Elliptic curve isogeny class data - 100800.bf

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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, 0, 0, 0, 0, 0, -1, 0, 0, 0, -4, 0, 2, 0, 0, 0, -4, 0, 0, 0], 'aplist': [0, 0, 0, -1, -4, 2, -4, 0, -4, 4, -8, -2, -4, 8, -8, 4, -8, 2, 8, 12, -6, -8, 16, -12, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 100800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '100800.bf', 'trace_hash': 586832987256140655}
• lmfdb_iso 100800.bf 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 662705
    {'Ciso': '100800jg', 'Clabel': '100800jg1', 'Cnumber': 1, 'abc_quality': 1.071395795379215, 'absD': 964467000000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 336, 'ainvs': [0, 0, 0, -43875, -3537000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 100800, 'degree': 221184, 'elladic_images': ['16.24.0.38'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3321563273733193768320310327', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [474552000, 49], 'lmfdb_iso': '100800.bf', 'lmfdb_label': '100800.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7020, 226368], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.v.1', '12.12.0.m.1', '16.24.0.m.1', '24.24.0.dd.1', '48.48.0.cm.2', '56.24.0.dz.1', '112.48.1.?', '168.48.1.?', '336.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 2, 11200], [5, 14, 4032], [7, 8, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64309543562478573372339862233', 'prec': 107}, 'szpiro_ratio': 3.7914509325709247, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 662706
    {'Ciso': '100800jg', 'Clabel': '100800jg2', 'Cnumber': 2, 'abc_quality': 1.0446141344377422, 'absD': 3024568512000000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 336, 'ainvs': [0, 0, 0, -40500, -4104000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 100800, 'degree': 442368, 'elladic_images': ['16.24.0.31'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6787299176532920315406470934', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [-5832000, 2401], 'lmfdb_iso': '100800.bf', 'lmfdb_label': '100800.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -405, 4104], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '6.6.0.a.1', '8.12.0.s.1', '12.12.0.l.1', '16.24.0.l.2', '24.24.0.cm.1', '48.48.0.cb.1', '56.24.0.dg.1', '112.48.1.?', '168.48.1.?', '336.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 2, 11200], [5, 14, 4032], [7, 8, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64309543562478573372339862236', 'prec': 107}, 'szpiro_ratio': 3.8172464970184947, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}