Elliptic curve isogeny class data - 54450.cb

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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, 0, 0, 0, -1, 0, 0, 0, 0, 6, 0, 0, 1, -6, 0, 0, 0], 'aplist': [-1, 0, 0, 0, 0, 6, -6, 0, -6, 0, 4, 2, 12, -12, 6, 6, 0, 0, 14, 0, 6, 12, 12, -6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 54450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '54450.cb', 'trace_hash': 1068767198977968652}
• lmfdb_iso 54450.cb does not appear in ec_padic
• 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: 361527
    {'Ciso': '54450bf', 'Clabel': '54450bf2', 'Cnumber': 2, 'abc_quality': 1.008607795198146, 'absD': 26858497917796875000000, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 660, 'ainvs': [1, -1, 0, -101440917, -393144797259], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54450, 'degree': 9123840, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2945341613542125874648084363', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2], 'jinv': [4298149261979, 1000000], 'lmfdb_iso': '54450.cb', 'lmfdb_label': '54450.cb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3726, -89077], 'min_quad_twist_disc': 165, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '12.36.0.d.1', '20.6.0.e.1', '33.12.0.a.1', '44.6.0.a.1', '60.72.1.ew.1', '66.36.0.a.1', '132.72.1.?', '220.12.0.?', '660.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 2, 3025], [5, 18, 2178], [11, 42, 450]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14208760620432964642034846775', 'prec': 103}, 'szpiro_ratio': 6.136481460761504, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 361526
    {'Ciso': '54450bf', 'Clabel': '54450bf1', 'Cnumber': 1, 'abc_quality': 1.0570730436530982, 'absD': 13751550933912000000000, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 660, 'ainvs': [1, -1, 0, -5608917, -7612661259], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54450, 'degree': 4561920, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9479605710742399327561923756', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2], 'jinv': [-726572699, 512000], 'lmfdb_iso': '54450.cb', 'lmfdb_label': '54450.cb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -206, -1781], 'min_quad_twist_disc': 165, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '12.36.0.c.1', '20.6.0.e.1', '30.36.0.d.1', '33.12.0.a.1', '44.6.0.b.1', '60.72.1.eu.1', '66.36.0.a.1', '110.6.0.?', '132.72.1.?', '220.12.0.?', '330.72.1.?', '660.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 2, 3025], [5, 18, 2178], [11, 42, 450]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20448598407564300828826759295', 'prec': 107}, 'szpiro_ratio': 5.413064173572551, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}