Elliptic curve isogeny class data - 1224.f

Formats: - HTML - YAML - JSON - 2025-10-12T22:29:51.780322

• 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, 1, 0, -2, 0, 0, 0, -3, 0, -1, 0, 0, 0, 1, 0, -3, 0], 'aplist': [0, 0, 1, -2, -3, -1, 1, -3, -3, 2, -4, -6, 3, -5, 0, 8, -2, -10, 4, 8, 4, -10, -16, 2, -4], 'class_deg': 1, 'class_size': 1, 'conductor': 1224, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1224.f', 'trace_hash': 28474443845595160}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 30375
    {'lmfdb_iso': '1224.f', 'p': 5, 'prec': 20, 'unit': 21872683130568, 'val': -1}
  • id: 30376
    {'lmfdb_iso': '1224.f', 'p': 7, 'prec': 20, 'unit': 3180570632405898, 'val': 1}
  • id: 30383
    {'lmfdb_iso': '1224.f', 'p': 11, 'prec': 20, 'unit': 54318546576575392666, 'val': 1}
  • id: 30381
    {'lmfdb_iso': '1224.f', 'p': 13, 'prec': 20, 'unit': 830568768401877855891, 'val': 1}
  • id: 30384
    {'lmfdb_iso': '1224.f', 'p': 19, 'prec': 20, 'unit': 1843296443732023391314224, 'val': 1}
  • id: 30387
    {'lmfdb_iso': '1224.f', 'p': 23, 'prec': 20, 'unit': 9566487265271712096132239, 'val': 1}
  • id: 30380
    {'lmfdb_iso': '1224.f', 'p': 29, 'prec': 20, 'unit': 2560564647081831202229754200, 'val': 1}
  • id: 30377
    {'lmfdb_iso': '1224.f', 'p': 31, 'prec': 20, 'unit': 6985617208315266799505728730, 'val': 1}
  • id: 30392
    {'lmfdb_iso': '1224.f', 'p': 37, 'prec': 20, 'unit': 4814388667194267574822488869, 'val': 2}
  • id: 30378
    {'lmfdb_iso': '1224.f', 'p': 41, 'prec': 20, 'unit': 3687896809759833361230146434956, 'val': 1}
  • id: 30379
    {'lmfdb_iso': '1224.f', 'p': 43, 'prec': 20, 'unit': 9777731455363037973858249159550, 'val': 1}
  • id: 30385
    {'lmfdb_iso': '1224.f', 'p': 53, 'prec': 20, 'unit': 325498931300402379142802330110557, 'val': 1}
  • id: 30390
    {'lmfdb_iso': '1224.f', 'p': 59, 'prec': 20, 'unit': 4049386942946809485562317904750825, 'val': 1}
  • id: 30391
    {'lmfdb_iso': '1224.f', 'p': 61, 'prec': 20, 'unit': 1687728350615226697940899771710347, 'val': 1}
  • id: 30374
    {'lmfdb_iso': '1224.f', 'p': 67, 'prec': 20, 'unit': 32979437221681886376551309260820239, 'val': 1}
  • id: 30389
    {'lmfdb_iso': '1224.f', 'p': 71, 'prec': 20, 'unit': 77365873198897163536792600725947511, 'val': 1}
  • id: 30386
    {'lmfdb_iso': '1224.f', 'p': 73, 'prec': 20, 'unit': 151526051904886676472519873989438241, 'val': 1}
  • id: 30382
    {'lmfdb_iso': '1224.f', 'p': 79, 'prec': 20, 'unit': 574173400104795812502940972547829389, 'val': 1}
  • id: 30373
    {'lmfdb_iso': '1224.f', 'p': 83, 'prec': 20, 'unit': 2775852396068767847419885729315319006, 'val': 1}
  • id: 30388
    {'lmfdb_iso': '1224.f', 'p': 89, 'prec': 20, 'unit': 4102016036647217148632765153074439368, 'val': 1}
  • id: 30372
    {'lmfdb_iso': '1224.f', 'p': 97, 'prec': 20, 'unit': 21033556189465846224557822915584995227, 'val': 1}
• 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[]

  
  {'Ciso': '1224f', 'Clabel': '1224f1', 'Cnumber': 1, 'abc_quality': 0.8034383677671774, 'absD': 85660416, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 102, 'ainvs': [0, 0, 0, 108, -108], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1224, 'degree': 192, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21131474761153579619196549497', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [27648, 17], 'lmfdb_iso': '1224.f', 'lmfdb_label': '1224.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 12, 4], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['102.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.58874628424369409991229936291', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 51], [3, 2, 136], [17, 18, 72]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0747425892628433452992898470', 'prec': 103}, 'szpiro_ratio': 3.6090621293048355, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}