Elliptic curve isogeny class data - 53724.b

Formats: - HTML - YAML - JSON - 2024-06-05T11:02:14.707403

• 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, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, -1, 0, 0, 0, -2, 4, -2, 0, 4, -2, -1, -10, 2, -8, 10, 0, 10, -8, 16, -10, 14, -4, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 53724, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '53724.b', 'trace_hash': 343670390917476597}
• ec_padic •

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

  
  
  • id: 2712399
    {'lmfdb_iso': '53724.b', 'p': 13, 'prec': 20, 'unit': 862999655575434057592, 'val': 1}
  • id: 2712401
    {'lmfdb_iso': '53724.b', 'p': 17, 'prec': 20, 'unit': 185495382190076999998975, 'val': 1}
  • id: 2712402
    {'lmfdb_iso': '53724.b', 'p': 19, 'prec': 20, 'unit': 1896854859844630545974898, 'val': 1}
  • id: 2712398
    {'lmfdb_iso': '53724.b', 'p': 29, 'prec': 20, 'unit': 3788245142919480351194816919, 'val': 1}
  • id: 2712408
    {'lmfdb_iso': '53724.b', 'p': 31, 'prec': 20, 'unit': 4768259858906221334350234722, 'val': 1}
  • id: 2712396
    {'lmfdb_iso': '53724.b', 'p': 41, 'prec': 20, 'unit': 1088493445939395877919082866475, 'val': 1}
  • id: 2712397
    {'lmfdb_iso': '53724.b', 'p': 43, 'prec': 20, 'unit': 333658394150150779565193599184, 'val': 1}
  • id: 2712400
    {'lmfdb_iso': '53724.b', 'p': 47, 'prec': 20, 'unit': 40698517896904714546950595928210, 'val': 1}
  • id: 2712403
    {'lmfdb_iso': '53724.b', 'p': 53, 'prec': 20, 'unit': 104686795051148575977106913678613, 'val': 1}
  • id: 2712407
    {'lmfdb_iso': '53724.b', 'p': 61, 'prec': 20, 'unit': 7570236872483684037549958885355334, 'val': 1}
  • id: 2712394
    {'lmfdb_iso': '53724.b', 'p': 67, 'prec': 20, 'unit': 575631589709193269520665098599843, 'val': 1}
  • id: 2712395
    {'lmfdb_iso': '53724.b', 'p': 71, 'prec': 20, 'unit': 148479639293366898185728260489637307, 'val': 1}
  • id: 2712404
    {'lmfdb_iso': '53724.b', 'p': 73, 'prec': 20, 'unit': 31163788073827173241988762690541142, 'val': 1}
  • id: 2712406
    {'lmfdb_iso': '53724.b', 'p': 79, 'prec': 20, 'unit': 1159123430480970051057691272681253, 'val': 1}
  • id: 2712393
    {'lmfdb_iso': '53724.b', 'p': 83, 'prec': 20, 'unit': 1662015964249319873603367118814726837, 'val': 1}
  • id: 2712405
    {'lmfdb_iso': '53724.b', 'p': 89, 'prec': 20, 'unit': 7526703577046822220454055439369935207, 'val': 1}
  • id: 2712392
    {'lmfdb_iso': '53724.b', 'p': 97, 'prec': 20, 'unit': 7200074847029848694015538174862738249, '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: 356658
    {'Ciso': '53724b', 'Clabel': '53724b2', 'Cnumber': 2, 'abc_quality': 1.0717129218404469, 'absD': 18255392221600512, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, -1, 0, -18976228, -31810947320], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 53724, 'degree': 1382400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6402934326332935390414456593', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [1666315860501346000, 40252707], 'lmfdb_iso': '53724.b', 'lmfdb_label': '53724.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -156828, 23957064], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '148.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.923223897766828920361250782', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97924767586081139406565245601', 'prec': 103}, 'szpiro_ratio': 5.682324913175771, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 356657
    {'Ciso': '53724b', 'Clabel': '53724b1', 'Cnumber': 1, 'abc_quality': 1.3018384230554119, 'absD': 906694759276553808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, -1, 0, -1187413, -495517394], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 53724, 'degree': 691200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2937198423533208843328295986', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [6532108386304000, 31987847133], 'lmfdb_iso': '53724.b', 'lmfdb_label': '53724.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9813, 375858], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4616119488834144601806253908', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86372314576748717582944710247', 'prec': 103}, 'szpiro_ratio': 4.918964358421352, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}