Elliptic curve isogeny class data - 51376.ba

Formats: - HTML - YAML - JSON - 2025-09-25T06:20:27.887659

• 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, 2, 0, 0, 0, 4, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, -1, 0], 'aplist': [0, 2, 0, 4, 2, 0, 1, -1, 1, -10, 5, -3, -7, -7, -6, -12, 3, -9, 13, 0, 4, 12, -14, 10, 11], 'class_deg': 1, 'class_size': 1, 'conductor': 51376, 'isogeny_matrix': [[1]], 'lmfdb_iso': '51376.ba', 'trace_hash': 1101275494939064956}
• ec_padic •

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

  
  
  • id: 2584699
    {'lmfdb_iso': '51376.ba', 'p': 7, 'prec': 20, 'unit': 4197469743001340, 'val': 1}
  • id: 2584697
    {'lmfdb_iso': '51376.ba', 'p': 11, 'prec': 20, 'unit': 9336434192074014429, 'val': 1}
  • id: 2584704
    {'lmfdb_iso': '51376.ba', 'p': 17, 'prec': 20, 'unit': 1378837927649585033336939, 'val': -1}
  • id: 2584709
    {'lmfdb_iso': '51376.ba', 'p': 23, 'prec': 20, 'unit': 1154152291849688181912162819, 'val': -1}
  • id: 2584702
    {'lmfdb_iso': '51376.ba', 'p': 29, 'prec': 20, 'unit': 231176841008717618371809078, 'val': 1}
  • id: 2584713
    {'lmfdb_iso': '51376.ba', 'p': 31, 'prec': 20, 'unit': 13336600306510786588886040376, 'val': 1}
  • id: 2584698
    {'lmfdb_iso': '51376.ba', 'p': 37, 'prec': 20, 'unit': 500230168746805151028777265445, 'val': 1}
  • id: 2584700
    {'lmfdb_iso': '51376.ba', 'p': 41, 'prec': 20, 'unit': 2885421949969942826041896141633, 'val': 1}
  • id: 2584701
    {'lmfdb_iso': '51376.ba', 'p': 43, 'prec': 20, 'unit': 514480827991764301907553322098, 'val': 1}
  • id: 2584711
    {'lmfdb_iso': '51376.ba', 'p': 47, 'prec': 20, 'unit': 45688462702665128207431317479907, 'val': 1}
  • id: 2584706
    {'lmfdb_iso': '51376.ba', 'p': 53, 'prec': 20, 'unit': 143851346407566842349275035620869, 'val': 1}
  • id: 2584707
    {'lmfdb_iso': '51376.ba', 'p': 59, 'prec': 20, 'unit': 2903073364461015127726667002689203, 'val': 1}
  • id: 2584712
    {'lmfdb_iso': '51376.ba', 'p': 61, 'prec': 20, 'unit': 1705427334125768926375094974936082, 'val': 1}
  • id: 2584696
    {'lmfdb_iso': '51376.ba', 'p': 67, 'prec': 20, 'unit': 22707526770202873181491910644587427, 'val': 1}
  • id: 2584708
    {'lmfdb_iso': '51376.ba', 'p': 73, 'prec': 20, 'unit': 141275002973562227948488467321398541, 'val': 1}
  • id: 2584703
    {'lmfdb_iso': '51376.ba', 'p': 79, 'prec': 20, 'unit': 989474781698977926781384134399478378, 'val': 1}
  • id: 2584705
    {'lmfdb_iso': '51376.ba', 'p': 83, 'prec': 20, 'unit': 1789441198506609051164028336340575715, 'val': 1}
  • id: 2584710
    {'lmfdb_iso': '51376.ba', 'p': 89, 'prec': 20, 'unit': 6322500822797867361240641152710617664, 'val': 1}
  • id: 2584695
    {'lmfdb_iso': '51376.ba', 'p': 97, 'prec': 20, 'unit': 2666171426690537409271526190250947790, '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': '51376bb', 'Clabel': '51376bb1', 'Cnumber': 1, 'abc_quality': 0.7003216222208372, 'absD': 667888, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 494, 'ainvs': [0, -1, 0, 22, -1], 'analytic_rank': 1, 'bad_primes': [2, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 51376, 'degree': 6336, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.19300911541099087560293255935', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1], 'jinv': [32000, 19], 'lmfdb_iso': '51376.ba', 'lmfdb_label': '51376.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 22, 1], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['494.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0351555010408558890300075405', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 247], [13, 50, 304], [19, 20, 2704]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0652955149630234960887151269', 'prec': 103}, 'szpiro_ratio': 1.9213671390848273, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}