Elliptic curve isogeny class data - 4160.n

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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, 0, 0, 1, 0, 2, 0, -3, 0, -2, 0, 1, 0, 0, 0, -2, 0, 2, 0], 'aplist': [0, 0, 1, 2, -2, 1, -2, 2, -4, -2, -6, -2, 2, 4, -6, -6, 14, -6, -10, 2, -14, -4, 14, -14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 4160, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4160.n', 'trace_hash': 1580899274476604890}
• ec_padic •

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

  
  
  • id: 146623
    {'lmfdb_iso': '4160.n', 'p': 7, 'prec': 20, 'unit': 334421511777882, 'val': 1}
  • id: 146628
    {'lmfdb_iso': '4160.n', 'p': 11, 'prec': 20, 'unit': 26599393446825577685, 'val': 1}
  • id: 146629
    {'lmfdb_iso': '4160.n', 'p': 17, 'prec': 20, 'unit': 117640108292501112014776, 'val': 1}
  • id: 146630
    {'lmfdb_iso': '4160.n', 'p': 19, 'prec': 20, 'unit': 1664520456552265642679559, 'val': 1}
  • id: 146634
    {'lmfdb_iso': '4160.n', 'p': 23, 'prec': 20, 'unit': 18755010486610682526598898, 'val': 1}
  • id: 146626
    {'lmfdb_iso': '4160.n', 'p': 29, 'prec': 20, 'unit': 1078969377022933745593866561, 'val': 1}
  • id: 146639
    {'lmfdb_iso': '4160.n', 'p': 31, 'prec': 20, 'unit': 15640261142029126834119124113, 'val': 1}
  • id: 146622
    {'lmfdb_iso': '4160.n', 'p': 37, 'prec': 20, 'unit': 570432197393088967289555948416, 'val': 1}
  • id: 146624
    {'lmfdb_iso': '4160.n', 'p': 41, 'prec': 20, 'unit': 1302756786845958449908848595068, 'val': 1}
  • id: 146625
    {'lmfdb_iso': '4160.n', 'p': 43, 'prec': 20, 'unit': 1055827066548421704547400413104, 'val': 1}
  • id: 146637
    {'lmfdb_iso': '4160.n', 'p': 47, 'prec': 20, 'unit': 2833413165256723250849098375319, 'val': 1}
  • id: 146631
    {'lmfdb_iso': '4160.n', 'p': 53, 'prec': 20, 'unit': 10719256405890874340270089989217, 'val': 1}
  • id: 146632
    {'lmfdb_iso': '4160.n', 'p': 59, 'prec': 20, 'unit': 1765827502143414149874244897419261, 'val': 1}
  • id: 146638
    {'lmfdb_iso': '4160.n', 'p': 61, 'prec': 20, 'unit': 8164525260880052093470579587659410, 'val': 1}
  • id: 146621
    {'lmfdb_iso': '4160.n', 'p': 67, 'prec': 20, 'unit': 15138013259092166622825547410570580, 'val': 1}
  • id: 146636
    {'lmfdb_iso': '4160.n', 'p': 71, 'prec': 20, 'unit': 55558933995013560535808618014984239, 'val': 1}
  • id: 146633
    {'lmfdb_iso': '4160.n', 'p': 73, 'prec': 20, 'unit': 44778306429236737889993688998215121, 'val': 1}
  • id: 146627
    {'lmfdb_iso': '4160.n', 'p': 79, 'prec': 20, 'unit': 597960908735986823637223227466080949, 'val': 1}
  • id: 146620
    {'lmfdb_iso': '4160.n', 'p': 83, 'prec': 20, 'unit': 1353487612054133980492018446472903333, 'val': 1}
  • id: 146635
    {'lmfdb_iso': '4160.n', 'p': 89, 'prec': 20, 'unit': 3209897233979349110739842489291111306, 'val': 1}
  • id: 146619
    {'lmfdb_iso': '4160.n', 'p': 97, 'prec': 20, 'unit': 18169221142195643936800651826450451621, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 25420
    {'Ciso': '4160e', 'Clabel': '4160e2', 'Cnumber': 2, 'abc_quality': 1.2247540947788373, 'absD': 1331200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -1732, 27744], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4160, 'degree': 1024, 'elladic_images': ['8.12.0.21'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41818438385596563119360898013', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [140283769536, 325], 'lmfdb_iso': '4160.n', 'lmfdb_label': '4160.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -433, -3468], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.3', '26.6.0.b.1', '52.12.0.e.1', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6617998836839330922180290851', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [5, 6, 832], [13, 14, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27496279670397967822362314133', 'prec': 107}, 'szpiro_ratio': 4.078194737413629, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 25419
    {'Ciso': '4160e', 'Clabel': '4160e1', 'Cnumber': 1, 'abc_quality': 0.989564704001147, 'absD': 6760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -107, 444], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4160, 'degree': 512, 'elladic_images': ['4.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.071610793575992976484992919399', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [-2116874304, 105625], 'lmfdb_iso': '4160.n', 'lmfdb_label': '4160.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -428, -3552], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.a.1.1', '52.24.0-52.d.1.1', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83089994184196654610901454254', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 832], [13, 14, 320]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27496279670397967822362314133', 'prec': 107}, 'szpiro_ratio': 3.085798680757709, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}