Elliptic curve isogeny class data - 489566.y

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• 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, 0, 1, 0, 0, 1, -1, -3, 0, 0, 0, -2, -1, 0, 1, 0, 3, 4, 0], 'aplist': [-1, 0, 0, 1, 0, -2, 0, 4, 8, -8, 8, -8, -8, -4, -8, 10, 12, 0, -4, -8, -8, -8, -4, 6, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 489566, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '489566.y', 'trace_hash': 445681589439075805}
• lmfdb_iso 489566.y 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: 3004024
    {'Ciso': '489566y', 'Clabel': '489566y1', 'Cnumber': 1, 'abc_quality': 1.0498004125880718, 'absD': 129130409635030851229952, 'adelic_genus': 9, 'adelic_index': 192, 'adelic_level': 1904, 'ainvs': [1, -1, 0, -26565512, -49778558912], 'analytic_rank': 1, 'bad_primes': [2, 7, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 489566, 'degree': 50135040, 'elladic_images': ['16.48.1.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1860182872762383123041206938', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [9869198625, 614656], 'lmfdb_iso': '489566.y', 'lmfdb_label': '489566.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -760, 7803], 'min_quad_twist_disc': -187, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '8.24.0.bt.1', '16.48.1.cf.1', '34.6.0.a.1', '56.48.1.kd.1', '68.24.0.h.1', '112.96.3.?', '136.48.1.?', '272.96.3.?', '952.96.3.?', '1904.192.9.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.2168327932859631164400577101', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2057], [7, 8, 69938], [11, 62, 4046], [17, 98, 1694]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13783935716510901991400205858', 'prec': 107}, 'szpiro_ratio': 4.800981455915842, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3004025
    {'Ciso': '489566y', 'Clabel': '489566y2', 'Cnumber': 2, 'abc_quality': 1.1261520471816744, 'absD': 19377632095856817112694672, 'adelic_genus': 9, 'adelic_index': 192, 'adelic_level': 1904, 'ainvs': [1, -1, 0, 20992328, -208536140400], 'analytic_rank': 1, 'bad_primes': [2, 7, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 489566, 'degree': 100270080, 'elladic_images': ['16.48.1.118'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5325918775562109670127367545', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [4869777375, 92236816], 'lmfdb_iso': '489566.y', 'lmfdb_label': '489566.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 600, 31739], 'min_quad_twist_disc': -187, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.24.0.bi.1', '16.48.1.bn.1', '68.12.0.l.1', '112.96.3.?', '136.48.1.?', '272.96.3.?', '1904.192.9.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6084163966429815582200288550', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2057], [7, 8, 69938], [11, 62, 4046], [17, 98, 1694]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20873423311486363479461400212', 'prec': 103}, 'szpiro_ratio': 5.010951513450249, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}