Elliptic curve isogeny class data - 8732.b

Formats: - HTML - YAML - JSON - 2025-09-12T01:59:11.127188

• 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, -2, 0, -1, 0, -3, 0, -4, 0, -1, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -2, -1, -4, -1, -6, 4, -8, -6, -5, -1, 7, -4, 2, -3, -1, -5, -16, -5, 4, 0, 6, -15, 9], 'class_deg': 1, 'class_size': 1, 'conductor': 8732, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8732.b', 'trace_hash': 1936016256460691442}
• ec_padic •

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

  
  
  • id: 362098
    {'lmfdb_iso': '8732.b', 'p': 5, 'prec': 20, 'unit': 14677435366209, 'val': 2}
  • id: 362099
    {'lmfdb_iso': '8732.b', 'p': 7, 'prec': 20, 'unit': 9915178896234811, 'val': 2}
  • id: 362097
    {'lmfdb_iso': '8732.b', 'p': 11, 'prec': 20, 'unit': 35033252537425821941, 'val': 2}
  • id: 362103
    {'lmfdb_iso': '8732.b', 'p': 13, 'prec': 20, 'unit': 893309508868540391947, 'val': 2}
  • id: 362105
    {'lmfdb_iso': '8732.b', 'p': 17, 'prec': 20, 'unit': 46491734994031666192906, 'val': 2}
  • id: 362106
    {'lmfdb_iso': '8732.b', 'p': 19, 'prec': 20, 'unit': 633539950643029891771503, 'val': 2}
  • id: 362109
    {'lmfdb_iso': '8732.b', 'p': 23, 'prec': 20, 'unit': 1667230946543743212256622, 'val': 3}
  • id: 362102
    {'lmfdb_iso': '8732.b', 'p': 29, 'prec': 20, 'unit': 177248574541606347502108332, 'val': 2}
  • id: 362114
    {'lmfdb_iso': '8732.b', 'p': 31, 'prec': 20, 'unit': 1452004792920021785649602155, 'val': 2}
  • id: 362100
    {'lmfdb_iso': '8732.b', 'p': 41, 'prec': 20, 'unit': 4129075109073493409618534943728, 'val': 2}
  • id: 362101
    {'lmfdb_iso': '8732.b', 'p': 43, 'prec': 20, 'unit': 7709193067825767130528076863823, 'val': 2}
  • id: 362104
    {'lmfdb_iso': '8732.b', 'p': 47, 'prec': 20, 'unit': 10488313474895621324153495686204, 'val': 2}
  • id: 362107
    {'lmfdb_iso': '8732.b', 'p': 53, 'prec': 20, 'unit': 565076022252288984964231716051121, 'val': 2}
  • id: 362112
    {'lmfdb_iso': '8732.b', 'p': 61, 'prec': 20, 'unit': 1600414285111197106899367244017977, 'val': 2}
  • id: 362096
    {'lmfdb_iso': '8732.b', 'p': 67, 'prec': 20, 'unit': 27285086587984180320812080946566652, 'val': 2}
  • id: 362111
    {'lmfdb_iso': '8732.b', 'p': 71, 'prec': 20, 'unit': 57695871060512188869188837573966830, 'val': 2}
  • id: 362108
    {'lmfdb_iso': '8732.b', 'p': 73, 'prec': 20, 'unit': 124565813493016071854291932479229255, 'val': 2}
  • id: 362113
    {'lmfdb_iso': '8732.b', 'p': 83, 'prec': 20, 'unit': 156566290787708361732962522726093991, 'val': 2}
  • id: 362110
    {'lmfdb_iso': '8732.b', 'p': 89, 'prec': 20, 'unit': 9685044603530750326340194939175310756, 'val': 2}
  • id: 362095
    {'lmfdb_iso': '8732.b', 'p': 97, 'prec': 20, 'unit': 3565341303885962063613879382729263728, 'val': 2}
• 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': '8732a', 'Clabel': '8732a1', 'Cnumber': 1, 'abc_quality': 0.811193223149947, 'absD': 34928, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 4366, 'ainvs': [0, 0, 0, -1, 9], 'analytic_rank': 2, 'bad_primes': [2, 37, 59], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8732, 'degree': 456, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.44906375959669217037615658674', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-6912, 2183], 'lmfdb_iso': '8732.b', 'lmfdb_label': '8732.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1, 9], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['4366.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 14, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.55925381077285617072644253823', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 2183], [37, 38, 236], [59, 60, 148]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68011281978334060684856729389', 'prec': 107}, 'szpiro_ratio': 1.974445053552544, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}