Elliptic curve isogeny class data - 422142.s

Formats: - HTML - YAML - JSON - 2025-10-08T02:26:54.071773

• 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, -1, 1, 4, 1, 1, -1, 1, -4, 4, -1, 3, -1, -4, 1, 4, -1, -1, 4], 'aplist': [-1, -1, 4, 1, 4, 3, 4, -1, 0, 3, -2, 1, -2, 11, -6, -14, -15, 1, 4, -16, 2, -10, 11, -5, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 422142, 'isogeny_matrix': [[1]], 'lmfdb_iso': '422142.s', 'trace_hash': 1607079809746289177}
• lmfdb_iso 422142.s 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': '422142s', 'Clabel': '422142s1', 'Cnumber': 1, 'abc_quality': 1.120315546622544, 'absD': 157053008171151654912, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 36708, 'ainvs': [1, 1, 0, -390148, -610364720], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 422142, 'degree': 28740096, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5559554747031231682710074304', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [-44365623586201, 1060911710208], 'lmfdb_iso': '422142.s', 'lmfdb_label': '422142.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -737, 49845], 'min_quad_twist_disc': -23, 'modell_images': [], 'modm_images': ['36708.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.349355308974852679050136605', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 211071], [3, 4, 10051], [7, 8, 60306], [19, 20, 22218], [23, 288, 798]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98820836673854832286763101450', 'prec': 103}, 'szpiro_ratio': 4.167478028587103, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}