Elliptic curve isogeny class data - 10192.z

Formats: - HTML - YAML - JSON - 2025-10-30T08:26:13.182970

• 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, -3, 0, 0, 0, -2, 0, 3, 0, -1, 0, -3, 0, 7, 0, 1, 0], 'aplist': [0, 1, -3, 0, 3, -1, 7, 1, -1, -2, -9, -3, 10, -4, -3, -1, 11, -1, 7, -8, -7, 11, 4, 1, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 10192, 'isogeny_matrix': [[1]], 'lmfdb_iso': '10192.z', 'trace_hash': 2013695601562251212}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 432118
    {'lmfdb_iso': '10192.z', 'p': 5, 'prec': 20, 'unit': 148654211133, 'val': 1}
  • id: 432125
    {'lmfdb_iso': '10192.z', 'p': 11, 'prec': 20, 'unit': 38569830098189068362, 'val': 1}
  • id: 432126
    {'lmfdb_iso': '10192.z', 'p': 17, 'prec': 20, 'unit': 5682563620891159764703, 'val': 1}
  • id: 432127
    {'lmfdb_iso': '10192.z', 'p': 19, 'prec': 20, 'unit': 4418709688636658346677166, 'val': -1}
  • id: 432131
    {'lmfdb_iso': '10192.z', 'p': 23, 'prec': 20, 'unit': 63558520367127467228009462, 'val': 1}
  • id: 432123
    {'lmfdb_iso': '10192.z', 'p': 29, 'prec': 20, 'unit': 2969692265126897706814427, 'val': 2}
  • id: 432120
    {'lmfdb_iso': '10192.z', 'p': 31, 'prec': 20, 'unit': 674133201642863866869914529, 'val': 2}
  • id: 432135
    {'lmfdb_iso': '10192.z', 'p': 37, 'prec': 20, 'unit': 493165344058983392668994762620, 'val': 1}
  • id: 432121
    {'lmfdb_iso': '10192.z', 'p': 41, 'prec': 20, 'unit': 1773899809434686321251124480949, 'val': 1}
  • id: 432122
    {'lmfdb_iso': '10192.z', 'p': 43, 'prec': 20, 'unit': 41996540652345295423313246966, 'val': 1}
  • id: 432133
    {'lmfdb_iso': '10192.z', 'p': 47, 'prec': 20, 'unit': 46861137159936211456156787522363, 'val': 1}
  • id: 432128
    {'lmfdb_iso': '10192.z', 'p': 53, 'prec': 20, 'unit': 130308906289481387769194681172266, 'val': 1}
  • id: 432129
    {'lmfdb_iso': '10192.z', 'p': 59, 'prec': 20, 'unit': 2351899050029870585137198513567217, 'val': 1}
  • id: 432134
    {'lmfdb_iso': '10192.z', 'p': 61, 'prec': 20, 'unit': 5711065736437972616929066531735639, 'val': 1}
  • id: 432117
    {'lmfdb_iso': '10192.z', 'p': 67, 'prec': 20, 'unit': 43767909669986276299100580464695154, 'val': 1}
  • id: 432119
    {'lmfdb_iso': '10192.z', 'p': 71, 'prec': 20, 'unit': 83963208783956778284207468255007667, 'val': 1}
  • id: 432130
    {'lmfdb_iso': '10192.z', 'p': 73, 'prec': 20, 'unit': 185574996282117908717763426649555240, 'val': 1}
  • id: 432124
    {'lmfdb_iso': '10192.z', 'p': 79, 'prec': 20, 'unit': 1057899558127094660675404731374697579, 'val': 1}
  • id: 432116
    {'lmfdb_iso': '10192.z', 'p': 83, 'prec': 20, 'unit': 1386100565319534548749088398022233296, 'val': 1}
  • id: 432132
    {'lmfdb_iso': '10192.z', 'p': 89, 'prec': 20, 'unit': 235619297536210174283633320782487383589, 'val': -1}
  • id: 432115
    {'lmfdb_iso': '10192.z', 'p': 97, 'prec': 20, 'unit': 26350380124525666316251054776441354461, 'val': 1}
• 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': '10192b', 'Clabel': '10192b1', 'Cnumber': 1, 'abc_quality': 0.7942083638864892, 'absD': 15588021904, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 364, 'ainvs': [0, 1, 0, -2172, -39229], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 10192, 'degree': 8064, 'elladic_images': ['2.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76166837396280966050882257642', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1], 'jinv': [12291328, 169], 'lmfdb_iso': '10192.z', 'lmfdb_label': '10192.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -44, -127], 'min_quad_twist_disc': 28, 'modell_images': ['2Cn'], 'modm_images': ['2.2.0.a.1', '14.6.0.a.1', '52.4.0-2.a.1.1', '364.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0807871228698422977748410344', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 26, 208], [13, 14, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76665411892738097936715662636', 'prec': 107}, 'szpiro_ratio': 3.755870454554235, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}