Elliptic curve isogeny class data - 51800.r

Formats: - HTML - YAML - JSON - 2024-06-02T17:13:17.470338

• 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, 0, 0, -1, 0, -2, 0, -4, 0, -4, 0, 0, 0, -6, 0, 5, 0], 'aplist': [0, 1, 0, -1, -4, -4, -6, 5, -7, -4, 9, 1, -10, 12, 3, -8, -3, -13, -8, -13, -14, -14, 1, 6, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 51800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '51800.r', 'trace_hash': 471993599944674702}
• ec_padic •

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

  
  
  • id: 2607310
    {'lmfdb_iso': '51800.r', 'p': 11, 'prec': 20, 'unit': 48974136346760125378, 'val': 2}
  • id: 2607315
    {'lmfdb_iso': '51800.r', 'p': 13, 'prec': 20, 'unit': 429977460803348128343, 'val': 2}
  • id: 2607317
    {'lmfdb_iso': '51800.r', 'p': 17, 'prec': 20, 'unit': 211569030681243444884476, 'val': 2}
  • id: 2607318
    {'lmfdb_iso': '51800.r', 'p': 19, 'prec': 20, 'unit': 263922390873847128312282, 'val': 2}
  • id: 2607322
    {'lmfdb_iso': '51800.r', 'p': 23, 'prec': 20, 'unit': 72516141974800177172315854, 'val': 2}
  • id: 2607314
    {'lmfdb_iso': '51800.r', 'p': 29, 'prec': 20, 'unit': 2069770525023442831771245182, 'val': 2}
  • id: 2607327
    {'lmfdb_iso': '51800.r', 'p': 31, 'prec': 20, 'unit': 1666732757910434271832459608, 'val': 2}
  • id: 2607312
    {'lmfdb_iso': '51800.r', 'p': 41, 'prec': 20, 'unit': 3591615813291696272848551340633, 'val': 2}
  • id: 2607313
    {'lmfdb_iso': '51800.r', 'p': 43, 'prec': 20, 'unit': 1887751539384492893869154699927, 'val': 2}
  • id: 2607324
    {'lmfdb_iso': '51800.r', 'p': 47, 'prec': 20, 'unit': 198319100701269525500098668083, 'val': 2}
  • id: 2607319
    {'lmfdb_iso': '51800.r', 'p': 53, 'prec': 20, 'unit': 343736625641635511249356952083852, 'val': 2}
  • id: 2607320
    {'lmfdb_iso': '51800.r', 'p': 59, 'prec': 20, 'unit': 904687851708660945557465851550037, 'val': 2}
  • id: 2607325
    {'lmfdb_iso': '51800.r', 'p': 61, 'prec': 20, 'unit': 6508924766234938648641526112465774, 'val': 2}
  • id: 2607309
    {'lmfdb_iso': '51800.r', 'p': 67, 'prec': 20, 'unit': 22361178427519326265054387638449666, 'val': 2}
  • id: 2607311
    {'lmfdb_iso': '51800.r', 'p': 71, 'prec': 20, 'unit': 138694301546075263378124652139962226, 'val': 2}
  • id: 2607321
    {'lmfdb_iso': '51800.r', 'p': 73, 'prec': 20, 'unit': 234545820758540566353882456361928129, 'val': 2}
  • id: 2607316
    {'lmfdb_iso': '51800.r', 'p': 79, 'prec': 20, 'unit': 654542646386166596159802503333212615, 'val': 2}
  • id: 2607326
    {'lmfdb_iso': '51800.r', 'p': 83, 'prec': 20, 'unit': 30355700883626827379389245469142931, 'val': 0}
  • id: 2607323
    {'lmfdb_iso': '51800.r', 'p': 89, 'prec': 20, 'unit': 4193216980594156086041852978115166501, 'val': 2}
  • id: 2607308
    {'lmfdb_iso': '51800.r', 'p': 97, 'prec': 20, 'unit': 53506667571931142081301239255678300974, 'val': 2}
• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '51800x', 'Clabel': '51800x1', 'Cnumber': 1, 'abc_quality': 0.8555386669003815, 'absD': 34747958000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2590, 'ainvs': [0, 1, 0, 772, 3773], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 51800, 'degree': 44928, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71124540187234528527825990268', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [25408728832, 17373979], 'lmfdb_iso': '51800.r', 'lmfdb_label': '51800.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 772, 3773], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['2590.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.1786936499202704641063285138', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.077836863577171755155659362221', 'prec': 107}, 'szpiro_ratio': 2.90730891399722, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}