Elliptic curve isogeny class data - 20475.bb

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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, 0, 0, 1, -3, 0, 0, 0, 0, -1, 1, 0, -1, 2, 0, -4, 0], 'aplist': [1, 0, 0, 1, 0, -1, 2, -4, 0, -6, 8, -2, 10, -8, 12, -6, -4, 6, -12, -12, 6, -8, 8, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 20475, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '20475.bb', 'trace_hash': 1162639806859376555}
• ec_padic •

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

  
  
  • id: 953482
    {'lmfdb_iso': '20475.bb', 'p': 17, 'prec': 20, 'unit': 143895663427112242867546, 'val': 1}
  • id: 953473
    {'lmfdb_iso': '20475.bb', 'p': 19, 'prec': 20, 'unit': 784923306289656630942172, 'val': 1}
  • id: 953480
    {'lmfdb_iso': '20475.bb', 'p': 29, 'prec': 20, 'unit': 878190014204624513854997659, 'val': 1}
  • id: 953490
    {'lmfdb_iso': '20475.bb', 'p': 31, 'prec': 20, 'unit': 2304474662369886052917178664, 'val': 1}
  • id: 953476
    {'lmfdb_iso': '20475.bb', 'p': 37, 'prec': 20, 'unit': 472487078862855753327253980591, 'val': 1}
  • id: 953478
    {'lmfdb_iso': '20475.bb', 'p': 41, 'prec': 20, 'unit': 1386003277201773508540613866810, 'val': 1}
  • id: 953479
    {'lmfdb_iso': '20475.bb', 'p': 43, 'prec': 20, 'unit': 9745628732453137371193381413723, 'val': 1}
  • id: 953488
    {'lmfdb_iso': '20475.bb', 'p': 47, 'prec': 20, 'unit': 54806162136701669711070882251398, 'val': 1}
  • id: 953484
    {'lmfdb_iso': '20475.bb', 'p': 53, 'prec': 20, 'unit': 184371757483285503457159935611713, 'val': 1}
  • id: 953485
    {'lmfdb_iso': '20475.bb', 'p': 59, 'prec': 20, 'unit': 3380646078490449546941542691782687, 'val': 1}
  • id: 953489
    {'lmfdb_iso': '20475.bb', 'p': 61, 'prec': 20, 'unit': 187829899831929447661476445669778, 'val': 1}
  • id: 953475
    {'lmfdb_iso': '20475.bb', 'p': 67, 'prec': 20, 'unit': 46390881501257284412236388992762267, 'val': 1}
  • id: 953477
    {'lmfdb_iso': '20475.bb', 'p': 71, 'prec': 20, 'unit': 132321451707459517141899208525945699, 'val': 1}
  • id: 953486
    {'lmfdb_iso': '20475.bb', 'p': 73, 'prec': 20, 'unit': 195705490503622677059267236993083584, 'val': 1}
  • id: 953481
    {'lmfdb_iso': '20475.bb', 'p': 79, 'prec': 20, 'unit': 218645326271884882193890362054834857, 'val': 1}
  • id: 953483
    {'lmfdb_iso': '20475.bb', 'p': 83, 'prec': 20, 'unit': 1657344751407078195792158075304410029, 'val': 1}
  • id: 953487
    {'lmfdb_iso': '20475.bb', 'p': 89, 'prec': 20, 'unit': 1553089156673121218938284056918458928, 'val': 1}
  • id: 953474
    {'lmfdb_iso': '20475.bb', 'p': 97, 'prec': 20, 'unit': 42878573595996793237832539589195439023, '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: 135870
    {'Ciso': '20475w', 'Clabel': '20475w3', 'Cnumber': 3, 'abc_quality': 0.9735305925746595, 'absD': 53996965927734375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, -1, 0, -3796542, -2846310759], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20475, 'degree': 368640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3764392837362124819840771217', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [531301262949272089, 4740474375], 'lmfdb_iso': '20475.bb', 'lmfdb_label': '20475.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -16873, 836602], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '156.12.0.?', '168.12.0.?', '728.12.0.?', '780.24.0.?', '840.24.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4949958380728797995074242481', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2925], [3, 8, 2275], [5, 18, 819], [7, 8, 2925], [13, 14, 1575]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0224141831851074489860748366', 'prec': 100}, 'szpiro_ratio': 5.748225774734794, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 135869
    {'Ciso': '20475w', 'Clabel': '20475w2', 'Cnumber': 2, 'abc_quality': 0.9312987645826678, 'absD': 139246053359765625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5460, 'ainvs': [1, -1, 0, -242667, -42303384], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20475, 'degree': 184320, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0298656934562398272754610610', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [138742439989609, 12224619225], 'lmfdb_iso': '20475.bb', 'lmfdb_label': '20475.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1078, 12103], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '84.12.0.?', '156.12.0.?', '364.12.0.?', '420.24.0.?', '780.24.0.?', '1092.24.0.?', '1820.24.0.?', '5460.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.9899916761457595990148484962', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 2275], [5, 18, 819], [7, 8, 2925], [13, 14, 1575]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67584059290513479427745877593', 'prec': 103}, 'szpiro_ratio': 4.917108766022022, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 135868
    {'Ciso': '20475w', 'Clabel': '20475w1', 'Cnumber': 1, 'abc_quality': 0.9010228496837062, 'absD': 2766911583515625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, -1, 0, -52542, 3896991], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20475, 'degree': 92160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6832921031762671725668450003', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [1408317602329, 242911305], 'lmfdb_iso': '20475.bb', 'lmfdb_label': '20475.bb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -233, -1248], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '84.12.0.?', '210.6.0.?', '312.12.0.?', '420.24.0.?', '728.12.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4949958380728797995074242481', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 8, 2275], [5, 18, 819], [7, 8, 2925], [13, 14, 1575]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.32926700262516213956884271523', 'prec': 103}, 'szpiro_ratio': 4.454709048016385, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 135871
    {'Ciso': '20475w', 'Clabel': '20475w4', 'Cnumber': 4, 'abc_quality': 0.9710184073087608, 'absD': 18071077373276484375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, -1, 0, 269208, -197401509], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20475, 'degree': 368640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3764392837362124819840771217', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [189425802193991, 1586486902455], 'lmfdb_iso': '20475.bb', 'lmfdb_label': '20475.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1197, 58968], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '84.12.0.?', '312.12.0.?', '728.12.0.?', '780.12.0.?', '840.24.0.?', '910.6.0.?', '1560.24.0.?', '1820.12.0.?', '2184.24.0.?', '3640.24.0.?', '5460.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.979983352291519198029696992', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 2275], [5, 18, 819], [7, 8, 2925], [13, 14, 1575]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0224141831851074489860748366', 'prec': 100}, 'szpiro_ratio': 5.210453620906994, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}