Elliptic curve isogeny class data - 20592.bn

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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, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 2, 0, 1, 1, -6, 0, 4, -6, -4, 2, -10, 4, 8, 6, 4, -2, 4, -8, 14, 8, 4, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 20592, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '20592.bn', 'trace_hash': 1571588625079043951}
• ec_padic •

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

  
  
  • id: 959477
    {'lmfdb_iso': '20592.bn', 'p': 5, 'prec': 20, 'unit': 7449935356658, 'val': 1}
  • id: 959468
    {'lmfdb_iso': '20592.bn', 'p': 17, 'prec': 20, 'unit': 76629476551098625963045, 'val': 1}
  • id: 959473
    {'lmfdb_iso': '20592.bn', 'p': 23, 'prec': 20, 'unit': 39798368698966204723355526, 'val': 1}
  • id: 959466
    {'lmfdb_iso': '20592.bn', 'p': 29, 'prec': 20, 'unit': 2603693463142146580556774015, 'val': 1}
  • id: 959463
    {'lmfdb_iso': '20592.bn', 'p': 31, 'prec': 20, 'unit': 18960629390519986582345964459, 'val': 1}
  • id: 959461
    {'lmfdb_iso': '20592.bn', 'p': 37, 'prec': 20, 'unit': 563183740883560359882826818312, 'val': 1}
  • id: 959464
    {'lmfdb_iso': '20592.bn', 'p': 41, 'prec': 20, 'unit': 1686245393341558944589326807014, 'val': 1}
  • id: 959465
    {'lmfdb_iso': '20592.bn', 'p': 43, 'prec': 20, 'unit': 5140823105250810048122073478341, 'val': 1}
  • id: 959475
    {'lmfdb_iso': '20592.bn', 'p': 47, 'prec': 20, 'unit': 52166361537314930788773750908969, 'val': 1}
  • id: 959470
    {'lmfdb_iso': '20592.bn', 'p': 53, 'prec': 20, 'unit': 468358854262300228306105914406308, 'val': 1}
  • id: 959471
    {'lmfdb_iso': '20592.bn', 'p': 59, 'prec': 20, 'unit': 2510708011224329255917556194901420, 'val': 1}
  • id: 959476
    {'lmfdb_iso': '20592.bn', 'p': 61, 'prec': 20, 'unit': 4817483421560146484987387793018140, 'val': 1}
  • id: 959460
    {'lmfdb_iso': '20592.bn', 'p': 67, 'prec': 20, 'unit': 3460938785140132172509876148250419, 'val': 1}
  • id: 959462
    {'lmfdb_iso': '20592.bn', 'p': 71, 'prec': 20, 'unit': 20399034715783889673774133427822930, 'val': 1}
  • id: 959472
    {'lmfdb_iso': '20592.bn', 'p': 73, 'prec': 20, 'unit': 226712658300451037923848895556687612, 'val': 1}
  • id: 959467
    {'lmfdb_iso': '20592.bn', 'p': 79, 'prec': 20, 'unit': 486719577882507024274551564870132151, 'val': 1}
  • id: 959469
    {'lmfdb_iso': '20592.bn', 'p': 83, 'prec': 20, 'unit': 1820212351708766553595646875585399113, 'val': 1}
  • id: 959474
    {'lmfdb_iso': '20592.bn', 'p': 89, 'prec': 20, 'unit': 1239344815049029550114776514240621922, 'val': 1}
  • id: 959459
    {'lmfdb_iso': '20592.bn', 'p': 97, 'prec': 20, 'unit': 333589492667439800334052603323756136, 'val': 2}
• 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: 136565
    {'Ciso': '20592bt', 'Clabel': '20592bt4', 'Cnumber': 4, 'abc_quality': 1.059433311036222, 'absD': 23057768448, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -5930499, 5558850178], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20592, 'degree': 221184, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1767191203548655308303275916', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 4], 'jinv': [7725203825376001537, 7722], 'lmfdb_iso': '20592.bn', 'lmfdb_label': '20592.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -41184, 3199767], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '52.12.0-4.c.1.2', '88.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], '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': '5.6619380347387686439351203183', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1287], [3, 6, 2288], [11, 12, 1872], [13, 14, 1584]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93426579546086537571547285168', 'prec': 103}, 'szpiro_ratio': 5.87964069564845, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 136564
    {'Ciso': '20592bt', 'Clabel': '20592bt3', 'Cnumber': 3, 'abc_quality': 0.9801677618071025, 'absD': 997099785827278848, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -386499, 79027522], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20592, 'degree': 221184, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1767191203548655308303275916', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 4], 'jinv': [2138362647385537, 333926700822], 'lmfdb_iso': '20592.bn', 'lmfdb_label': '20592.bn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2684, 44615], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '88.12.0.?', '104.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4154845086846921609837800796', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 6, 2288], [11, 12, 1872], [13, 14, 1584]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93426579546086537571547285168', 'prec': 103}, 'szpiro_ratio': 5.054866186517869, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 136563
    {'Ciso': '20592bt', 'Clabel': '20592bt2', 'Cnumber': 2, 'abc_quality': 1.020811169592003, 'absD': 178052087955456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -370659, 86855650], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20592, 'degree': 110592, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8301455300748928761217115308', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2], 'jinv': [1886079023633377, 59629284], 'lmfdb_iso': '20592.bn', 'lmfdb_label': '20592.bn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2574, 49191], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '52.12.0-2.a.1.1', '88.12.0.?', '156.24.0.?', '264.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8309690173693843219675601591', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 2288], [11, 12, 1872], [13, 14, 1584]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58769220518089272100685679088', 'prec': 103}, 'szpiro_ratio': 5.04222703840998, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 136562
    {'Ciso': '20592bt', 'Clabel': '20592bt1', 'Cnumber': 1, 'abc_quality': 0.9803976849267315, 'absD': 245519118434304, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -22179, 1478050], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20592, 'degree': 55296, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4835719397949202214130954701', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 4], 'jinv': [-404075127457, 82223856], 'lmfdb_iso': '20592.bn', 'lmfdb_label': '20592.bn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -154, 791], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '52.12.0-4.c.1.1', '78.6.0.?', '88.12.0.?', '156.24.0.?', '264.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4154845086846921609837800796', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 6, 2288], [11, 12, 1872], [13, 14, 1584]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24111861490092006629824073018', 'prec': 103}, 'szpiro_ratio': 4.22199317168428, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}