Elliptic curve isogeny class data - 8256.bl

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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, -1, 0, 1, 0, 5, 0, 7, 0, 1, 0, 4, 0, -1, 0], 'aplist': [0, 1, 1, -1, 5, 7, 4, -1, 4, 5, 10, -10, 0, 1, 1, -12, 4, 8, -2, 12, 4, -10, -7, 6, -7], 'class_deg': 7, 'class_size': 2, 'conductor': 8256, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '8256.bl', 'trace_hash': 1001903235746906825}
• lmfdb_iso 8256.bl 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: 53153
    {'Ciso': '8256bp', 'Clabel': '8256bp2', 'Cnumber': 2, 'abc_quality': 1.0440647512200927, 'absD': 855067415880400896, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 7224, 'ainvs': [0, 1, 0, -3833665, 2888210111], 'analytic_rank': 0, 'bad_primes': [2, 3, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 8256, 'degree': 225792, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4586427684984573355741621930', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 37, 'isogeny_degrees': [1, 7], 'jinv': [-23769846831649063249, 3261823333284], 'lmfdb_iso': '8256.bl', 'lmfdb_label': '8256.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -59901, -5648523], 'min_quad_twist_disc': -8, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '56.48.0-7.a.2.2', '516.2.0.?', '3612.48.2.?', '7224.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 129], [3, 4, 2752], [7, 2, 192], [43, 44, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4189219976585393714483140108', 'prec': 100}, 'szpiro_ratio': 6.330387353294972, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 53152
    {'Ciso': '8256bp', 'Clabel': '8256bp1', 'Cnumber': 1, 'abc_quality': 0.9966384920336764, 'absD': 403903019483136, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 7224, 'ainvs': [0, 1, 0, 10175, -879169], 'analytic_rank': 0, 'bad_primes': [2, 3, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 8256, 'degree': 32256, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4856876939708006830214858212', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 7], 'jinv': [444369620591, 1540767744], 'lmfdb_iso': '8256.bl', 'lmfdb_label': '8256.bl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 159, 1737], 'min_quad_twist_disc': -8, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '56.48.0-7.a.1.2', '516.2.0.?', '3612.48.2.?', '7224.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 129], [3, 4, 2752], [7, 2, 2752], [43, 44, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44596692313088271889563763901', 'prec': 103}, 'szpiro_ratio': 4.53550195197147, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}