Elliptic curve isogeny class data - 6800.v

Formats: - HTML - YAML - JSON - 2025-09-25T09:57:18.822669

• 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, 2, 0, 0, 0, -2, 0, 1, 0, -2, 0, -2, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, 2, 0, -2, -2, -2, -1, 0, 6, -6, 10, -2, 10, 4, 12, 10, -8, -14, 8, 2, 14, 14, 4, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 6800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6800.v', 'trace_hash': 739288960822733678}
• lmfdb_iso 6800.v 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: 43391
    {'Ciso': '6800l', 'Clabel': '6800l1', 'Cnumber': 1, 'abc_quality': 0.8484639388765889, 'absD': 27200000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [0, -1, 0, -3408, 77312], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6800, 'degree': 6144, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017862618897223965504149313', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [68417929, 425], 'lmfdb_iso': '6800.v', 'lmfdb_label': '6800.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -8, -13], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '34.6.0.a.1', '40.12.0-4.b.1.2', '68.12.0.e.1', '136.24.0.?', '340.24.0.?', '680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 425], [5, 18, 272], [17, 18, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65768751058802325706257029494', 'prec': 107}, 'szpiro_ratio': 4.081229882114257, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 43392
    {'Ciso': '6800l', 'Clabel': '6800l2', 'Cnumber': 2, 'abc_quality': 1.0531441162406259, 'absD': 11560000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [0, -1, 0, -1408, 165312], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6800, 'degree': 12288, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1867522164689448943636575539', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [-4826809, 180625], 'lmfdb_iso': '6800.v', 'lmfdb_label': '6800.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3, -22], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '40.12.0-4.a.1.1', '68.12.0.d.1', '136.24.0.?', '680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 272], [17, 18, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31111392030805060235395423417', 'prec': 107}, 'szpiro_ratio': 4.254958495621652, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}