Elliptic curve isogeny class data - 73689.q

Formats: - HTML - YAML - JSON - 2024-04-30T15:04:11.559465

• 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, -1, -1, -2, -1, -1, -3, 1, -2, 0, 1, -4, -1, 2, -1, 3, 1, -5, 2], 'aplist': [1, -1, -2, -1, 0, -4, 3, -5, -3, 1, -9, -2, 5, -8, -1, -1, 4, 11, 3, 3, 2, -14, -6, -9, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 73689, 'isogeny_matrix': [[1]], 'lmfdb_iso': '73689.q', 'trace_hash': 345638320635386278}
• ec_padic •

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

  
  
  • id: 3784800
    {'lmfdb_iso': '73689.q', 'p': 5, 'prec': 20, 'unit': 11512334613398, 'val': 1}
  • id: 3784805
    {'lmfdb_iso': '73689.q', 'p': 13, 'prec': 20, 'unit': 242255676677815283657, 'val': 1}
  • id: 3784807
    {'lmfdb_iso': '73689.q', 'p': 17, 'prec': 20, 'unit': 3754196142940598196072, 'val': 1}
  • id: 3784808
    {'lmfdb_iso': '73689.q', 'p': 19, 'prec': 20, 'unit': 776195895575080114206159, 'val': 1}
  • id: 3784812
    {'lmfdb_iso': '73689.q', 'p': 23, 'prec': 20, 'unit': 42558421391582215578118143, 'val': 1}
  • id: 3784802
    {'lmfdb_iso': '73689.q', 'p': 31, 'prec': 20, 'unit': 1343592621070223783063983520, 'val': 1}
  • id: 3784816
    {'lmfdb_iso': '73689.q', 'p': 37, 'prec': 20, 'unit': 176001490206481620568523379423, 'val': 1}
  • id: 3784803
    {'lmfdb_iso': '73689.q', 'p': 41, 'prec': 20, 'unit': 1260240148935711204871363501861, 'val': 1}
  • id: 3784804
    {'lmfdb_iso': '73689.q', 'p': 43, 'prec': 20, 'unit': 5595660503822540792572007235499, 'val': 1}
  • id: 3784814
    {'lmfdb_iso': '73689.q', 'p': 47, 'prec': 20, 'unit': 31565282445697535318374421584746, 'val': 1}
  • id: 3784809
    {'lmfdb_iso': '73689.q', 'p': 53, 'prec': 20, 'unit': 367731889991659042482450489493071, 'val': 1}
  • id: 3784810
    {'lmfdb_iso': '73689.q', 'p': 59, 'prec': 20, 'unit': 2865107555515019105557345328828309, 'val': 1}
  • id: 3784815
    {'lmfdb_iso': '73689.q', 'p': 61, 'prec': 20, 'unit': 4878873163757629466920229107088862, 'val': 1}
  • id: 3784799
    {'lmfdb_iso': '73689.q', 'p': 67, 'prec': 20, 'unit': 1487295926718634401581108155910585, 'val': 1}
  • id: 3784801
    {'lmfdb_iso': '73689.q', 'p': 71, 'prec': 20, 'unit': 95522712806806656743231111834080120, 'val': 1}
  • id: 3784811
    {'lmfdb_iso': '73689.q', 'p': 73, 'prec': 20, 'unit': 144637962285666753409956514933598439, 'val': 1}
  • id: 3784806
    {'lmfdb_iso': '73689.q', 'p': 79, 'prec': 20, 'unit': 228135695795482737197461231873359812, 'val': 1}
  • id: 3784798
    {'lmfdb_iso': '73689.q', 'p': 83, 'prec': 20, 'unit': 2152905009925169181771903180013277063, 'val': 1}
  • id: 3784813
    {'lmfdb_iso': '73689.q', 'p': 89, 'prec': 20, 'unit': 5697528363059519441149436294543503298, 'val': 1}
  • id: 3784797
    {'lmfdb_iso': '73689.q', 'p': 97, 'prec': 20, 'unit': 26312389674744547307520208863127649516, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '73689h', 'Clabel': '73689h1', 'Cnumber': 1, 'abc_quality': 0.791422588342341, 'absD': 19190050103763, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 406, 'ainvs': [1, 1, 0, 4354, 181251], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 73689, 'degree': 152064, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2330974581965598927982094311', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1], 'jinv': [42568823, 89523], 'lmfdb_iso': '73689.q', 'lmfdb_label': '73689.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 36, -120], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['406.2.0.?'], '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': '1.0111453649711637826100741629', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36549939033568713657641962088', 'prec': 107}, 'szpiro_ratio': 3.365419405829498, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}