Elliptic curve isogeny class data - 19600.do

Formats: - HTML - YAML - JSON - 2024-06-08T21:09:39.815574

• 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, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, -3, 0, 8, 0], 'aplist': [0, 2, 0, 0, 0, 2, -3, 8, -9, -6, 5, -8, 3, -10, 3, -6, 12, 4, 2, 9, -10, -5, 6, -3, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 19600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '19600.do', 'trace_hash': 239092187302474918}
• ec_padic •

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

  
  
  • id: 909340
    {'lmfdb_iso': '19600.do', 'p': 13, 'prec': 20, 'unit': 1259796665389866464884, 'val': 1}
  • id: 909342
    {'lmfdb_iso': '19600.do', 'p': 17, 'prec': 20, 'unit': 157778750118284751657484, 'val': 1}
  • id: 909343
    {'lmfdb_iso': '19600.do', 'p': 19, 'prec': 20, 'unit': 208555746572546611951427, 'val': 1}
  • id: 909347
    {'lmfdb_iso': '19600.do', 'p': 23, 'prec': 20, 'unit': 71054473017784743297885023, 'val': 1}
  • id: 909339
    {'lmfdb_iso': '19600.do', 'p': 29, 'prec': 20, 'unit': 44844645034629808663144670, 'val': 2}
  • id: 909351
    {'lmfdb_iso': '19600.do', 'p': 31, 'prec': 20, 'unit': 4805240824372818236851345001, 'val': 1}
  • id: 909335
    {'lmfdb_iso': '19600.do', 'p': 37, 'prec': 20, 'unit': 99499856110595745974095863717, 'val': 1}
  • id: 909337
    {'lmfdb_iso': '19600.do', 'p': 41, 'prec': 20, 'unit': 840209295852489871933974483033, 'val': 1}
  • id: 909338
    {'lmfdb_iso': '19600.do', 'p': 43, 'prec': 20, 'unit': 7436390210934965727815881467339, 'val': 1}
  • id: 909349
    {'lmfdb_iso': '19600.do', 'p': 47, 'prec': 20, 'unit': 23614774994778004443324980824777, 'val': 1}
  • id: 909344
    {'lmfdb_iso': '19600.do', 'p': 53, 'prec': 20, 'unit': 373016200298659087449333749875495, 'val': 1}
  • id: 909345
    {'lmfdb_iso': '19600.do', 'p': 59, 'prec': 20, 'unit': 350376566874946924014420998950351, 'val': 1}
  • id: 909350
    {'lmfdb_iso': '19600.do', 'p': 61, 'prec': 20, 'unit': 2618158607261238429411255487412334, 'val': 1}
  • id: 909334
    {'lmfdb_iso': '19600.do', 'p': 67, 'prec': 20, 'unit': 26717117659670769927709583468579859, 'val': 1}
  • id: 909336
    {'lmfdb_iso': '19600.do', 'p': 71, 'prec': 20, 'unit': 48514507930204555682659668144107986, 'val': 1}
  • id: 909346
    {'lmfdb_iso': '19600.do', 'p': 73, 'prec': 20, 'unit': 124718304288229206108331605574127641, 'val': 1}
  • id: 909341
    {'lmfdb_iso': '19600.do', 'p': 79, 'prec': 20, 'unit': 729409077235468100094052759932694714, 'val': 1}
  • id: 909333
    {'lmfdb_iso': '19600.do', 'p': 83, 'prec': 20, 'unit': 1115675175773442253658828241685638410, 'val': 1}
  • id: 909348
    {'lmfdb_iso': '19600.do', 'p': 89, 'prec': 20, 'unit': 5541775950974395312039979815981241653, 'val': 1}
  • id: 909332
    {'lmfdb_iso': '19600.do', 'p': 97, 'prec': 20, 'unit': 53873132356915444769429049799322385458, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 129948
    {'Ciso': '19600cn', 'Clabel': '19600cn2', 'Cnumber': 2, 'abc_quality': 0.9615091232859548, 'absD': 2569011200, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 2520, 'ainvs': [0, -1, 0, -2928, -59968], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 19600, 'degree': 15552, 'elladic_images': ['8.2.0.2', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72867182965965894929265939303', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 92, 'isogeny_degrees': [1, 3], 'jinv': [553463785, 512], 'lmfdb_iso': '19600.do', 'lmfdb_label': '19600.do1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -183, 937], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '8.2.0.b.1', '9.12.0.b.1', '24.8.0.b.1', '63.36.0.g.2', '72.24.0.?', '420.8.0.?', '504.72.2.?', '840.16.0.?', '1260.72.0.?', '2520.144.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8437937289677990406021459071', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.55703336114852197340892474121', 'prec': 107}, 'szpiro_ratio': 3.5980111598004214, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 129947
    {'Ciso': '19600cn', 'Clabel': '19600cn1', 'Cnumber': 1, 'abc_quality': 0.8304580690764805, 'absD': 40140800, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 2520, 'ainvs': [0, -1, 0, -128, 512], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 19600, 'degree': 5184, 'elladic_images': ['8.2.0.2', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17936568532560410359503677457', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 92, 'isogeny_degrees': [1, 3], 'jinv': [46585, 8], 'lmfdb_iso': '19600.do', 'lmfdb_label': '19600.do2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8, -8], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '8.2.0.b.1', '9.12.0.b.1', '24.8.0.b.1', '63.36.0.g.1', '72.24.0.?', '420.8.0.?', '504.72.2.?', '840.16.0.?', '1260.72.0.?', '2520.144.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.94793124298926634686738196903', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1063395054825768191065473597', 'prec': 103}, 'szpiro_ratio': 2.6486635343963596, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}