Elliptic curve isogeny class data - 77616.cs

Formats: - HTML - YAML - JSON - 2025-12-22T13:23:26.461655

• 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, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 4, 0, 3, 0], 'aplist': [0, 0, -1, 0, 1, -1, 4, 3, 6, -7, 4, 1, -4, 2, -7, -10, 9, 2, 9, -4, 9, -16, -4, -2, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 77616, 'isogeny_matrix': [[1]], 'lmfdb_iso': '77616.cs', 'trace_hash': 1150858311991733500}
• ec_padic •

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

  
  
  • id: 3996817
    {'lmfdb_iso': '77616.cs', 'p': 5, 'prec': 20, 'unit': 16523650128817, 'val': 1}
  • id: 3996823
    {'lmfdb_iso': '77616.cs', 'p': 13, 'prec': 20, 'unit': 540604607516707810697, 'val': 1}
  • id: 3996825
    {'lmfdb_iso': '77616.cs', 'p': 17, 'prec': 20, 'unit': 37909554996133640914004, 'val': 1}
  • id: 3996826
    {'lmfdb_iso': '77616.cs', 'p': 19, 'prec': 20, 'unit': 70635671378261572029219, 'val': 1}
  • id: 3996830
    {'lmfdb_iso': '77616.cs', 'p': 23, 'prec': 20, 'unit': 28359658441910238357446344, 'val': 1}
  • id: 3996822
    {'lmfdb_iso': '77616.cs', 'p': 29, 'prec': 20, 'unit': 91827151602451000187528546, 'val': 1}
  • id: 3996819
    {'lmfdb_iso': '77616.cs', 'p': 31, 'prec': 20, 'unit': 3961154219744971242674077221, 'val': 1}
  • id: 3996834
    {'lmfdb_iso': '77616.cs', 'p': 37, 'prec': 20, 'unit': 11942740589906047781914493749886, 'val': -1}
  • id: 3996820
    {'lmfdb_iso': '77616.cs', 'p': 41, 'prec': 20, 'unit': 4241843174454179237967077236342, 'val': 1}
  • id: 3996821
    {'lmfdb_iso': '77616.cs', 'p': 43, 'prec': 20, 'unit': 8408109023154739080790630876997, 'val': 1}
  • id: 3996832
    {'lmfdb_iso': '77616.cs', 'p': 47, 'prec': 20, 'unit': 48748168021473464657859459687230, 'val': 1}
  • id: 3996827
    {'lmfdb_iso': '77616.cs', 'p': 53, 'prec': 20, 'unit': 40328977406644931436013433608488, 'val': 1}
  • id: 3996828
    {'lmfdb_iso': '77616.cs', 'p': 59, 'prec': 20, 'unit': 452105836006524505757876284034130, 'val': 1}
  • id: 3996833
    {'lmfdb_iso': '77616.cs', 'p': 61, 'prec': 20, 'unit': 1071309414035549846409668106306743, 'val': 1}
  • id: 3996816
    {'lmfdb_iso': '77616.cs', 'p': 67, 'prec': 20, 'unit': 26440392381696542664493862113028136, 'val': 1}
  • id: 3996818
    {'lmfdb_iso': '77616.cs', 'p': 71, 'prec': 20, 'unit': 85905923657558993503567594029500545, 'val': 1}
  • id: 3996829
    {'lmfdb_iso': '77616.cs', 'p': 73, 'prec': 20, 'unit': 172024485149218979939334148380615143, 'val': 1}
  • id: 3996824
    {'lmfdb_iso': '77616.cs', 'p': 79, 'prec': 20, 'unit': 304549756843753960320004155788730783, 'val': 1}
  • id: 3996815
    {'lmfdb_iso': '77616.cs', 'p': 83, 'prec': 20, 'unit': 2352638049093483122221197313438187087, 'val': 1}
  • id: 3996831
    {'lmfdb_iso': '77616.cs', 'p': 89, 'prec': 20, 'unit': 6511745044888116627396323752513201839, 'val': 1}
  • id: 3996814
    {'lmfdb_iso': '77616.cs', 'p': 97, 'prec': 20, 'unit': 55096213129817498290481029068797984490, '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': '77616gd', 'Clabel': '77616gd1', 'Cnumber': 1, 'abc_quality': 0.9584096601562745, 'absD': 1258139593784304, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 462, 'ainvs': [0, 0, 0, -752493, 251253331], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 77616, 'degree': 552960, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0023054663971893402317227329', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 70, 'isogeny_degrees': [1], 'jinv': [-34339609640704, 916839], 'lmfdb_iso': '77616.cs', 'lmfdb_label': '77616.cs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1706, -27699], 'min_quad_twist_disc': -84, 'modell_images': [], 'modm_images': ['462.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.87871699505720566902331200085', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 4851], [3, 8, 8624], [7, 32, 1584], [11, 12, 7056]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24899518734882940550901303556', 'prec': 103}, 'szpiro_ratio': 4.636702892994275, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}