Elliptic curve isogeny class data - 5056.r

Formats: - HTML - YAML - JSON - 2024-06-08T05:48:40.927093

• 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, -1, 0, -2, 0, 2, 0, -3, 0, 3, 0, -6, 0, -4, 0], 'aplist': [0, 1, 3, -1, 2, -3, -6, -4, 2, 6, -10, 2, -10, -4, 7, -8, 3, 4, -8, 15, 2, -1, 6, -7, -19], 'class_deg': 1, 'class_size': 1, 'conductor': 5056, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5056.r', 'trace_hash': 496950836121488447}
• ec_padic •

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

  
  
  • id: 186259
    {'lmfdb_iso': '5056.r', 'p': 5, 'prec': 20, 'unit': 10670962939151, 'val': 1}
  • id: 186260
    {'lmfdb_iso': '5056.r', 'p': 7, 'prec': 20, 'unit': 941334969392779, 'val': 1}
  • id: 186261
    {'lmfdb_iso': '5056.r', 'p': 11, 'prec': 20, 'unit': 55827206575753106039, 'val': 1}
  • id: 186262
    {'lmfdb_iso': '5056.r', 'p': 13, 'prec': 20, 'unit': 349863170927883855933, 'val': 1}
  • id: 186263
    {'lmfdb_iso': '5056.r', 'p': 17, 'prec': 20, 'unit': 7443623641948497507390, 'val': 1}
  • id: 186264
    {'lmfdb_iso': '5056.r', 'p': 19, 'prec': 20, 'unit': 944093385482281210849856, 'val': 1}
  • id: 186265
    {'lmfdb_iso': '5056.r', 'p': 23, 'prec': 20, 'unit': 59614326015246809210144569, 'val': 1}
  • id: 186266
    {'lmfdb_iso': '5056.r', 'p': 29, 'prec': 20, 'unit': 5445628031933161521182694174, 'val': 1}
  • id: 186267
    {'lmfdb_iso': '5056.r', 'p': 31, 'prec': 20, 'unit': 13345833214370177918018505259, 'val': 1}
  • id: 186268
    {'lmfdb_iso': '5056.r', 'p': 37, 'prec': 20, 'unit': 546993998056472219289977738454, 'val': 1}
  • id: 186269
    {'lmfdb_iso': '5056.r', 'p': 41, 'prec': 20, 'unit': 2195365369594230600285667366188, 'val': 1}
  • id: 186270
    {'lmfdb_iso': '5056.r', 'p': 43, 'prec': 20, 'unit': 2076000697510168918495096323264, 'val': 1}
  • id: 186271
    {'lmfdb_iso': '5056.r', 'p': 47, 'prec': 20, 'unit': 20792403546750918666096328895220, 'val': 1}
  • id: 186272
    {'lmfdb_iso': '5056.r', 'p': 53, 'prec': 20, 'unit': 284458125782370357589724904810111, 'val': 1}
  • id: 186273
    {'lmfdb_iso': '5056.r', 'p': 59, 'prec': 20, 'unit': 2923458754616580131520227698548229, 'val': 1}
  • id: 186274
    {'lmfdb_iso': '5056.r', 'p': 61, 'prec': 20, 'unit': 7122135269015979666765103744294676, 'val': 1}
  • id: 186275
    {'lmfdb_iso': '5056.r', 'p': 67, 'prec': 20, 'unit': 17841321208697744532104724550669680, 'val': 1}
  • id: 186276
    {'lmfdb_iso': '5056.r', 'p': 71, 'prec': 20, 'unit': 37278594522760636913801712267054045, 'val': 1}
  • id: 186277
    {'lmfdb_iso': '5056.r', 'p': 73, 'prec': 20, 'unit': 236330099092594567534892277515167445, 'val': 1}
  • id: 186278
    {'lmfdb_iso': '5056.r', 'p': 83, 'prec': 20, 'unit': 2400364221822789601548113351791376059, 'val': 1}
  • id: 186279
    {'lmfdb_iso': '5056.r', 'p': 89, 'prec': 20, 'unit': 6778257360815467381440403563236826950, 'val': 1}
  • id: 186280
    {'lmfdb_iso': '5056.r', 'p': 97, 'prec': 20, 'unit': 26520131003196664727603816776412081935, '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': '5056d', 'Clabel': '5056d1', 'Cnumber': 1, 'abc_quality': 0.78347615441055, 'absD': 20709376, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 316, 'ainvs': [0, 1, 0, -129, 479], 'analytic_rank': 1, 'bad_primes': [2, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5056, 'degree': 1024, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14467978620588755374890642485', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [912673, 79], 'lmfdb_iso': '5056.r', 'lmfdb_label': '5056.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2, 0], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['316.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59250443844646650197383849815', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.89504098463403041037694175734', 'prec': 107}, 'szpiro_ratio': 3.0722051457363375, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}