Elliptic curve isogeny class data - 57.b

Formats: - HTML - YAML - JSON - 2024-07-27T02:45:05.935384

• 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, -2, 1, 2, 1, -2, 3, 0, 1, -2, -3, 2, -6, -6, 1, -4, 3, -2, -1, 2], 'aplist': [-2, 1, 1, 3, -3, -6, 3, -1, 4, -10, 2, 8, -8, -1, 3, -6, 0, 7, 8, 12, -11, 0, 4, 10, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 57, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '57.b', 'trace_hash': 27661726142936421}
• lmfdb_iso 57.b 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 157
    {'Ciso': '57c', 'Clabel': '57c2', 'Cnumber': 2, 'abc_quality': 1.0683303788164564, 'absD': 22284891, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 190, 'ainvs': [0, 1, 1, -4390, -113432], 'analytic_rank': 0, 'bad_primes': [3, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 57, 'degree': 60, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.65140725122842848756374343035', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [-9358714467168256, 22284891], 'lmfdb_iso': '57.b', 'lmfdb_label': '57.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -4390, -113432], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '38.2.0.a.1', '190.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.65140725122842848756374343035', 'prec': 103}, 'szpiro_ratio': 9.095874875488168, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 156
    {'Ciso': '57c', 'Clabel': '57c1', 'Cnumber': 1, 'abc_quality': 1.0048983874206856, 'absD': 1121931, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 190, 'ainvs': [0, 1, 1, 20, -32], 'analytic_rank': 0, 'bad_primes': [3, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 57, 'degree': 12, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.15331170498862169973663623627', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [841232384, 1121931], 'lmfdb_iso': '57.b', 'lmfdb_label': '57.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 20, -32], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '38.2.0.a.1', '190.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15331170498862169973663623627', 'prec': 107}, 'szpiro_ratio': 5.148653052228041, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}