Elliptic curve isogeny class data - 1568.f

Formats: - HTML - YAML - JSON - 2026-04-22T00:29:32.666965

• 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, 4, 0, 0, 0, -3, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0], 'aplist': [0, 0, 4, 0, 0, -4, 8, 0, 0, 10, 0, 2, 8, 0, 0, 14, 0, -12, 0, 0, -16, 0, 0, -16, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 1568, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1568.f', 'trace_hash': 891288686801721040}
• lmfdb_iso 1568.f 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: 8495
    {'Ciso': '1568a', 'Clabel': '1568a2', 'Cnumber': 2, 'absD': 1404928, 'ainvs': [0, 0, 0, -28, 0], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 1568, 'degree': 256, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.13090820808773588255870477598', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '1568.f', 'lmfdb_label': '1568.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -28, 0], 'min_quad_twist_disc': 1, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7], [7, 20, 32]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.9371459725411877, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 8494
    {'Ciso': '1568a', 'Clabel': '1568a1', 'Cnumber': 1, 'absD': 21952, 'ainvs': [0, 0, 0, 7, 0], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 1568, 'degree': 128, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.47748179836770853726732083671', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '1568.f', 'lmfdb_label': '1568.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 7, 0], 'min_quad_twist_disc': 1, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7], [7, 20, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.371892650678, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}