Elliptic curve isogeny class data - 81288.f

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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, 6, 0, -6, 0, 0, 0, 0, 0, -8, 0], 'aplist': [0, 0, -2, 0, 6, -6, 0, -8, -4, 0, -8, -2, 0, 12, 4, -6, -6, 14, 0, 0, -2, 16, 2, 12, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 81288, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '81288.f', 'trace_hash': 1756029207534820531}
• ec_padic •

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

  
  
  • id: 4190530
    {'lmfdb_iso': '81288.f', 'p': 5, 'prec': 20, 'unit': 13590355543066, 'val': 1}
  • id: 4190529
    {'lmfdb_iso': '81288.f', 'p': 11, 'prec': 20, 'unit': 8387920291904481096, 'val': 1}
  • id: 4190534
    {'lmfdb_iso': '81288.f', 'p': 13, 'prec': 20, 'unit': 513727267740604774853, 'val': 1}
  • id: 4190537
    {'lmfdb_iso': '81288.f', 'p': 19, 'prec': 20, 'unit': 1283884236438627867959605, 'val': 1}
  • id: 4190539
    {'lmfdb_iso': '81288.f', 'p': 23, 'prec': 20, 'unit': 5993714779654151127217667, 'val': 1}
  • id: 4190531
    {'lmfdb_iso': '81288.f', 'p': 31, 'prec': 20, 'unit': 11176684417699043772237529659, 'val': 1}
  • id: 4190543
    {'lmfdb_iso': '81288.f', 'p': 37, 'prec': 20, 'unit': 118190695197036620761080108926, 'val': 1}
  • id: 4190533
    {'lmfdb_iso': '81288.f', 'p': 43, 'prec': 20, 'unit': 4286350835943590940394128393527, 'val': 1}
  • id: 4190541
    {'lmfdb_iso': '81288.f', 'p': 47, 'prec': 20, 'unit': 34241289028365063319288848333439, 'val': 1}
  • id: 4190538
    {'lmfdb_iso': '81288.f', 'p': 53, 'prec': 20, 'unit': 429730637751359766172411644201813, 'val': 1}
  • id: 4190536
    {'lmfdb_iso': '81288.f', 'p': 59, 'prec': 20, 'unit': 4077008107987579033741587069853930, 'val': 1}
  • id: 4190542
    {'lmfdb_iso': '81288.f', 'p': 61, 'prec': 20, 'unit': 4884060478069433264581679624583992, 'val': 1}
  • id: 4190532
    {'lmfdb_iso': '81288.f', 'p': 73, 'prec': 20, 'unit': 49886660055241330119444176333432979, 'val': 1}
  • id: 4190535
    {'lmfdb_iso': '81288.f', 'p': 79, 'prec': 20, 'unit': 881227659113393364333386292469676309, 'val': 1}
  • id: 4190528
    {'lmfdb_iso': '81288.f', 'p': 83, 'prec': 20, 'unit': 2082273184542703129614288905631548980, 'val': 1}
  • id: 4190540
    {'lmfdb_iso': '81288.f', 'p': 89, 'prec': 20, 'unit': 9381979666962411384490590461247491448, 'val': 1}
  • id: 4190527
    {'lmfdb_iso': '81288.f', 'p': 97, 'prec': 20, 'unit': 42311107864752911639505189321137358552, '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: 535775
    {'Ciso': '81288k', 'Clabel': '81288k2', 'Cnumber': 2, 'abc_quality': 0.8823350134503551, 'absD': 153599203584, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 13548, 'ainvs': [0, 0, 0, -54111, 4844770], 'analytic_rank': 1, 'bad_primes': [2, 3, 1129], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 81288, 'degree': 221184, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3132608206555490663478876919', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [93888607626448, 823041], 'lmfdb_iso': '81288.f', 'lmfdb_label': '81288.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6012, -181440], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '2258.6.0.?', '13548.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2314461933269837595853961301', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 10161], [3, 6, 9032], [1129, 1130, 72]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30185655594819734770544365913', 'prec': 103}, 'szpiro_ratio': 3.9192417054615496, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 535774
    {'Ciso': '81288k', 'Clabel': '81288k1', 'Cnumber': 1, 'abc_quality': 0.9460280203305138, 'absD': 401420140848, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 13548, 'ainvs': [0, 0, 0, -3306, 79261], 'analytic_rank': 1, 'bad_primes': [2, 3, 1129], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 81288, 'degree': 110592, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96668723037557641163927163122', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [-342597941248, 34415307], 'lmfdb_iso': '81288.f', 'lmfdb_label': '81288.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -367, -3058], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '4516.6.0.?', '13548.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4628923866539675191707922603', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 9032], [1129, 1130, 72]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18633202585487312946923830561', 'prec': 103}, 'szpiro_ratio': 3.19166236197735, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}