Elliptic curve isogeny class data - 81120.b

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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, 0, -1, 0, -1, 0, -4, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, -8, 0], 'aplist': [0, -1, -1, -4, 0, 0, 2, -8, 4, 6, 8, -6, 6, -4, -4, 6, -8, -10, -4, -8, 14, 0, -12, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 81120, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '81120.b', 'trace_hash': 352314584843223426}
• ec_padic •

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

  
  
  • id: 4180022
    {'lmfdb_iso': '81120.b', 'p': 7, 'prec': 20, 'unit': 6914218632563682, 'val': 1}
  • id: 4180027
    {'lmfdb_iso': '81120.b', 'p': 17, 'prec': 20, 'unit': 237188347470418682543662, 'val': 1}
  • id: 4180018
    {'lmfdb_iso': '81120.b', 'p': 19, 'prec': 20, 'unit': 1942895070282511107271073, 'val': 1}
  • id: 4180031
    {'lmfdb_iso': '81120.b', 'p': 23, 'prec': 20, 'unit': 12521485225250027726826948, 'val': 1}
  • id: 4180025
    {'lmfdb_iso': '81120.b', 'p': 29, 'prec': 20, 'unit': 3275804943205926096385570271, 'val': 1}
  • id: 4180036
    {'lmfdb_iso': '81120.b', 'p': 31, 'prec': 20, 'unit': 5850708622314226867758948764, 'val': 1}
  • id: 4180021
    {'lmfdb_iso': '81120.b', 'p': 37, 'prec': 20, 'unit': 616585225515016879378762860255, 'val': 1}
  • id: 4180023
    {'lmfdb_iso': '81120.b', 'p': 41, 'prec': 20, 'unit': 911222071910492533852799977176, 'val': 1}
  • id: 4180024
    {'lmfdb_iso': '81120.b', 'p': 43, 'prec': 20, 'unit': 1278492733758347798572726074741, 'val': 1}
  • id: 4180026
    {'lmfdb_iso': '81120.b', 'p': 47, 'prec': 20, 'unit': 35766269239737834224792327581558, 'val': 1}
  • id: 4180029
    {'lmfdb_iso': '81120.b', 'p': 53, 'prec': 20, 'unit': 520805043260265291594067866677358, 'val': 1}
  • id: 4180034
    {'lmfdb_iso': '81120.b', 'p': 59, 'prec': 20, 'unit': 1372187460327363039683116630350488, 'val': 1}
  • id: 4180035
    {'lmfdb_iso': '81120.b', 'p': 61, 'prec': 20, 'unit': 2086315386776338498408918044573904, 'val': 1}
  • id: 4180020
    {'lmfdb_iso': '81120.b', 'p': 67, 'prec': 20, 'unit': 48374998756955249227000211227732074, 'val': 1}
  • id: 4180033
    {'lmfdb_iso': '81120.b', 'p': 71, 'prec': 20, 'unit': 64447094177423296893600587096705472, 'val': 1}
  • id: 4180030
    {'lmfdb_iso': '81120.b', 'p': 73, 'prec': 20, 'unit': 89393108974608933204523709203869676, 'val': 1}
  • id: 4180028
    {'lmfdb_iso': '81120.b', 'p': 83, 'prec': 20, 'unit': 686227792935442693976335559534368173, 'val': 1}
  • id: 4180032
    {'lmfdb_iso': '81120.b', 'p': 89, 'prec': 20, 'unit': 8043936656357667520351270585353070357, 'val': 1}
  • id: 4180019
    {'lmfdb_iso': '81120.b', 'p': 97, 'prec': 20, 'unit': 15445073234402194286194170458452932289, '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: 534559
    {'Ciso': '81120f', 'Clabel': '81120f4', 'Cnumber': 4, 'abc_quality': 1.0847562556631796, 'absD': 2247330096513013824000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, -1, 0, -38450936, -91730475864], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 8257536, 'elladic_images': ['16.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0662662012833508451631893171', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [2543984126301795848, 909361981125], 'lmfdb_iso': '81120.b', 'lmfdb_label': '81120.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -227520, -41682600], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0-8.o.1.2', '40.24.0.by.1', '52.12.0-4.c.1.1', '80.96.0.?', '104.24.0.?', '208.48.0.?', '520.48.0.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '28.599789549145448045593174647', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 4, 5408], [5, 6, 16224], [13, 98, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2639311371326234950735215052', 'prec': 100}, 'szpiro_ratio': 5.66260337893535, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 534558
    {'Ciso': '81120f', 'Clabel': '81120f3', 'Cnumber': 3, 'abc_quality': 1.0116459533211948, 'absD': 20411359183465114176000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, -1, 0, -19860936, 33374055636], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 8257536, 'elladic_images': ['16.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0662662012833508451631893171', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [350584567631475848, 8259273550125], 'lmfdb_iso': '81120.b', 'lmfdb_label': '81120.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -117520, 15226900], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0-8.o.1.2', '40.24.0.by.1', '52.12.0-4.c.1.2', '80.96.0.?', '104.24.0.?', '208.48.0.?', '520.48.0.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1499473872863620113982936617', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 4, 5408], [5, 6, 16224], [13, 98, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2639311371326234950735215052', 'prec': 100}, 'szpiro_ratio': 5.487272523373623, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 534556
    {'Ciso': '81120f', 'Clabel': '81120f1', 'Cnumber': 1, 'abc_quality': 1.0447549090132258, 'absD': 904489565021289000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, -1, 0, -2749686, -992178864], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 4128768, 'elladic_images': ['8.24.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7196926110033781904545732564', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [7442744143086784, 2927948765625], 'lmfdb_iso': '81120.b', 'lmfdb_label': '81120.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -16270, -446600], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0-4.a.1.2', '40.48.0-40.a.1.7', '52.24.0-4.a.1.1', '80.96.0.?', '104.48.0.?', '520.96.1.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.299894774572724022796587323', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 5408], [5, 6, 16224], [13, 98, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0906443419926371677192134749', 'prec': 100}, 'szpiro_ratio': 4.962505248456532, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 534557
    {'Ciso': '81120f', 'Clabel': '81120f2', 'Cnumber': 2, 'abc_quality': 1.1541079700404029, 'absD': 66074188401000000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, -1, 0, 8817519, -7171379775], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81120, 'degree': 8257536, 'elladic_images': ['8.24.0.75'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0662662012833508451631893171', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [3834800837445824, 3342041015625], 'lmfdb_iso': '81120.b', 'lmfdb_label': '81120.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 52175, -3280223], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0-4.d.1.4', '40.48.0-40.bf.1.7', '52.24.0-4.d.1.1', '80.96.0.?', '104.48.0.?', '520.96.1.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1499473872863620113982936617', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 5408], [5, 6, 16224], [13, 98, 480]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0906443419926371677192134749', 'prec': 100}, 'szpiro_ratio': 5.271763779874639, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}