Elliptic curve isogeny class data - 705600.bgi

Formats: - HTML - YAML - JSON - 2024-05-11T13:56:17.492796

• 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, 0, 0, 0, 0, 4, 4, 4, 4, 2, 8, -6, -12, 4, -8, -6, 12, -4, -4, 12, -8, -16, 4, -4, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 705600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '705600.bgi', 'trace_hash': 709372073960841350}
• lmfdb_iso 705600.bgi 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 3069448
    {'abc_quality': 0.9492313462545714, 'absD': 2440028303096832000000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -5659500, 4605118000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 705600, 'degree': 33030144, 'elladic_images': ['4.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8342461463743006060466970676', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 840, 'isogeny_degrees': [2, 1], 'jinv': [665500, 81], 'lmfdb_iso': '705600.bgi', 'lmfdb_label': '705600.bgi1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [0, -1, 0, -128, 540], 'min_quad_twist_disc': 840, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '24.24.0.dr.1', '28.24.0.i.1', '168.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9662163773864969301999449884', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90340780671488315166996260367', 'prec': 107}, 'szpiro_ratio': 4.326204071118494, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3069447
    {'abc_quality': 0.8882315447758856, 'absD': 67778563974912000000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, 514500, 369754000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 705600, 'degree': 16515072, 'elladic_images': ['8.12.0.27'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4876725560943279513380810069', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 840, 'isogeny_degrees': [1, 2], 'jinv': [2000, 9], 'lmfdb_iso': '705600.bgi', 'lmfdb_label': '705600.bgi2', 'lmfdb_number': 2, 'min_quad_twist_ainvs': [0, -1, 0, 12, 36], 'min_quad_twist_disc': 840, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.r.1', '12.12.0.o.1', '14.6.0.b.1', '24.24.0.dj.1', '28.12.0.k.1', '56.24.0.bx.1', '84.24.0.?', '168.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.9324327547729938603998899767', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1344568669015315881423733108', 'prec': 103}, 'szpiro_ratio': 3.934106662864395, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}