Elliptic curve isogeny class data - 54450.ea

Formats: - HTML - YAML - JSON - 2024-06-14T22:02:30.643063

• 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, 0, 0, -4, 1, 0, 0, 0, 0, -4, -4, 0, 1, -6, 0, -2, 0], 'aplist': [1, 0, 0, -4, 0, -4, -6, -2, 6, 6, 8, -2, 6, -10, 6, -6, 0, -8, 4, -6, 14, 16, 12, 0, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 54450, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '54450.ea', 'trace_hash': 1846365333689734882}
• ec_padic •

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

  
  
  • id: 2753749
    {'lmfdb_iso': '54450.ea', 'p': 7, 'prec': 20, 'unit': 9965168196277143, 'val': 1}
  • id: 2753753
    {'lmfdb_iso': '54450.ea', 'p': 13, 'prec': 20, 'unit': 995760093761206244871, 'val': 1}
  • id: 2753755
    {'lmfdb_iso': '54450.ea', 'p': 17, 'prec': 20, 'unit': 222925225764739234559505, 'val': 1}
  • id: 2753756
    {'lmfdb_iso': '54450.ea', 'p': 19, 'prec': 20, 'unit': 1046885057224319348296633, 'val': 1}
  • id: 2753759
    {'lmfdb_iso': '54450.ea', 'p': 23, 'prec': 20, 'unit': 38053237980224417385309230, 'val': 1}
  • id: 2753752
    {'lmfdb_iso': '54450.ea', 'p': 29, 'prec': 20, 'unit': 4191493194146634029638267734, 'val': 1}
  • id: 2753763
    {'lmfdb_iso': '54450.ea', 'p': 31, 'prec': 20, 'unit': 4605761099176108173631816906, 'val': 1}
  • id: 2753748
    {'lmfdb_iso': '54450.ea', 'p': 37, 'prec': 20, 'unit': 6754616214413619199519019337, 'val': 1}
  • id: 2753750
    {'lmfdb_iso': '54450.ea', 'p': 41, 'prec': 20, 'unit': 3968798256407385258389357859568, 'val': 1}
  • id: 2753751
    {'lmfdb_iso': '54450.ea', 'p': 43, 'prec': 20, 'unit': 7842786892088560179337420376748, 'val': 1}
  • id: 2753754
    {'lmfdb_iso': '54450.ea', 'p': 47, 'prec': 20, 'unit': 43477417598847030490264870007018, 'val': 1}
  • id: 2753757
    {'lmfdb_iso': '54450.ea', 'p': 53, 'prec': 20, 'unit': 567317784755398761645306050074288, 'val': 1}
  • id: 2753762
    {'lmfdb_iso': '54450.ea', 'p': 61, 'prec': 20, 'unit': 65542254717543052983039560720805, 'val': 1}
  • id: 2753747
    {'lmfdb_iso': '54450.ea', 'p': 67, 'prec': 20, 'unit': 2096145075950301608131598782371125, 'val': 1}
  • id: 2753760
    {'lmfdb_iso': '54450.ea', 'p': 71, 'prec': 20, 'unit': 106082990534266848005093270276968819, 'val': 1}
  • id: 2753758
    {'lmfdb_iso': '54450.ea', 'p': 73, 'prec': 20, 'unit': 47724918792063230638871264204686920, 'val': 1}
  • id: 2753761
    {'lmfdb_iso': '54450.ea', 'p': 79, 'prec': 20, 'unit': 530496497044729578035704051356992224, 'val': 1}
  • id: 2753746
    {'lmfdb_iso': '54450.ea', 'p': 83, 'prec': 20, 'unit': 1579746986775856190947047543786934504, 'val': 1}
  • id: 2753745
    {'lmfdb_iso': '54450.ea', 'p': 97, 'prec': 20, 'unit': 8322420768700633904053513734457550614, '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: 361667
    {'Ciso': '54450eh', 'Clabel': '54450eh3', 'Cnumber': 3, 'abc_quality': 1.060526939392005, 'absD': 5993218543640625000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [1, -1, 1, -292238255, 1922956224247], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 54450, 'degree': 14929920, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4255689977564840234496909886', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5066026756449723, 11000000], 'lmfdb_iso': '54450.ea', 'lmfdb_label': '54450.ea1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10734, 430740], 'min_quad_twist_disc': 165, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '30.24.0-6.a.1.3', '66.24.0.b.1', '88.6.0.?', '120.48.0.?', '165.8.0.?', '264.48.1.?', '330.48.0.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5660077827310054493547120960', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59794318863916629557190560531', 'prec': 103}, 'szpiro_ratio': 6.427565141213432, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 361668
    {'Ciso': '54450eh', 'Clabel': '54450eh4', 'Cnumber': 4, 'abc_quality': 1.0252808036159649, 'absD': 128760554648529052734375000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [1, -1, 1, -288971255, 1968047358247], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 54450, 'degree': 29859840, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7721425880364566781583070493', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-4898016158612283, 236328125000], 'lmfdb_iso': '54450.ea', 'lmfdb_label': '54450.ea2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10614, 440748], 'min_quad_twist_disc': 165, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '60.24.0-6.a.1.5', '88.6.0.?', '120.48.0.?', '132.24.0.?', '165.8.0.?', '264.48.1.?', '330.24.0.?', '660.48.0.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1320155654620108987094241919', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94451677891913895028052166601', 'prec': 103}, 'szpiro_ratio': 6.431815941565443, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 361665
    {'Ciso': '54450eh', 'Clabel': '54450eh1', 'Cnumber': 1, 'abc_quality': 1.100121500224687, 'absD': 6519253776076800000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [1, -1, 1, -4742255, 843152247], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 54450, 'degree': 4976640, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8762628534224291777520683701', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15781142246787, 8722841600], 'lmfdb_iso': '54450.ea', 'lmfdb_label': '54450.ea3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -14109, 140165], 'min_quad_twist_disc': 165, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '30.24.0-6.a.1.4', '66.24.0.b.1', '88.6.0.?', '120.48.0.?', '165.8.0.?', '264.48.1.?', '330.48.0.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85533592757700181645157069865', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59794318863916629557190560527', 'prec': 103}, 'szpiro_ratio': 5.2938533650528115, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 361666
    {'Ciso': '54450eh', 'Clabel': '54450eh2', 'Cnumber': 2, 'abc_quality': 1.0709081254433794, 'absD': 423687830857335000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [1, -1, 1, 18489745, 6651152247], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 54450, 'degree': 9953280, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2228364437024018324606844308', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [935355271080573, 566899520000], 'lmfdb_iso': '54450.ea', 'lmfdb_label': '54450.ea4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 55011, 1066373], 'min_quad_twist_disc': 165, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '60.24.0-6.a.1.9', '88.6.0.?', '120.48.0.?', '132.24.0.?', '165.8.0.?', '264.48.1.?', '330.24.0.?', '660.48.0.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7106718551540036329031413973', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94451677891913895028052166597', 'prec': 103}, 'szpiro_ratio': 5.668185914798458, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}