Elliptic curve isogeny class data - 16650.z

Formats: - HTML - YAML - JSON - 2024-05-19T11:28:42.286543

• 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, 0, 1, 0, 0, 1, -1, 0, 0, -3, 0, 7, -1, 0, 1, -3, 0, -1, 0], 'aplist': [-1, 0, 0, 1, -3, 7, -3, -1, -3, -6, -10, -1, 0, 4, -12, 9, -6, -10, 10, 6, -11, 8, 9, 9, 16], 'class_deg': 3, 'class_size': 2, 'conductor': 16650, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '16650.z', 'trace_hash': 987062846502480696}
• lmfdb_iso 16650.z 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 109569
    {'Ciso': '16650k', 'Clabel': '16650k2', 'Cnumber': 2, 'abc_quality': 0.9834738983350501, 'absD': 647352000000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4440, 'ainvs': [1, -1, 0, -1594917, 776638741], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 16650, 'degree': 414720, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3200415245938853165121872788', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 25, 'isogeny_degrees': [1, 3], 'jinv': [-39390416456458249, 56832000000], 'lmfdb_iso': '16650.z', 'lmfdb_label': '16650.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7089, -230588], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.2', '888.8.0.?', '4440.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96601642404278028351418499373', 'prec': 103}, 'szpiro_ratio': 5.6031031787360535, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 109568
    {'Ciso': '16650k', 'Clabel': '16650k1', 'Cnumber': 1, 'abc_quality': 0.9487671322926102, 'absD': 12462537487500000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4440, 'ainvs': [1, -1, 0, 28458, 5036116], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 16650, 'degree': 138240, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7707353802598304708145646604', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 3], 'jinv': [223759095911, 1094104800], 'lmfdb_iso': '16650.z', 'lmfdb_label': '16650.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 126, -1484], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.1', '888.8.0.?', '4440.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41671027970872543781656237533', 'prec': 103}, 'szpiro_ratio': 4.566821455874702, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}