Elliptic curve isogeny class data - 171600.fs

Formats: - HTML - YAML - JSON - 2025-10-15T02:02:08.851843

• 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, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, 1, 0, 0, -1, -1, 4, 2, -6, -2, 10, 4, -2, 8, -8, 4, 12, -14, 4, -12, -16, 8, 4, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 171600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '171600.fs', 'trace_hash': 130271809148363688}
• lmfdb_iso 171600.fs 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: 1107545
    {'Ciso': '171600bw', 'Clabel': '171600bw2', 'Cnumber': 2, 'abc_quality': 0.9578791221227754, 'absD': 1405082764800000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -4667008, -3881800012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 171600, 'degree': 4423680, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5048601134095688357240622372', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 148, 'isogeny_degrees': [1, 2], 'jinv': [175654575624148921, 21954418200], 'lmfdb_iso': '171600.fs', 'lmfdb_label': '171600.fs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11668, 484058], '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': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5764889442179956848376382016', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 275], [3, 4, 57200], [5, 18, 2288], [11, 12, 15600], [13, 14, 13200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0069939766325733390064504491', 'prec': 100}, 'szpiro_ratio': 4.785701925198515, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1107544
    {'Ciso': '171600bw', 'Clabel': '171600bw1', 'Cnumber': 1, 'abc_quality': 1.0783963817005138, 'absD': 978531840000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -267008, -71400012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 171600, 'degree': 2211840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1582865231295961810154461765', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 148, 'isogeny_degrees': [1, 2], 'jinv': [-32894113444921, 15289560000], 'lmfdb_iso': '171600.fs', 'lmfdb_label': '171600.fs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -668, 8858], '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': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2882444721089978424188191008', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 4, 57200], [5, 18, 2288], [11, 12, 15600], [13, 14, 13200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66042038635260068429783438843', 'prec': 103}, 'szpiro_ratio': 4.1225082433069264, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}