Elliptic curve isogeny class data - 27735.b

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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, -1, -1, -1, 1, 1, 4, 3, 1, -1, 4, 1, 2, -4, -1, -1, 8, -1, -2, -1], 'aplist': [-1, -1, 1, 4, 4, 2, 8, -2, 6, 6, -8, 2, 10, 0, -10, 4, 0, -8, 4, -12, -10, -16, 6, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 27735, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '27735.b', 'trace_hash': 812288533477234404}
• lmfdb_iso 27735.b 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: 183963
    {'Ciso': '27735e', 'Clabel': '27735e2', 'Cnumber': 2, 'abc_quality': 1.0067685754987532, 'absD': 1192675827154812978515625, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2580, 'ainvs': [1, 1, 1, -97864835, -368956593088], 'analytic_rank': 0, 'bad_primes': [3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 27735, 'degree': 7189600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4327141416739304466300251691', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [206246988924787, 2373046875], 'lmfdb_iso': '27735.b', 'lmfdb_label': '27735.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -52929, 4635631], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.d.1', '258.6.0.?', '860.6.0.?', '2580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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, 9245], [5, 6, 1849], [43, 506, 15]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61181405490375862902539328409', 'prec': 103}, 'szpiro_ratio': 6.530591885861809, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 183962
    {'Ciso': '27735e', 'Clabel': '27735e1', 'Cnumber': 1, 'abc_quality': 1.0526811717862732, 'absD': 92742472319558257209375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2580, 'ainvs': [1, 1, 1, -1263830, -14662747150], 'analytic_rank': 0, 'bad_primes': [3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 27735, 'degree': 3594800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0861405513939577919214091084', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [-444194947, 184528125], 'lmfdb_iso': '27735.b', 'lmfdb_label': '27735.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -684, 184357], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.d.1', '430.6.0.?', '516.6.0.?', '2580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 215], [3, 4, 9245], [5, 6, 1849], [43, 506, 15]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26524046462378597431677722339', 'prec': 103}, 'szpiro_ratio': 5.898100569488846, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}