Elliptic curve isogeny class data - 27378.l

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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, -3, 0, -2, 1, 0, -3, 0, 0, 0, -2, 0, 1, -6, 0, -8, -3], 'aplist': [1, 0, -3, -2, 0, 0, -6, -8, -6, -6, -8, 7, 3, 2, 0, -9, 6, -10, -14, -12, -11, -10, 6, 15, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 27378, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '27378.l', 'trace_hash': 1558011357861287417}
• ec_padic •

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

  
  
  • id: 1311651
    {'lmfdb_iso': '27378.l', 'p': 5, 'prec': 20, 'unit': 7667092220502, 'val': 2}
  • id: 1311652
    {'lmfdb_iso': '27378.l', 'p': 7, 'prec': 20, 'unit': 2562097266936967, 'val': 2}
  • id: 1311658
    {'lmfdb_iso': '27378.l', 'p': 17, 'prec': 20, 'unit': 41971900524155271648829, 'val': 2}
  • id: 1311648
    {'lmfdb_iso': '27378.l', 'p': 19, 'prec': 20, 'unit': 1171436077535612118249681, 'val': 2}
  • id: 1311662
    {'lmfdb_iso': '27378.l', 'p': 23, 'prec': 20, 'unit': 39361051863717049866090497, 'val': 2}
  • id: 1311656
    {'lmfdb_iso': '27378.l', 'p': 29, 'prec': 20, 'unit': 249772700938933865901358837, 'val': 2}
  • id: 1311653
    {'lmfdb_iso': '27378.l', 'p': 31, 'prec': 20, 'unit': 15881671366279665446796080409, 'val': 2}
  • id: 1311667
    {'lmfdb_iso': '27378.l', 'p': 37, 'prec': 20, 'unit': 266945786081205618432368167987, 'val': 2}
  • id: 1311654
    {'lmfdb_iso': '27378.l', 'p': 41, 'prec': 20, 'unit': 397365686220814625184277704822, 'val': 2}
  • id: 1311655
    {'lmfdb_iso': '27378.l', 'p': 43, 'prec': 20, 'unit': 7945535835384128552319536237442, 'val': 2}
  • id: 1311660
    {'lmfdb_iso': '27378.l', 'p': 53, 'prec': 20, 'unit': 295123279341066603212480748088476, 'val': 2}
  • id: 1311665
    {'lmfdb_iso': '27378.l', 'p': 59, 'prec': 20, 'unit': 2976594833790493064128253300660390, 'val': 2}
  • id: 1311666
    {'lmfdb_iso': '27378.l', 'p': 61, 'prec': 20, 'unit': 1896008672372892876206867659532961, 'val': 2}
  • id: 1311650
    {'lmfdb_iso': '27378.l', 'p': 67, 'prec': 20, 'unit': 36294475930155232794020515309496872, 'val': 2}
  • id: 1311664
    {'lmfdb_iso': '27378.l', 'p': 71, 'prec': 20, 'unit': 71359040648235099064385838791194892, 'val': 2}
  • id: 1311661
    {'lmfdb_iso': '27378.l', 'p': 73, 'prec': 20, 'unit': 149781220612433280584973898719441703, 'val': 2}
  • id: 1311657
    {'lmfdb_iso': '27378.l', 'p': 79, 'prec': 20, 'unit': 457787873378114044626648124834434258, 'val': 2}
  • id: 1311659
    {'lmfdb_iso': '27378.l', 'p': 83, 'prec': 20, 'unit': 1977329951888508892298181066971266155, 'val': 2}
  • id: 1311663
    {'lmfdb_iso': '27378.l', 'p': 89, 'prec': 20, 'unit': 7377416873536353058191206427066539404, 'val': 2}
  • id: 1311649
    {'lmfdb_iso': '27378.l', 'p': 97, 'prec': 20, 'unit': 50127260750955007855701406506069503593, '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: 181704
    {'Ciso': '27378r', 'Clabel': '27378r1', 'Cnumber': 1, 'abc_quality': 0.9592626898464625, 'absD': 1971216, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 312, 'ainvs': [1, -1, 1, -344, 2539], 'analytic_rank': 2, 'bad_primes': [2, 3, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 27378, 'degree': 10368, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.16697779048813824381071957405', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [-36441873, 16], 'lmfdb_iso': '27378.l', 'lmfdb_label': '27378.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3093, -65467], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0.b.2', '39.8.0-3.a.1.1', '156.16.0.?', '312.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 16, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.31213681739100386570551815712', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 13689], [3, 6, 26], [13, 38, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80981991342283939122915095134', 'prec': 107}, 'szpiro_ratio': 2.8513407378753044, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 181705
    {'Ciso': '27378r', 'Clabel': '27378r2', 'Cnumber': 2, 'abc_quality': 1.0032628840741349, 'absD': 40875134976, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 312, 'ainvs': [1, -1, 1, 241, 9559], 'analytic_rank': 2, 'bad_primes': [2, 3, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 27378, 'degree': 31104, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71628393482219308950834219251', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [155727, 4096], 'lmfdb_iso': '27378.l', 'lmfdb_label': '27378.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 27, -363], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0.b.1', '39.8.0-3.a.1.2', '156.16.0.?', '312.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.31213681739100386570551815712', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 13689], [3, 4, 13], [13, 38, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62671786531148777599661007852', 'prec': 107}, 'szpiro_ratio': 3.118793795079932, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}