Elliptic curve isogeny class data - 31680.bx

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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, -1, 0, 5, 0, 0, 0, 1, 0, -2, 0, 0, 0, -3, 0, 7, 0], 'aplist': [0, 0, -1, 5, 1, -2, -3, 7, 6, -3, -7, 7, -6, -8, -6, -3, -6, 1, -8, -3, 2, -10, -6, -9, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 31680, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '31680.bx', 'trace_hash': 2010006633287598453}
• ec_padic •

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

  
  
  • id: 1540859
    {'lmfdb_iso': '31680.bx', 'p': 7, 'prec': 20, 'unit': 3874195942605773, 'val': 1}
  • id: 1540863
    {'lmfdb_iso': '31680.bx', 'p': 13, 'prec': 20, 'unit': 549500008664541291449, 'val': 1}
  • id: 1540865
    {'lmfdb_iso': '31680.bx', 'p': 17, 'prec': 20, 'unit': 36957020124237390004938, 'val': 1}
  • id: 1540866
    {'lmfdb_iso': '31680.bx', 'p': 19, 'prec': 20, 'unit': 631234739929221591980690, 'val': 1}
  • id: 1540870
    {'lmfdb_iso': '31680.bx', 'p': 23, 'prec': 20, 'unit': 41086006848202901734889571, 'val': 1}
  • id: 1540862
    {'lmfdb_iso': '31680.bx', 'p': 29, 'prec': 20, 'unit': 69996001809236901090345667, 'val': 2}
  • id: 1540875
    {'lmfdb_iso': '31680.bx', 'p': 31, 'prec': 20, 'unit': 6289079217510361091287124972, 'val': 1}
  • id: 1540858
    {'lmfdb_iso': '31680.bx', 'p': 37, 'prec': 20, 'unit': 72936688169769731604248780524, 'val': 1}
  • id: 1540860
    {'lmfdb_iso': '31680.bx', 'p': 41, 'prec': 20, 'unit': 956457036060176105160907259580, 'val': 1}
  • id: 1540861
    {'lmfdb_iso': '31680.bx', 'p': 43, 'prec': 20, 'unit': 3357423493592086589981171113785, 'val': 1}
  • id: 1540873
    {'lmfdb_iso': '31680.bx', 'p': 47, 'prec': 20, 'unit': 10290654718849749281788050814904, 'val': 1}
  • id: 1540867
    {'lmfdb_iso': '31680.bx', 'p': 53, 'prec': 20, 'unit': 164323141784118963348255493307537, 'val': 1}
  • id: 1540868
    {'lmfdb_iso': '31680.bx', 'p': 59, 'prec': 20, 'unit': 1401086614829206763776431078572156, 'val': 1}
  • id: 1540874
    {'lmfdb_iso': '31680.bx', 'p': 61, 'prec': 20, 'unit': 488117413416805797824499063604737893, 'val': -1}
  • id: 1540857
    {'lmfdb_iso': '31680.bx', 'p': 67, 'prec': 20, 'unit': 875062925241213458859379071933156, 'val': 1}
  • id: 1540872
    {'lmfdb_iso': '31680.bx', 'p': 71, 'prec': 20, 'unit': 33872626142250717968870367553462855, 'val': 1}
  • id: 1540869
    {'lmfdb_iso': '31680.bx', 'p': 73, 'prec': 20, 'unit': 227616249772876255194909970013630709, 'val': 1}
  • id: 1540864
    {'lmfdb_iso': '31680.bx', 'p': 79, 'prec': 20, 'unit': 410345925893824203949143771661628657, 'val': 1}
  • id: 1540856
    {'lmfdb_iso': '31680.bx', 'p': 83, 'prec': 20, 'unit': 2631989165189030396586833095055445758, 'val': 1}
  • id: 1540871
    {'lmfdb_iso': '31680.bx', 'p': 89, 'prec': 20, 'unit': 6058338981728038374667748606305144919, 'val': 1}
  • id: 1540855
    {'lmfdb_iso': '31680.bx', 'p': 97, 'prec': 20, 'unit': 22853685672703415382400195378286133759, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 210680
    {'Ciso': '31680bb', 'Clabel': '31680bb1', 'Cnumber': 1, 'abc_quality': 0.9395996129829801, 'absD': 162789159075840, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -50988, -4473808], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 31680, 'degree': 161280, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5418357476907203421241859930', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1, 3], 'jinv': [-76711450249, 851840], 'lmfdb_iso': '31680.bx', 'lmfdb_label': '31680.bx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -89, 316], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.1', '330.8.0.?', '440.2.0.?', '1320.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4856388881770592665440803410', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047191167483252467699284807649', 'prec': 110}, 'szpiro_ratio': 4.26023047798274, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 210681
    {'Ciso': '31680bb', 'Clabel': '31680bb2', 'Cnumber': 2, 'abc_quality': 0.9894443201631888, 'absD': 551061483945984000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 170772, -23190352], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 31680, 'degree': 483840, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0911418920247751878218086114', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 49, 'isogeny_degrees': [1, 3], 'jinv': [2882081488391, 2883584000], 'lmfdb_iso': '31680.bx', 'lmfdb_label': '31680.bx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 296, 1702], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '330.8.0.?', '440.2.0.?', '1320.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.456916664531177799632241023', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50211497685080237799833781075', 'prec': 103}, 'szpiro_ratio': 4.608301198428897, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}