Elliptic curve isogeny class data - 9027.a

Formats: - HTML - YAML - JSON - 2024-04-30T09:59:27.975540

• 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, 0, 2, 2, 0, -2, 0, 0, -4, 3, 0, 4, 4, 0, -4, -1, 0, -1, 4], 'aplist': [-2, 0, 2, -2, 3, 4, -1, -1, -1, 6, -8, -2, 0, 4, -12, 3, -1, 5, 10, 4, 15, 6, -2, 14, -19], 'class_deg': 1, 'class_size': 1, 'conductor': 9027, 'isogeny_matrix': [[1]], 'lmfdb_iso': '9027.a', 'trace_hash': 1819622044889470840}
• lmfdb_iso 9027.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9027a', 'Clabel': '9027a1', 'Cnumber': 1, 'abc_quality': 0.8489095947574904, 'absD': 2545261947, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2006, 'ainvs': [0, 0, 1, -369, -3652], 'analytic_rank': 0, 'bad_primes': [3, 17, 59], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 9027, 'degree': 5760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51125011415952779283721544088', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-7622111232, 3491443], 'lmfdb_iso': '9027.a', 'lmfdb_label': '9027.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -41, 135], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['2006.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.038056030174527052860407177581', 'prec': 110}, 'szpiro_ratio': 3.2860287720036236, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}