Elliptic curve isogeny class data - 54.a

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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, -1, -1, 0, -3, -3, 0, -4, 1, 0, 1, 0, 0, 2, 3], 'aplist': [-1, 0, 3, -1, -3, -4, 0, 2, -6, 6, 5, 2, -6, -10, 6, 9, 12, 8, 14, 0, -7, 8, -3, -18, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 54, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '54.a', 'trace_hash': 1215354540506513513}
• lmfdb_iso 54.a 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: 136
    {'Ciso': '54a', 'Clabel': '54a2', 'Cnumber': 2, 'abc_quality': 1.0496550478531228, 'absD': 90699264, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 72, 'ainvs': [1, -1, 0, -123, -667], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 54, 'degree': 18, 'elladic_images': ['9.72.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23410171623414367867375293346', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-1167051, 512], 'lmfdb_iso': '54.a', 'lmfdb_label': '54.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -123, -667], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.72.0-9.d.1.1', '24.16.0-24.d.1.7', '72.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 27], [3, 4, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77295954837829020510522186705', 'prec': 107}, 'szpiro_ratio': 6.6731168997759465, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 137
    {'Ciso': '54a', 'Clabel': '54a3', 'Cnumber': 3, 'abc_quality': 1.094532742732785, 'absD': 54, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 72, 'ainvs': [1, -1, 0, -3, 3], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 54, 'degree': 18, 'elladic_images': ['9.72.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.86451057243396601272149230346', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-132651, 2], 'lmfdb_iso': '54.a', 'lmfdb_label': '54.a2', 'lmfdb_number': 2, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, -1, 0, -3, 3], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.72.0-9.d.2.1', '24.16.0-24.d.1.8', '72.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 27], [3, 6, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1391636446009934355703036127', 'prec': 103}, 'szpiro_ratio': 3.789695147843883, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 135
    {'Ciso': '54a', 'Clabel': '54a1', 'Cnumber': 1, 'abc_quality': 1.198754152359422, 'absD': 157464, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 72, 'ainvs': [1, -1, 0, 12, 8], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 54, 'degree': 6, 'elladic_images': ['9.72.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.31520442809991116702386968500', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [9261, 8], 'lmfdb_iso': '54.a', 'lmfdb_label': '54.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12, 8], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.a.1.2', '24.48.1-24.ci.1.1', '72.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 27], [3, 2, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1391636446009934355703036127', 'prec': 103}, 'szpiro_ratio': 4.768401600293733, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}