Elliptic curve isogeny class data - 496860.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, -1, 0, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, -1, 0, -2, 0, -2, 0], 'aplist': [0, -1, 1, 0, -2, 0, -2, -2, 4, -2, -6, 6, 6, -4, 0, 8, 0, 10, 12, 14, 4, -8, 12, -14, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 496860, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '496860.bg', 'trace_hash': 101356521901274963}
• lmfdb_iso 496860.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
  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: 3046447
    {'Ciso': '496860bg', 'Clabel': '496860bg1', 'Cnumber': 1, 'abc_quality': 1.0551039835379603, 'absD': 4770101717144400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, -1, 0, -44165, -1297050], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 496860, 'degree': 2488320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7012161005343850818532654672', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [1048576, 525], 'lmfdb_iso': '496860.bg', 'lmfdb_label': '496860.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -5, 0], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '42.6.0.a.1', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 24843], [3, 4, 165620], [5, 6, 99372], [7, 32, 10140], [13, 86, 2940]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78526271291068837519856533246', 'prec': 107}, 'szpiro_ratio': 3.331844887896367, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3046448
    {'Ciso': '496860bg', 'Clabel': '496860bg2', 'Cnumber': 2, 'abc_quality': 0.8466452702175264, 'absD': 320550835392103680, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, -1, 0, 162860, -10157720], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 496860, 'degree': 4976640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0477896908143577365618815279', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [3286064, 2205], 'lmfdb_iso': '496860.bg', 'lmfdb_label': '496860.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 20, 20], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '84.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 41405], [3, 4, 165620], [5, 6, 99372], [7, 32, 10140], [13, 86, 2940]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66973818281736415696235997891', 'prec': 107}, 'szpiro_ratio': 3.630322105739638, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}