Elliptic curve isogeny class data - 32370.bk

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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, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -3, 1, -8, 1], 'aplist': [1, 1, 1, 1, -2, 1, -3, -8, 3, 2, 4, -4, -7, 2, -1, -9, 4, -8, -9, 2, 4, -4, -1, -8, 0], 'class_deg': 7, 'class_size': 2, 'conductor': 32370, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '32370.bk', 'trace_hash': 546066596270975915}
• ec_padic •

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

  
  
  • id: 1577350
    {'lmfdb_iso': '32370.bk', 'p': 7, 'prec': 20, 'unit': 40527866788274129, 'val': 0}
  • id: 1577355
    {'lmfdb_iso': '32370.bk', 'p': 11, 'prec': 20, 'unit': 29126868787595822014, 'val': 1}
  • id: 1577356
    {'lmfdb_iso': '32370.bk', 'p': 17, 'prec': 20, 'unit': 11443797341965841442013, 'val': 2}
  • id: 1577357
    {'lmfdb_iso': '32370.bk', 'p': 19, 'prec': 20, 'unit': 1650382188841642815930886, 'val': 1}
  • id: 1577361
    {'lmfdb_iso': '32370.bk', 'p': 23, 'prec': 20, 'unit': 37859401630456341810085298, 'val': 1}
  • id: 1577353
    {'lmfdb_iso': '32370.bk', 'p': 29, 'prec': 20, 'unit': 2763545184384648044717268518, 'val': 1}
  • id: 1577366
    {'lmfdb_iso': '32370.bk', 'p': 31, 'prec': 20, 'unit': 4529300309661409791343494662, 'val': 1}
  • id: 1577349
    {'lmfdb_iso': '32370.bk', 'p': 37, 'prec': 20, 'unit': 155914135825769661391805073025, 'val': 1}
  • id: 1577351
    {'lmfdb_iso': '32370.bk', 'p': 41, 'prec': 20, 'unit': 1668436373235079005099490645000, 'val': 1}
  • id: 1577352
    {'lmfdb_iso': '32370.bk', 'p': 43, 'prec': 20, 'unit': 711263231622821212268678247626, 'val': 1}
  • id: 1577364
    {'lmfdb_iso': '32370.bk', 'p': 47, 'prec': 20, 'unit': 56438014719649620542986717717451, 'val': 1}
  • id: 1577358
    {'lmfdb_iso': '32370.bk', 'p': 53, 'prec': 20, 'unit': 64076554334712618936098810443588, 'val': 1}
  • id: 1577359
    {'lmfdb_iso': '32370.bk', 'p': 59, 'prec': 20, 'unit': 2704240177590670746007214019884337, 'val': 1}
  • id: 1577365
    {'lmfdb_iso': '32370.bk', 'p': 61, 'prec': 20, 'unit': 438916480871217132860117080974541, 'val': 1}
  • id: 1577348
    {'lmfdb_iso': '32370.bk', 'p': 67, 'prec': 20, 'unit': 24955404639651459738869774578621977, 'val': 1}
  • id: 1577363
    {'lmfdb_iso': '32370.bk', 'p': 71, 'prec': 20, 'unit': 6156464403987530609151264465547066, 'val': 1}
  • id: 1577360
    {'lmfdb_iso': '32370.bk', 'p': 73, 'prec': 20, 'unit': 70144750907102267793177565709985256, 'val': 1}
  • id: 1577354
    {'lmfdb_iso': '32370.bk', 'p': 79, 'prec': 20, 'unit': 1108977153846783494897067966168324530, 'val': 1}
  • id: 1577362
    {'lmfdb_iso': '32370.bk', 'p': 89, 'prec': 20, 'unit': 1375006641173659067719967205698992812, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 215306
    {'Ciso': '32370bk', 'Clabel': '32370bk2', 'Cnumber': 2, 'abc_quality': 1.0291985959437848, 'absD': 10583059885954530, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 906360, 'ainvs': [1, 0, 0, -1546933295, -23418435858105], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 83], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 32370, 'degree': 6991712, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5174050487602946826263405144', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 7], 'jinv': [409391171678522880998024667047281, 10583059885954530], 'lmfdb_iso': '32370.bk', 'lmfdb_label': '32370.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1546933295, -23418435858105], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '129480.2.0.?', '906360.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6312314638802287071300423167', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 16185], [3, 4, 10790], [5, 6, 6474], [7, 2, 390], [13, 14, 2490], [83, 84, 390]], 'sha': 49, 'sha_primes': [7], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.5174050487602946826263405144', 'prec': 100}, 'szpiro_ratio': 7.230844043448585, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 215305
    {'Ciso': '32370bk', 'Clabel': '32370bk1', 'Cnumber': 1, 'abc_quality': 0.987305727649173, 'absD': 113901735543570000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 906360, 'ainvs': [1, 0, 0, -1330145, 291422025], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 83], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 32370, 'degree': 998816, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5444499742326380300736641427', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 7], 'jinv': [260267950003303480801681, 113901735543570000000], 'lmfdb_iso': '32370.bk', 'lmfdb_label': '32370.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1330145, 291422025], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '129480.2.0.?', '906360.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 20, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3758902091257469581614346167', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 16185], [3, 4, 10790], [5, 6, 6474], [7, 2, 83], [13, 14, 2490], [83, 84, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5444499742326380300736641427', 'prec': 100}, 'szpiro_ratio': 5.191725018917374, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}