Elliptic curve isogeny class data - 1728.x

Formats: - HTML - YAML - JSON - 2026-09-05T09:14:12.116115

• 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, 0, 0, 0, 2, 0, 3, 0, 0, 0, 6, 0, 3, 0, 0, 0, 2, 0, 3, 0], 'aplist': [0, 0, 2, 3, 6, 3, 2, 3, -6, -8, 0, -7, -8, 12, -6, 4, 6, 1, 3, -12, -15, 9, -12, 10, 9], 'class_deg': 1, 'class_size': 1, 'conductor': 1728, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1728.x', 'trace_hash': 1312092152316179483}
• lmfdb_iso 1728.x 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1728q', 'Clabel': '1728q1', 'Cnumber': 1, 'abc_quality': 1.2262943855309167, 'absD': 1259712, 'adelic_genus': 1, 'adelic_index': 24, 'adelic_level': 24, 'ainvs': [0, 0, 0, -54, 162], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1728, 'degree': 288, 'elladic_images': ['3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.079872223891064687667185569069', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1], 'jinv': [-13824, 1], 'lmfdb_iso': '1728.x', 'lmfdb_label': '1728.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -216, -1296], 'min_quad_twist_disc': -8, 'modell_images': ['3Nn'], 'modm_images': ['3.3.0.a.1', '6.6.1.b.1', '12.12.1.g.1', '24.24.1-12.g.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 27], [3, 2, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2504050306721196109222355575', 'prec': 97}, 'szpiro_ratio': 3.1789709565273077, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}