'abc_quality': 0.860970828213973, 'absD': 2969071076900864, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 104, 'ainvs': [0, 1, 0, 33744, -1075372], 'analytic_rank': 2, 'bad_primes': [2, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 51376, 'degree': 161280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6574441033057873871828260819', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [214921799, 150176], 'lmfdb_iso': '51376.s', 'lmfdb_label': '51376.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 13, 13], 'min_quad_twist_disc': -52, 'modell_images': [], 'modm_images': ['104.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.5191480733166642817147091216', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [13, 98, 304], [19, 20, 2704]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31817775598492629026114976034', 'prec': 107}, 'szpiro_ratio': 3.954414869198532, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}