Elliptic curve isogeny class data - 227136.gz

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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, 0, 0, -1, 0, 1, 0, 3, 0, 0, 0, 0, 0, 3, 0, 5, 0], 'aplist': [0, 1, 0, -1, 3, 0, 3, 5, -6, 3, 4, 4, -3, 8, -9, 9, -6, -5, 14, 6, -4, 1, -6, -9, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 227136, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '227136.gz', 'trace_hash': 1546119632269700365}
• lmfdb_iso 227136.gz 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: 1450241
    {'Ciso': '227136bg', 'Clabel': '227136bg2', 'Cnumber': 2, 'abc_quality': 0.9965723308648884, 'absD': 15408441065472, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [0, 1, 0, -330113, 72893055], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 227136, 'degree': 1161216, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7438162590066098054446893568', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 181, 'isogeny_degrees': [1, 3], 'jinv': [531373116625, 2058], 'lmfdb_iso': '227136.gz', 'lmfdb_label': '227136.gz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5158, -143014], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.3', '84.8.0.?', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.7022833478576281751084536620', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3549], [3, 4, 10816], [7, 8, 32448], [13, 62, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15088763098715373736565463924', 'prec': 107}, 'szpiro_ratio': 4.032591429473018, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1450240
    {'Ciso': '227136bg', 'Clabel': '227136bg1', 'Cnumber': 1, 'abc_quality': 1.1348018921255314, 'absD': 11320487313408, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [0, 1, 0, -5633, 14847], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 227136, 'degree': 387072, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1945101146725549597470667383', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 181, 'isogeny_degrees': [1, 3], 'jinv': [2640625, 1512], 'lmfdb_iso': '227136.gz', 'lmfdb_label': '227136.gz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -88, -40], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '84.8.0.?', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9007611159525427250361512207', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3549], [3, 4, 75712], [7, 8, 32448], [13, 62, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70019377532120858306327725774', 'prec': 107}, 'szpiro_ratio': 3.04241038341593, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}