Elliptic curve isogeny class data - 28224.bg

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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, -2, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, 0, -2, 0, -2, -1, 0, -1, 0, 4, 9, -3, 10, -5, 6, 12, -12, -10, 5, 6, -3, -1, 6, -16, -6], 'class_deg': 13, 'class_size': 2, 'conductor': 28224, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '28224.bg', 'trace_hash': 715852614957830767}
• lmfdb_iso 28224.bg does not appear in ec_padic
• 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: 187390
    {'Ciso': '28224bd', 'Clabel': '28224bd2', 'Cnumber': 2, 'abc_quality': 1.1059237401535138, 'absD': 428813188302276288, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -1609356, 786457154], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 28224, 'degree': 349440, 'elladic_images': ['13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3062219714534002189606736198', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 32, 'isogeny_degrees': [1, 13], 'jinv': [-1713910976512, 1594323], 'lmfdb_iso': '28224.bg', 'lmfdb_label': '28224.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -912, 10919], 'min_quad_twist_disc': 168, 'modell_images': ['13B.4.2'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.2', '78.56.1.?', '91.84.2.?', '104.56.0.?', '312.112.1.?', '546.168.9.?', '728.168.2.?', '2184.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 3136], [7, 26, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11306880413583051515086644498', 'prec': 103}, 'szpiro_ratio': 5.317098574560968, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 187389
    {'Ciso': '28224bd', 'Clabel': '28224bd1', 'Cnumber': 1, 'abc_quality': 0.9123874511245065, 'absD': 806887666368, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -4116, -110446], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 28224, 'degree': 26880, 'elladic_images': ['13.28.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0237472927226318509339298990', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 13], 'jinv': [-28672, 3], 'lmfdb_iso': '28224.bg', 'lmfdb_label': '28224.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -2, -1], 'min_quad_twist_disc': 168, 'modell_images': ['13B.4.1'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.1', '78.56.1.?', '91.84.2.?', '104.56.0.?', '312.112.1.?', '546.168.9.?', '728.168.2.?', '2184.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 3136], [7, 26, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1694058745949378528758772758', 'prec': 103}, 'szpiro_ratio': 3.5858672768527615, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}