Elliptic curve isogeny class data - 8001.d

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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, 1, 0, -1, -4, 0, -1, -3, 0, -4, 0, 0, 2, -1, 0, -1, -6, 0, 2, 4], 'aplist': [1, 0, -4, -1, 0, 2, -6, 2, 0, 10, 6, 10, -10, -4, 6, 6, -12, -6, -12, 0, 14, -12, 0, 8, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 8001, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8001.d', 'trace_hash': 398625099919213473}
• ec_padic •

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

  
  
  • id: 329209
    {'lmfdb_iso': '8001.d', 'p': 5, 'prec': 20, 'unit': 16860175156816, 'val': 1}
  • id: 329214
    {'lmfdb_iso': '8001.d', 'p': 13, 'prec': 20, 'unit': 1170875515178292308393, 'val': 1}
  • id: 329216
    {'lmfdb_iso': '8001.d', 'p': 17, 'prec': 20, 'unit': 117817706908032570460402, 'val': 1}
  • id: 329217
    {'lmfdb_iso': '8001.d', 'p': 19, 'prec': 20, 'unit': 223380593725907350884185, 'val': 1}
  • id: 329213
    {'lmfdb_iso': '8001.d', 'p': 29, 'prec': 20, 'unit': 1736132653961257709999596794, 'val': 1}
  • id: 329210
    {'lmfdb_iso': '8001.d', 'p': 31, 'prec': 20, 'unit': 8307710782775054602057890359, 'val': 1}
  • id: 329224
    {'lmfdb_iso': '8001.d', 'p': 37, 'prec': 20, 'unit': 316989798350637099921034420931, 'val': 1}
  • id: 329211
    {'lmfdb_iso': '8001.d', 'p': 41, 'prec': 20, 'unit': 3240963784873599334682499606702, 'val': 1}
  • id: 329212
    {'lmfdb_iso': '8001.d', 'p': 43, 'prec': 20, 'unit': 3383676645771477591302979198681, 'val': 1}
  • id: 329222
    {'lmfdb_iso': '8001.d', 'p': 47, 'prec': 20, 'unit': 55338455161990290785234710112205, 'val': 1}
  • id: 329218
    {'lmfdb_iso': '8001.d', 'p': 53, 'prec': 20, 'unit': 188327169850273816121742819977686, 'val': 1}
  • id: 329219
    {'lmfdb_iso': '8001.d', 'p': 59, 'prec': 20, 'unit': 627200843560674682946812527655172, 'val': 1}
  • id: 329223
    {'lmfdb_iso': '8001.d', 'p': 61, 'prec': 20, 'unit': 3357490485440460247299840143283220, 'val': 1}
  • id: 329208
    {'lmfdb_iso': '8001.d', 'p': 67, 'prec': 20, 'unit': 29418958712746257027356072019230117, 'val': 1}
  • id: 329220
    {'lmfdb_iso': '8001.d', 'p': 73, 'prec': 20, 'unit': 86074970004730862103719928353557693, 'val': 1}
  • id: 329215
    {'lmfdb_iso': '8001.d', 'p': 79, 'prec': 20, 'unit': 485801803505827409995917285997707046, 'val': 1}
  • id: 329221
    {'lmfdb_iso': '8001.d', 'p': 89, 'prec': 20, 'unit': 5176811030512600628305093597690616426, 'val': 1}
  • id: 329207
    {'lmfdb_iso': '8001.d', 'p': 97, 'prec': 20, 'unit': 32316872407077135510585814340268204826, '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: 51359
    {'Ciso': '8001d', 'Clabel': '8001d2', 'Cnumber': 2, 'abc_quality': 0.902549273999804, 'absD': 2410917703047, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3556, 'ainvs': [1, -1, 0, -5139, -119246], 'analytic_rank': 1, 'bad_primes': [3, 7, 127], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8001, 'degree': 18432, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0981968497205240199815040732', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [20591101178929, 3307157343], 'lmfdb_iso': '8001.d', 'lmfdb_label': '8001.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -571, 4226], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '508.6.0.?', '3556.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9613757471968826645756905939', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1143], [3, 6, 889], [7, 8, 1143], [127, 128, 63]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54889070538646917428388145474', 'prec': 103}, 'szpiro_ratio': 4.144455336576427, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 51358
    {'Ciso': '8001d', 'Clabel': '8001d1', 'Cnumber': 1, 'abc_quality': 0.8753353463723286, 'absD': 60001283223, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3556, 'ainvs': [1, -1, 0, 576, -10661], 'analytic_rank': 1, 'bad_primes': [3, 7, 127], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8001, 'degree': 9216, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75162325944055136527288801243', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [28962726911, 82306287], 'lmfdb_iso': '8001.d', 'lmfdb_label': '8001.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 64, 416], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '508.6.0.?', '3556.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9227514943937653291513811878', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 6, 889], [7, 8, 1143], [127, 128, 63]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20231711510649651957526539397', 'prec': 103}, 'szpiro_ratio': 3.5655391780431254, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}