Elliptic curve isogeny class data - 172197.j

Formats: - HTML - YAML - JSON - 2025-10-08T15:22:07.472073

• 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, 3, 0, -1, 0, 0, 6, -3, 0, 0, -2, 0, -4, 3, 0, 0, 6], 'aplist': [2, 0, 3, -1, -3, 0, 3, 0, 8, 2, 2, 4, 6, -5, -13, -1, -14, 1, -12, 10, 11, -2, 4, 16, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 172197, 'isogeny_matrix': [[1]], 'lmfdb_iso': '172197.j', 'trace_hash': 297790404695130788}
• lmfdb_iso 172197.j 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[]

  
  {'Ciso': '172197j', 'Clabel': '172197j1', 'Cnumber': 1, 'abc_quality': 0.8896150397850966, 'absD': 660787282691622819, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, 0, 1, 198189, -19398967], 'analytic_rank': 1, 'bad_primes': [3, 19, 53], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 172197, 'degree': 3179520, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1074333426168207575866205155', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [25102282752, 19266931], 'lmfdb_iso': '172197.j', 'lmfdb_label': '172197.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 61, -105], 'min_quad_twist_disc': 57, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2495063807652035953778743076', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3249], [3, 6, 19133], [19, 200, 477], [53, 54, 3249]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.085907708699545681884484181094', 'prec': 107}, 'szpiro_ratio': 3.998254406429499, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}