Elliptic curve isogeny class data - 16731.a

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• 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, -2, 0, 2, 1, 0, 2, 0, 0, -2, 1, 0, 0, -4, 0, -4, 2, 0, 0, 2], 'aplist': [-2, 0, 1, 2, 1, 0, 2, 0, 1, 0, -7, -3, -8, -6, 8, 6, 5, 12, 7, -3, -4, -10, -6, 15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 16731, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '16731.a', 'trace_hash': 2063933016220174503}
• ec_padic •

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

  
  
  • id: 761488
    {'lmfdb_iso': '16731.a', 'p': 5, 'prec': 20, 'unit': 11783453688226, 'val': 1}
  • id: 761473
    {'lmfdb_iso': '16731.a', 'p': 7, 'prec': 20, 'unit': 2613885509550864, 'val': 1}
  • id: 761478
    {'lmfdb_iso': '16731.a', 'p': 17, 'prec': 20, 'unit': 2104568123276122504997, 'val': 1}
  • id: 761483
    {'lmfdb_iso': '16731.a', 'p': 23, 'prec': 20, 'unit': 1671725769062556615122154333, 'val': -1}
  • id: 761474
    {'lmfdb_iso': '16731.a', 'p': 31, 'prec': 20, 'unit': 8038669249024638124241175939, 'val': 1}
  • id: 761472
    {'lmfdb_iso': '16731.a', 'p': 37, 'prec': 20, 'unit': 614567323901903011388325422078, 'val': 1}
  • id: 761475
    {'lmfdb_iso': '16731.a', 'p': 41, 'prec': 20, 'unit': 748408925365051046800128090147, 'val': 1}
  • id: 761476
    {'lmfdb_iso': '16731.a', 'p': 43, 'prec': 20, 'unit': 8719334216426829260630775277588, 'val': 1}
  • id: 761486
    {'lmfdb_iso': '16731.a', 'p': 47, 'prec': 20, 'unit': 23174000824661060145613977756170, 'val': 1}
  • id: 761480
    {'lmfdb_iso': '16731.a', 'p': 53, 'prec': 20, 'unit': 503112259459423022253453685616499, 'val': 1}
  • id: 761481
    {'lmfdb_iso': '16731.a', 'p': 59, 'prec': 20, 'unit': 68969424004226364182255502823892, 'val': 1}
  • id: 761487
    {'lmfdb_iso': '16731.a', 'p': 61, 'prec': 20, 'unit': 1261571856501014924984807401643627, 'val': 1}
  • id: 761471
    {'lmfdb_iso': '16731.a', 'p': 67, 'prec': 20, 'unit': 29260602314356152514161113603836562, 'val': 1}
  • id: 761485
    {'lmfdb_iso': '16731.a', 'p': 71, 'prec': 20, 'unit': 18433782866001534201054229511790867, 'val': 1}
  • id: 761482
    {'lmfdb_iso': '16731.a', 'p': 73, 'prec': 20, 'unit': 50141722070804822121645801298556744, 'val': 1}
  • id: 761477
    {'lmfdb_iso': '16731.a', 'p': 79, 'prec': 20, 'unit': 336330661803052923679470762816104868, 'val': 1}
  • id: 761479
    {'lmfdb_iso': '16731.a', 'p': 83, 'prec': 20, 'unit': 319046506988897045656423997233136542, 'val': 1}
  • id: 761484
    {'lmfdb_iso': '16731.a', 'p': 89, 'prec': 20, 'unit': 497241965998284130828240929349348657, 'val': 1}
  • id: 761470
    {'lmfdb_iso': '16731.a', 'p': 97, 'prec': 20, 'unit': 32490452428120155997788014543904879526, '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[]

  
  
  • id: 110298
    {'Ciso': '16731m', 'Clabel': '16731m3', 'Cnumber': 3, 'abc_quality': 1.0929566831983986, 'absD': 38706181371, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 21450, 'ainvs': [0, 0, 1, -11894727, 15789916444], 'analytic_rank': 1, 'bad_primes': [3, 11, 13], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 16731, 'degree': 324000, 'elladic_images': ['25.60.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3284899381634703363357317444', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-52893159101157376, 11], 'lmfdb_iso': '16731.a', 'lmfdb_label': '16731.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7820, -263580], 'min_quad_twist_disc': -39, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '22.2.0.a.1', '25.60.0.a.2', '110.24.1.?', '195.24.0.?', '275.300.12.?', '550.600.37.?', '975.120.0.?', '4290.48.1.?', '10725.600.12.?', '21450.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1862651030965394789503617031', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 1859], [11, 12, 1521], [13, 86, 99]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540516', 'prec': 103}, 'szpiro_ratio': 6.219877101517268, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 110297
    {'Ciso': '16731m', 'Clabel': '16731m2', 'Cnumber': 2, 'abc_quality': 1.012998630378065, 'absD': 566697201452811, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 21450, 'ainvs': [0, 0, 1, -15717, 1373674], 'analytic_rank': 1, 'bad_primes': [3, 11, 13], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 16731, 'degree': 64800, 'elladic_images': ['5.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5237709819464201490353520778', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-122023936, 161051], 'lmfdb_iso': '16731.a', 'lmfdb_label': '16731.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -10, -20], 'min_quad_twist_disc': -39, 'modell_images': ['5Cs.4.1'], 'modm_images': ['5.60.0.a.1', '22.2.0.a.1', '110.120.5.?', '195.120.0.?', '275.300.12.?', '550.600.37.?', '4290.240.5.?', '10725.600.12.?', '21450.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63725302061930789579007234063', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 6, 1859], [5, 2, 1521], [11, 12, 1521], [13, 86, 99]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426145', 'prec': 107}, 'szpiro_ratio': 4.297076097318998, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 110296
    {'Ciso': '16731m', 'Clabel': '16731m1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 38706181371, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 21450, 'ainvs': [0, 0, 1, -507, -10436], 'analytic_rank': 1, 'bad_primes': [3, 11, 13], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 16731, 'degree': 12960, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71905202572936996173497241117', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '16731.a', 'lmfdb_label': '16731.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': -39, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '110.24.1.?', '195.24.0.?', '275.300.12.?', '550.600.37.?', '975.120.0.?', '4290.48.1.?', '10725.600.12.?', '21450.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1862651030965394789503617031', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 1859], [11, 12, 1521], [13, 86, 99]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 3.293477611811687, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}