Elliptic curve isogeny class data - 10192.bf

Formats: - HTML - YAML - JSON - 2025-11-01T18:49:34.648990

• 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, 2, 0, 0, 0, -2, 0, 5, 0, 1, 0, 2, 0, 8, 0, -8, 0], 'aplist': [0, 1, 2, 0, 5, 1, 8, -8, -7, 6, 5, 1, -9, -2, -3, 10, 4, 7, 5, 14, 11, 11, 14, 6, 13], 'class_deg': 1, 'class_size': 1, 'conductor': 10192, 'isogeny_matrix': [[1]], 'lmfdb_iso': '10192.bf', 'trace_hash': 146918197721027410}
• lmfdb_iso 10192.bf 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[]

  
  {'Ciso': '10192bj', 'Clabel': '10192bj1', 'Cnumber': 1, 'abc_quality': 0.9807850651436072, 'absD': 1100159419154432, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 728, 'ainvs': [0, 1, 0, -1586832, 768859412], 'analytic_rank': 0, 'bad_primes': [2, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 10192, 'degree': 145152, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1250526450557370411496993244', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1], 'jinv': [-2673465150439, 6656], 'lmfdb_iso': '10192.bf', 'lmfdb_label': '10192.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2024, 34880], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['728.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 91], [7, 20, 208], [13, 14, 784]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.027527147295693247096547354638', 'prec': 110}, 'szpiro_ratio': 5.899148796441376, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}