Elliptic curve isogeny class data - 171600.hw

Formats: - HTML - YAML - JSON - 2025-10-02T15:45:01.098266

• 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, 1, 0, 0, 0, 4, 0, 1, 0, -1, 0, 1, 0, 0, 0, 8, 0, 6, 0], 'aplist': [0, 1, 0, 4, -1, 1, 8, 6, -6, -2, 2, -4, 2, 4, 4, 8, -12, -2, 12, 16, 0, 8, 4, 10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 171600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '171600.hw', 'trace_hash': 2011454319258320363}
• lmfdb_iso 171600.hw 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[]

  
  
  • id: 1107571
    {'Ciso': '171600ck', 'Clabel': '171600ck2', 'Cnumber': 2, 'abc_quality': 1.0688232684606453, 'absD': 3914580713472000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -2948808, 1945718388], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 171600, 'degree': 6193152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4719556809242817501288283983', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 204, 'isogeny_degrees': [1, 2], 'jinv': [44308125149913793, 61165323648], 'lmfdb_iso': '171600.hw', 'lmfdb_label': '171600.hw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7372, -243952], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '88.6.0.?', '156.6.0.?', '3432.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 275], [3, 4, 4400], [5, 14, 6864], [11, 12, 15600], [13, 14, 13200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97408954414728625341121661023', 'prec': 103}, 'szpiro_ratio': 4.671426613629739, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1107570
    {'Ciso': '171600ck', 'Clabel': '171600ck1', 'Cnumber': 1, 'abc_quality': 1.0639725940924942, 'absD': 836250894336000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -132808, 47734388], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 171600, 'degree': 3096576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1253820906443090954202123376', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 204, 'isogeny_degrees': [1, 2], 'jinv': [-4047806261953, 13066420224], 'lmfdb_iso': '171600.hw', 'lmfdb_label': '171600.hw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -332, -6000], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '78.6.0.?', '88.6.0.?', '3432.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 4, 4400], [5, 14, 6864], [11, 12, 15600], [13, 14, 13200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62751595386731359870260054953', 'prec': 103}, 'szpiro_ratio': 4.0560560255342075, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}