Elliptic curve isogeny class data - 357.a

Formats: - HTML - YAML - JSON - 2025-10-18T20:30:40.229257

• 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, -2, 1, 2, -3, -2, 1, 0, 1, 6, -3, 2, 1, -2, -3, -4, -1, -2, -7, -6], 'aplist': [-2, 1, -3, 1, -3, 1, -1, -7, 1, -10, 4, -10, 3, -11, -8, -4, 4, 10, -8, 8, -2, 16, 6, -8, -4], 'class_deg': 1, 'class_size': 1, 'conductor': 357, 'isogeny_matrix': [[1]], 'lmfdb_iso': '357.a', 'trace_hash': 303771326047822479}
• ec_padic •

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

  
  
  • id: 4422
    {'lmfdb_iso': '357.a', 'p': 5, 'prec': 20, 'unit': 14882547433588, 'val': 1}
  • id: 4421
    {'lmfdb_iso': '357.a', 'p': 11, 'prec': 20, 'unit': 50547004954336872546, 'val': 1}
  • id: 4428
    {'lmfdb_iso': '357.a', 'p': 13, 'prec': 20, 'unit': 5560040043812250698814, 'val': -1}
  • id: 4431
    {'lmfdb_iso': '357.a', 'p': 19, 'prec': 20, 'unit': 734104938487975041263527, 'val': 1}
  • id: 4434
    {'lmfdb_iso': '357.a', 'p': 23, 'prec': 20, 'unit': 1409796601213717184715633808, 'val': -1}
  • id: 4427
    {'lmfdb_iso': '357.a', 'p': 29, 'prec': 20, 'unit': 3074842417320195532991323193, 'val': 1}
  • id: 4424
    {'lmfdb_iso': '357.a', 'p': 31, 'prec': 20, 'unit': 13416250980921654793017686325, 'val': 1}
  • id: 4439
    {'lmfdb_iso': '357.a', 'p': 37, 'prec': 20, 'unit': 13262406598814432496724460019, 'val': 1}
  • id: 4425
    {'lmfdb_iso': '357.a', 'p': 41, 'prec': 20, 'unit': 1846421407840901801893990083827, 'val': 1}
  • id: 4426
    {'lmfdb_iso': '357.a', 'p': 43, 'prec': 20, 'unit': 5192663390659387465133120796438, 'val': 1}
  • id: 4436
    {'lmfdb_iso': '357.a', 'p': 47, 'prec': 20, 'unit': 3704669524676188422230971263610, 'val': 1}
  • id: 4432
    {'lmfdb_iso': '357.a', 'p': 53, 'prec': 20, 'unit': 381032979372588450395272020281668, 'val': 1}
  • id: 4430
    {'lmfdb_iso': '357.a', 'p': 59, 'prec': 20, 'unit': 1299711451036529469367340949554569, 'val': 1}
  • id: 4437
    {'lmfdb_iso': '357.a', 'p': 61, 'prec': 20, 'unit': 6837459402590500301324783383895254, 'val': 1}
  • id: 4420
    {'lmfdb_iso': '357.a', 'p': 67, 'prec': 20, 'unit': 41965424756594109394374002350193362, 'val': 1}
  • id: 4423
    {'lmfdb_iso': '357.a', 'p': 71, 'prec': 20, 'unit': 1433063655276657175315063141484308, 'val': 1}
  • id: 4433
    {'lmfdb_iso': '357.a', 'p': 73, 'prec': 20, 'unit': 220921189825600507830894158513308469, 'val': 1}
  • id: 4429
    {'lmfdb_iso': '357.a', 'p': 79, 'prec': 20, 'unit': 114724171007547737574063800521656459, 'val': 1}
  • id: 4438
    {'lmfdb_iso': '357.a', 'p': 83, 'prec': 20, 'unit': 291443552144667667650962981231435610, 'val': 1}
  • id: 4435
    {'lmfdb_iso': '357.a', 'p': 89, 'prec': 20, 'unit': 9607552210555557035892826526153663857, 'val': 1}
  • id: 4419
    {'lmfdb_iso': '357.a', 'p': 97, 'prec': 20, 'unit': 47087024309317788144950865277367449764, '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': '357d', 'Clabel': '357d1', 'Cnumber': 1, 'abc_quality': 0.9086979598582811, 'absD': 1821771, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 102, 'ainvs': [0, 1, 1, -42, 110], 'analytic_rank': 1, 'bad_primes': [3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 357, 'degree': 112, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.077806504503011873767126265886', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-8390176768, 1821771], 'lmfdb_iso': '357.a', 'lmfdb_label': '357.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -42, 110], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['102.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 16, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.029120331795222337391595465735', 'prec': 107}, 'semistable': True, 'serre_invariants': [[2, 2, 51], [3, 4, 119], [7, 8, 17], [17, 18, 21]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.077806504503011873767126265886', 'prec': 110}, 'szpiro_ratio': 3.941811900311396, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}