Elliptic curve isogeny class data - 1248.e

Formats: - HTML - YAML - JSON - 2025-06-24T12:57:04.104175

• 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, -1, 0, 2, 0, -2, 0, 1, 0, 2, 0, -1, 0, -2, 0, 6, 0, -2, 0], 'aplist': [0, -1, 2, -2, 2, -1, 6, -2, 0, 2, 2, 10, 2, 8, -2, -2, 10, 6, 14, -14, -6, -4, 6, 10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 1248, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1248.e', 'trace_hash': 848164726588554476}
• lmfdb_iso 1248.e 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: 6664
    {'Ciso': '1248f', 'Clabel': '1248f1', 'Cnumber': 1, 'abc_quality': 1.0331274121535075, 'absD': 922529088, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 104, 'ainvs': [0, -1, 0, -2902, 61132], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1248, 'degree': 768, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.69179607747669585101446855938', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [42246001231552, 14414517], 'lmfdb_iso': '1248.e', 'lmfdb_label': '1248.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2902, 61132], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.2', '26.6.0.b.1', '52.12.0.e.1', '104.48.0.?'], '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, 13], [3, 4, 32], [13, 14, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34522248719672319630585249865', 'prec': 103}, 'szpiro_ratio': 4.984139553628442, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6665
    {'Ciso': '1248f', 'Clabel': '1248f2', 'Cnumber': 2, 'abc_quality': 1.0253733958534896, 'absD': 1601419382784, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 104, 'ainvs': [0, -1, 0, -2497, 78385], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1248, 'degree': 1536, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0383696677566685057230846201', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [-420526439488, 390971529], 'lmfdb_iso': '1248.e', 'lmfdb_label': '1248.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2497, 78385], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '52.12.0.d.1', '104.48.0.?'], '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, 1], [3, 4, 32], [13, 14, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34522248719672319630585249864', 'prec': 103}, 'szpiro_ratio': 5.0552762721469495, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}