Elliptic curve isogeny class data - 27200.n

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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, -2, 0, 0, 0, 2, 0, 1, 0, 2, 0, -6, 0, 0, 0, -1, 0, 8, 0], 'aplist': [0, -2, 0, 2, 2, -6, -1, 8, 2, -6, -2, 6, 2, -4, -4, -10, 0, 10, 8, 14, -10, -14, -4, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 27200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '27200.n', 'trace_hash': 806645713845386764}
• ec_padic •

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

  
  
  • id: 1301750
    {'lmfdb_iso': '27200.n', 'p': 7, 'prec': 20, 'unit': 3476072290112217, 'val': 1}
  • id: 1301748
    {'lmfdb_iso': '27200.n', 'p': 11, 'prec': 20, 'unit': 41905284856578953869, 'val': 1}
  • id: 1301754
    {'lmfdb_iso': '27200.n', 'p': 13, 'prec': 20, 'unit': 1093144898457460201740, 'val': 1}
  • id: 1301756
    {'lmfdb_iso': '27200.n', 'p': 19, 'prec': 20, 'unit': 574071871610303890577796, 'val': 1}
  • id: 1301759
    {'lmfdb_iso': '27200.n', 'p': 23, 'prec': 20, 'unit': 50238492490631349448437743, 'val': 1}
  • id: 1301753
    {'lmfdb_iso': '27200.n', 'p': 29, 'prec': 20, 'unit': 6077242469265997807479690899, 'val': 1}
  • id: 1301765
    {'lmfdb_iso': '27200.n', 'p': 31, 'prec': 20, 'unit': 1093097632771371980291970191, 'val': 1}
  • id: 1301749
    {'lmfdb_iso': '27200.n', 'p': 37, 'prec': 20, 'unit': 167478031253057292666670963189, 'val': 1}
  • id: 1301751
    {'lmfdb_iso': '27200.n', 'p': 41, 'prec': 20, 'unit': 3912572596634052274078148731048, 'val': 1}
  • id: 1301752
    {'lmfdb_iso': '27200.n', 'p': 43, 'prec': 20, 'unit': 706227210582963332246139572097, 'val': 1}
  • id: 1301755
    {'lmfdb_iso': '27200.n', 'p': 47, 'prec': 20, 'unit': 46936354575145963196040993738255, 'val': 1}
  • id: 1301757
    {'lmfdb_iso': '27200.n', 'p': 53, 'prec': 20, 'unit': 284527294188154300034754676774747, 'val': 1}
  • id: 1301763
    {'lmfdb_iso': '27200.n', 'p': 61, 'prec': 20, 'unit': 4616597024630777293973463225775155, 'val': 1}
  • id: 1301747
    {'lmfdb_iso': '27200.n', 'p': 67, 'prec': 20, 'unit': 21499111723789526701190852066925251, 'val': 1}
  • id: 1301761
    {'lmfdb_iso': '27200.n', 'p': 71, 'prec': 20, 'unit': 27052728746425521657821951768837973, 'val': 1}
  • id: 1301758
    {'lmfdb_iso': '27200.n', 'p': 73, 'prec': 20, 'unit': 132052180842445612273123682195605019, 'val': 1}
  • id: 1301762
    {'lmfdb_iso': '27200.n', 'p': 79, 'prec': 20, 'unit': 179264591096321383427662499668167945, 'val': 1}
  • id: 1301764
    {'lmfdb_iso': '27200.n', 'p': 83, 'prec': 20, 'unit': 513953918636732143516613524694138713, 'val': 1}
  • id: 1301760
    {'lmfdb_iso': '27200.n', 'p': 89, 'prec': 20, 'unit': 7189960109571870864917210288043297796, 'val': 1}
  • id: 1301746
    {'lmfdb_iso': '27200.n', 'p': 97, 'prec': 20, 'unit': 49877307866994739708710609286586568108, '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: 180389
    {'Ciso': '27200m', 'Clabel': '27200m1', 'Cnumber': 1, 'abc_quality': 0.9887036529951482, 'absD': 27852800000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [0, 1, 0, -12033, 436063], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 27200, 'degree': 73728, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3051488386229148736751894593', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [47045881, 6800], 'lmfdb_iso': '27200.n', 'lmfdb_label': '27200.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, 6], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '34.6.0.a.1', '40.12.0-4.b.1.2', '68.12.0.e.1', '136.24.0.?', '340.24.0.?', '680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9886999733679113227769129155', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 425], [5, 18, 1088], [17, 18, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53929088843405327775103838950', 'prec': 107}, 'szpiro_ratio': 3.897759157143869, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 180390
    {'Ciso': '27200m', 'Clabel': '27200m2', 'Cnumber': 2, 'abc_quality': 0.9103514678397865, 'absD': 2959360000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [0, 1, 0, 19967, 2388063], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 27200, 'degree': 147456, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6517224289028875283838055200', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [214921799, 722500], 'lmfdb_iso': '27200.n', 'lmfdb_label': '27200.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 12, 38], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '40.12.0-4.a.1.1', '68.12.0.d.1', '136.24.0.?', '680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4943499866839556613884564577', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 1088], [17, 18, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19271729815408062304242232880', 'prec': 107}, 'szpiro_ratio': 4.200339489224993, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}