Elliptic curve isogeny class data - 165825.a

Formats: - HTML - YAML - JSON - 2025-11-01T01:42:21.096676

• 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, 0, 0, -4, 0, 0, 0, -1, 0, 6, 8, 0, -4, 5, 0, 5, 0], 'aplist': [-2, 0, 0, -4, -1, 6, 5, 5, 1, 5, -2, 3, -8, 0, -9, -10, -7, -12, 1, 0, -9, 8, 16, 3, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 165825, 'isogeny_matrix': [[1]], 'lmfdb_iso': '165825.a', 'trace_hash': 1371230749492866987}
• lmfdb_iso 165825.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
  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': '165825a', 'Clabel': '165825a1', 'Cnumber': 1, 'abc_quality': 1.0263533947813446, 'absD': 475319222012801513260546875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 134, 'ainvs': [0, 0, 1, 32875575, 1046428197156], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 67], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 165825, 'degree': 122204160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7982020390167085583552091123', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [344981836779052322816, 41728985197282986075], 'lmfdb_iso': '165825.a', 'lmfdb_label': '165825.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 146114, -310101504], 'min_quad_twist_disc': -15, 'modell_images': [], 'modm_images': ['134.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.115339666916270833822306871', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 15075], [3, 6, 18425], [5, 18, 6633], [11, 12, 15075], [67, 68, 2475]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4441769384656035253572068272', 'prec': 100}, 'szpiro_ratio': 5.730737945667154, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}