Elliptic curve isogeny class data - 48960.a

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• 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, -5, 0, 0, 0, -3, 0, -2, 0, 0, 0, -1, 0, -7, 0], 'aplist': [0, 0, -1, -5, -3, -2, -1, -7, -6, -3, -2, -11, 3, 8, -9, 9, -12, 10, 8, 12, -7, 10, 12, 12, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 48960, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '48960.a', 'trace_hash': 463125038567559150}
• ec_padic •

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

  
  
  • id: 2459560
    {'lmfdb_iso': '48960.a', 'p': 7, 'prec': 20, 'unit': 2573862074578565, 'val': 1}
  • id: 2459558
    {'lmfdb_iso': '48960.a', 'p': 11, 'prec': 20, 'unit': 3368200901724793998, 'val': 1}
  • id: 2459564
    {'lmfdb_iso': '48960.a', 'p': 13, 'prec': 20, 'unit': 340615495979723461305, 'val': 1}
  • id: 2459567
    {'lmfdb_iso': '48960.a', 'p': 19, 'prec': 20, 'unit': 500122919720792971585982, 'val': 1}
  • id: 2459570
    {'lmfdb_iso': '48960.a', 'p': 23, 'prec': 20, 'unit': 22431962752323983300341061, 'val': 1}
  • id: 2459563
    {'lmfdb_iso': '48960.a', 'p': 29, 'prec': 20, 'unit': 3181333150245541793451319175, 'val': 1}
  • id: 2459576
    {'lmfdb_iso': '48960.a', 'p': 31, 'prec': 20, 'unit': 19058667960952327378353873363, 'val': 1}
  • id: 2459559
    {'lmfdb_iso': '48960.a', 'p': 37, 'prec': 20, 'unit': 278927951814579689692203030789, 'val': 1}
  • id: 2459561
    {'lmfdb_iso': '48960.a', 'p': 41, 'prec': 20, 'unit': 3231308966188530763833622299143, 'val': 1}
  • id: 2459562
    {'lmfdb_iso': '48960.a', 'p': 43, 'prec': 20, 'unit': 3085394221088947871680632022676, 'val': 1}
  • id: 2459573
    {'lmfdb_iso': '48960.a', 'p': 47, 'prec': 20, 'unit': 47321983512302246684582791723043, 'val': 1}
  • id: 2459568
    {'lmfdb_iso': '48960.a', 'p': 53, 'prec': 20, 'unit': 319946380804098314445453135194620, 'val': 1}
  • id: 2459566
    {'lmfdb_iso': '48960.a', 'p': 59, 'prec': 20, 'unit': 1583970770854840049019012436257815, 'val': 1}
  • id: 2459574
    {'lmfdb_iso': '48960.a', 'p': 61, 'prec': 20, 'unit': 8175074368516317758635089868022513, 'val': 1}
  • id: 2459557
    {'lmfdb_iso': '48960.a', 'p': 67, 'prec': 20, 'unit': 39213194237670901870332750017424821, 'val': 1}
  • id: 2459572
    {'lmfdb_iso': '48960.a', 'p': 71, 'prec': 20, 'unit': 622576526735350301184769508106902, 'val': 1}
  • id: 2459569
    {'lmfdb_iso': '48960.a', 'p': 73, 'prec': 20, 'unit': 58778953604341948902478364038535566, 'val': 1}
  • id: 2459565
    {'lmfdb_iso': '48960.a', 'p': 79, 'prec': 20, 'unit': 788620741860125663266152289147101536, 'val': 1}
  • id: 2459575
    {'lmfdb_iso': '48960.a', 'p': 83, 'prec': 20, 'unit': 704756688374052421058301224717453323, 'val': 1}
  • id: 2459571
    {'lmfdb_iso': '48960.a', 'p': 89, 'prec': 20, 'unit': 8057967571801416856079808861448891998, 'val': 1}
  • id: 2459556
    {'lmfdb_iso': '48960.a', 'p': 97, 'prec': 20, 'unit': 35967387131850127053942036972111656660, '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[]

  
  
  • id: 325679
    {'Ciso': '48960eo', 'Clabel': '48960eo2', 'Cnumber': 2, 'abc_quality': 0.9827766803851439, 'absD': 4758912000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [0, 0, 0, -260148, -51071528], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 48960, 'degree': 276480, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5230827428470876432329286069', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-2608300961238784, 6375], 'lmfdb_iso': '48960.a', 'lmfdb_label': '48960.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7226, -238851], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '510.8.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.397243255303646980383987047', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 765], [3, 8, 1088], [5, 6, 9792], [17, 18, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39615394804641170635427922056', 'prec': 103}, 'szpiro_ratio': 4.539468039737457, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 325678
    {'Ciso': '48960eo', 'Clabel': '48960eo1', 'Cnumber': 1, 'abc_quality': 0.8734985766857838, 'absD': 495117204480, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [0, 0, 0, -3108, -74792], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 48960, 'degree': 92160, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97377659851303279753530598849', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-4447738624, 663255], 'lmfdb_iso': '48960.a', 'lmfdb_label': '48960.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -86, -375], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.3', '510.8.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7990810851012156601279956825', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 765], [3, 2, 320], [5, 6, 9792], [17, 18, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15315219628764313934334339785', 'prec': 107}, 'szpiro_ratio': 3.330760342571152, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}