Elliptic curve isogeny class data - 1056.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, -1, 0, -4, 0, 2, 0, 1, 0, 1, 0, 4, 0, 4, 0, 2, 0, -4, 0], 'aplist': [0, -1, -4, 2, 1, 4, 2, -4, -6, -6, -4, -2, 6, -8, -10, -12, 0, 8, -4, -6, 10, 6, 12, -14, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 1056, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1056.a', 'trace_hash': 2299224763943052104}
• ec_padic •

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

  
  
  • id: 24286
    {'lmfdb_iso': '1056.a', 'p': 5, 'prec': 20, 'unit': 58399121502303, 'val': -1}
  • id: 24287
    {'lmfdb_iso': '1056.a', 'p': 7, 'prec': 20, 'unit': 2154733041151489, 'val': 1}
  • id: 24292
    {'lmfdb_iso': '1056.a', 'p': 13, 'prec': 20, 'unit': 1414262462032359725017, 'val': 1}
  • id: 24294
    {'lmfdb_iso': '1056.a', 'p': 17, 'prec': 20, 'unit': 78435028317204435047018, 'val': 1}
  • id: 24295
    {'lmfdb_iso': '1056.a', 'p': 19, 'prec': 20, 'unit': 1853193065925245454575516, 'val': 1}
  • id: 24298
    {'lmfdb_iso': '1056.a', 'p': 23, 'prec': 20, 'unit': 66901365548279825762284228, 'val': 1}
  • id: 24291
    {'lmfdb_iso': '1056.a', 'p': 29, 'prec': 20, 'unit': 2578137184546193945133073497, 'val': 1}
  • id: 24288
    {'lmfdb_iso': '1056.a', 'p': 31, 'prec': 20, 'unit': 8531672354999025082779417300, 'val': 1}
  • id: 24303
    {'lmfdb_iso': '1056.a', 'p': 37, 'prec': 20, 'unit': 211608070863831911211168182421, 'val': 1}
  • id: 24289
    {'lmfdb_iso': '1056.a', 'p': 41, 'prec': 20, 'unit': 460528489026002644704513448548, 'val': 1}
  • id: 24290
    {'lmfdb_iso': '1056.a', 'p': 43, 'prec': 20, 'unit': 7742667460739727209810165820196, 'val': 1}
  • id: 24293
    {'lmfdb_iso': '1056.a', 'p': 47, 'prec': 20, 'unit': 20450872585846775399948800448062, 'val': 1}
  • id: 24296
    {'lmfdb_iso': '1056.a', 'p': 53, 'prec': 20, 'unit': 281106870212626342558561628284621, 'val': 1}
  • id: 24302
    {'lmfdb_iso': '1056.a', 'p': 61, 'prec': 20, 'unit': 2214021745387530280561927258677947, 'val': 1}
  • id: 24285
    {'lmfdb_iso': '1056.a', 'p': 67, 'prec': 20, 'unit': 18039934752009893779626548849770175, 'val': 1}
  • id: 24300
    {'lmfdb_iso': '1056.a', 'p': 71, 'prec': 20, 'unit': 72410326825916764243532341123658733, 'val': 1}
  • id: 24297
    {'lmfdb_iso': '1056.a', 'p': 73, 'prec': 20, 'unit': 137258975330379049895858997278314512, 'val': 1}
  • id: 24301
    {'lmfdb_iso': '1056.a', 'p': 79, 'prec': 20, 'unit': 968372741251795627337594955060516659, 'val': 1}
  • id: 24284
    {'lmfdb_iso': '1056.a', 'p': 83, 'prec': 20, 'unit': 1464223793018186443687621569264278816, 'val': 1}
  • id: 24299
    {'lmfdb_iso': '1056.a', 'p': 89, 'prec': 20, 'unit': 5258799028435976175269870603416534115, 'val': 1}
  • id: 24283
    {'lmfdb_iso': '1056.a', 'p': 97, 'prec': 20, 'unit': 15949378228655047341897483910938879501, '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[]

  
  
  • id: 5466
    {'Ciso': '1056h', 'Clabel': '1056h1', 'Cnumber': 1, 'abc_quality': 0.8537801493910728, 'absD': 2112, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, -10, 16], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1056, 'degree': 96, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.56507440463637605647693633461', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [1906624, 33], 'lmfdb_iso': '1056.a', 'lmfdb_label': '1056.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10, 16], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83091601785399583274404933407', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 33], [3, 4, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91164799491634871118555239534', 'prec': 107}, 'szpiro_ratio': 2.674386191138064, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 5467
    {'Ciso': '1056h', 'Clabel': '1056h2', 'Cnumber': 2, 'abc_quality': 1.1922625701698586, 'absD': 557568, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, 0, 36], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1056, 'degree': 192, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.21850081435640340176832027389', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-8, 1089], 'lmfdb_iso': '1056.a', 'lmfdb_label': '1056.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, 36], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '132.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.41545800892699791637202466703', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.73836119977636238383124436498', 'prec': 107}, 'szpiro_ratio': 2.971177904760982, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}