Elliptic curve isogeny class data - 227520.ex

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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, 1, 0, 2, 0, 0, 0, 4, 0, -2, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, 0, 1, 2, 4, -2, -4, -4, 4, -2, 8, 4, 2, 2, -6, 0, 0, 2, 8, -16, -10, -1, 4, 10, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 227520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '227520.ex', 'trace_hash': 902335448861320219}
• lmfdb_iso 227520.ex 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: 1452834
    {'Ciso': '227520dm', 'Clabel': '227520dm2', 'Cnumber': 2, 'abc_quality': 0.8296343964810653, 'absD': 1490842091520, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1580, 'ainvs': [0, 0, 0, -2892, 11504], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 227520, 'degree': 245760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0261839480781693774832824297', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 127, 'isogeny_degrees': [1, 2], 'jinv': [55990084, 31205], 'lmfdb_iso': '227520.ex', 'lmfdb_label': '227520.ex1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -80, -80], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '316.6.0.?', '1580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7303901507379332430393132981', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 25280], [5, 6, 45504], [79, 80, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44731843700247921410398301737', 'prec': 107}, 'szpiro_ratio': 2.87983240500514, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1452833
    {'Ciso': '227520dm', 'Clabel': '227520dm1', 'Cnumber': 1, 'abc_quality': 0.751092049718002, 'absD': 23589273600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1580, 'ainvs': [0, 0, 0, 708, 1424], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 227520, 'degree': 122880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67961035779819672277466636894', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 127, 'isogeny_degrees': [1, 2], 'jinv': [3286064, 1975], 'lmfdb_iso': '227520.ex', 'lmfdb_label': '227520.ex2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 20, 0], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '158.6.0.?', '1580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3651950753689666215196566490', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 711], [3, 6, 25280], [5, 6, 45504], [79, 80, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67836749718912765057639372456', 'prec': 107}, 'szpiro_ratio': 2.5375721116194976, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}