Elliptic curve isogeny class data - 159201.w

Formats: - HTML - YAML - JSON - 2025-05-04T06:14:05.669574

• 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, -2, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 4, 0, 0, 0, 0], 'aplist': [0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 4, 11, 0, -13, 0, 0, 0, 13, -16, 0, -17, 17, 0, 0, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 159201, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '159201.w', 'trace_hash': 1983631751319165833}
• lmfdb_iso 159201.w 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: 1030959
    {'Ciso': '159201x', 'Clabel': '159201x1', 'Cnumber': 1, 'absD': 129530777370669149643, 'ainvs': [0, 0, 1, 0, -547576262], 'analytic_rank': 0, 'bad_primes': [3, 7, 19], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 159201, 'degree': 3102624, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5380867540627109021194210208', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '159201.w', 'lmfdb_label': '159201.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, -233], 'min_quad_twist_disc': 133, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 53067], [3, 6, 17689], [7, 20, 3249], [19, 146, 441]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 4.48868897265111, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1030960
    {'Ciso': '159201x', 'Clabel': '159201x2', 'Cnumber': 2, 'absD': 94427936703217810089747, 'ainvs': [0, 0, 1, 0, 14784559067], 'analytic_rank': 0, 'bad_primes': [3, 7, 19], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 159201, 'degree': 9307872, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0873928983967657478170436393', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '159201.w', 'lmfdb_label': '159201.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, -233], 'min_quad_twist_disc': -399, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 53067], [3, 2, 17689], [7, 20, 3249], [19, 146, 441]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 5.039007573253465, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}