Elliptic curve isogeny class data - 136.a

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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, -2, 0, -2, 0, -2, 0, 1, 0, -6, 0, 2, 0, 4, 0, 1, 0, 0, 0], 'aplist': [0, -2, -2, -2, -6, 2, 1, 0, 6, -10, 2, 6, -6, -8, 0, -10, -8, 14, 4, 2, -14, -10, 8, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 136, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '136.a', 'trace_hash': 1873852473126167755}
• ec_padic •

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

  
  
  • id: 662
    {'lmfdb_iso': '136.a', 'p': 5, 'prec': 20, 'unit': 668168937968, 'val': 2}
  • id: 663
    {'lmfdb_iso': '136.a', 'p': 7, 'prec': 20, 'unit': 4175485382231850, 'val': 1}
  • id: 661
    {'lmfdb_iso': '136.a', 'p': 11, 'prec': 20, 'unit': 61007558971817994803, 'val': 1}
  • id: 668
    {'lmfdb_iso': '136.a', 'p': 13, 'prec': 20, 'unit': 1055370258296458225331, 'val': 1}
  • id: 673
    {'lmfdb_iso': '136.a', 'p': 23, 'prec': 20, 'unit': 15910505048819616551340440, 'val': 1}
  • id: 667
    {'lmfdb_iso': '136.a', 'p': 29, 'prec': 20, 'unit': 5418305675566233156472192607, 'val': 1}
  • id: 664
    {'lmfdb_iso': '136.a', 'p': 31, 'prec': 20, 'unit': 20254904009682401163735185768, 'val': 1}
  • id: 678
    {'lmfdb_iso': '136.a', 'p': 37, 'prec': 20, 'unit': 143057958240826922596334783855, 'val': 1}
  • id: 665
    {'lmfdb_iso': '136.a', 'p': 41, 'prec': 20, 'unit': 1702755233170182345438482412680, 'val': 1}
  • id: 666
    {'lmfdb_iso': '136.a', 'p': 43, 'prec': 20, 'unit': 5711159640386613083954254004525, 'val': 1}
  • id: 671
    {'lmfdb_iso': '136.a', 'p': 53, 'prec': 20, 'unit': 145444965538159621494213540403795, 'val': 1}
  • id: 676
    {'lmfdb_iso': '136.a', 'p': 59, 'prec': 20, 'unit': 2439060721744292580075451275983150, 'val': 1}
  • id: 677
    {'lmfdb_iso': '136.a', 'p': 61, 'prec': 20, 'unit': 2393102694840246942215240192760230, 'val': 1}
  • id: 660
    {'lmfdb_iso': '136.a', 'p': 67, 'prec': 20, 'unit': 6512112502985868731846280232885039, 'val': 1}
  • id: 675
    {'lmfdb_iso': '136.a', 'p': 71, 'prec': 20, 'unit': 52347290788617683070672271075768973, 'val': 1}
  • id: 672
    {'lmfdb_iso': '136.a', 'p': 73, 'prec': 20, 'unit': 132203671047494827188236697987610342, 'val': 1}
  • id: 669
    {'lmfdb_iso': '136.a', 'p': 79, 'prec': 20, 'unit': 836233463238191272740515631866539582, 'val': 1}
  • id: 670
    {'lmfdb_iso': '136.a', 'p': 83, 'prec': 20, 'unit': 2379898865342518240497125551281021340, 'val': 1}
  • id: 674
    {'lmfdb_iso': '136.a', 'p': 89, 'prec': 20, 'unit': 6764454601179098746583053381542202447, 'val': 1}
  • id: 659
    {'lmfdb_iso': '136.a', 'p': 97, 'prec': 20, 'unit': 29339252018662607912545442773888270348, '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: 446
    {'Ciso': '136a', 'Clabel': '136a1', 'Cnumber': 1, 'abc_quality': 0.759282993625231, 'absD': 4352, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 136, 'ainvs': [0, 1, 0, -4, 0], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 136, 'degree': 8, 'elladic_images': ['8.12.0.21'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.60820373686684027197948160869', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [35152, 17], 'lmfdb_iso': '136.a', 'lmfdb_label': '136.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.3', '34.6.0.a.1', '68.24.0.f.1', '136.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.23150799282643881857277704429', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0703018572401371449243030230', 'prec': 103}, 'szpiro_ratio': 3.259462472236093, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 447
    {'Ciso': '136a', 'Clabel': '136a2', 'Cnumber': 2, 'abc_quality': 0.8723594635381978, 'absD': 295936, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 136, 'ainvs': [0, 1, 0, 16, 16], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 136, 'degree': 16, 'elladic_images': ['4.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.26163014658686761727086554796', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [415292, 289], 'lmfdb_iso': '136.a', 'lmfdb_label': '136.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 16, 16], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.a.1.1', '68.24.0-68.d.1.1', '136.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.46301598565287763714555408857', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83925279705348870845189231584', 'prec': 107}, 'szpiro_ratio': 4.044291617051522, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}