Elliptic curve isogeny class data - 272322.g

Formats: - HTML - YAML - JSON - 2026-07-02T14:57:31.338568

• 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, -1, 0, 2, -1, 0, 1, -4, 0, -5, -2, 0, 1, -1, 0, 4, -1], 'aplist': [-1, 0, -1, 2, -4, -5, -1, 4, -6, -9, -2, -5, 0, -2, 6, -6, -8, -1, 12, -6, 3, -6, 6, -13, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 272322, 'isogeny_matrix': [[1]], 'lmfdb_iso': '272322.g', 'trace_hash': 1161529638042187450}
• lmfdb_iso 272322.g 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': '272322g', 'Clabel': '272322g1', 'Cnumber': 1, 'abc_quality': 0.9534544575843064, 'absD': 10596826211267395584, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 4, 'ainvs': [1, -1, 0, -1513215, -733012211], 'analytic_rank': 1, 'bad_primes': [2, 3, 41], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 272322, 'degree': 6773760, 'elladic_images': ['4.4.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4314814404842205298904605931', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-995950209609, 27541504], 'lmfdb_iso': '272322.g', 'lmfdb_label': '272322.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -900, -10416], 'min_quad_twist_disc': 41, 'modell_images': [], 'modm_images': ['4.4.0-4.a.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1483490842050752931099633351', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 136161], [3, 8, 3362], [7, 2, 136161], [41, 882, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20849131090936339749199716094', 'prec': 103}, 'szpiro_ratio': 4.342840623375616, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}