Elliptic curve isogeny class data - 47600.x

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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, 0, 0, 1, 0, -3, 0, -2, 0, 0, 0, 0, 0, -1, 0, 6, 0], 'aplist': [0, 0, 0, 1, -2, 0, -1, 6, 0, 0, 0, 8, 6, -12, -4, 6, -6, -2, -8, 0, 6, 0, -6, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 47600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '47600.x', 'trace_hash': 1421412744010361707}
• ec_padic •

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

  
  
  • id: 2388659
    {'lmfdb_iso': '47600.x', 'p': 11, 'prec': 20, 'unit': 4292336554783485919, 'val': 2}
  • id: 2388662
    {'lmfdb_iso': '47600.x', 'p': 19, 'prec': 20, 'unit': 1182808566834162690240239, 'val': 1}
  • id: 2388657
    {'lmfdb_iso': '47600.x', 'p': 37, 'prec': 20, 'unit': 305587914325046851559978983204, 'val': 1}
  • id: 2388658
    {'lmfdb_iso': '47600.x', 'p': 41, 'prec': 20, 'unit': 4210656809079899029220795918746, 'val': 1}
  • id: 2388661
    {'lmfdb_iso': '47600.x', 'p': 43, 'prec': 20, 'unit': 8006585445116952746371916970200, 'val': 1}
  • id: 2388660
    {'lmfdb_iso': '47600.x', 'p': 47, 'prec': 20, 'unit': 57762382115178987431712852636743, 'val': 1}
  • id: 2388663
    {'lmfdb_iso': '47600.x', 'p': 53, 'prec': 20, 'unit': 509509080956831839658841456136264, 'val': 1}
  • id: 2388666
    {'lmfdb_iso': '47600.x', 'p': 59, 'prec': 20, 'unit': 735222508928514476231543071603922, 'val': 1}
  • id: 2388667
    {'lmfdb_iso': '47600.x', 'p': 61, 'prec': 20, 'unit': 38300376928139440727602976846060, 'val': 2}
  • id: 2388656
    {'lmfdb_iso': '47600.x', 'p': 67, 'prec': 20, 'unit': 23069465053438728294142702535303319, 'val': 1}
  • id: 2388664
    {'lmfdb_iso': '47600.x', 'p': 73, 'prec': 20, 'unit': 8277346963670094076451092215526056, 'val': 1}
  • id: 2388655
    {'lmfdb_iso': '47600.x', 'p': 83, 'prec': 20, 'unit': 2268089294978539889178783792525876160, 'val': 1}
  • id: 2388665
    {'lmfdb_iso': '47600.x', 'p': 89, 'prec': 20, 'unit': 6015715395008142001291845653158207558, 'val': 1}
  • id: 2388654
    {'lmfdb_iso': '47600.x', 'p': 97, 'prec': 20, 'unit': 300446337914294517825746062367027168, '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: 316678
    {'Ciso': '47600x', 'Clabel': '47600x2', 'Cnumber': 2, 'abc_quality': 0.9714668238019474, 'absD': 1740828723200000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, 0, 0, -1658075, 819322250], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 47600, 'degree': 552960, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3631448047955619699687005367', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [7876916680687209, 27200448800], 'lmfdb_iso': '47600.x', 'lmfdb_label': '47600.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4145, -101379], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '476.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.88050668164718805383088611084', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 2, 6800], [5, 18, 1904], [7, 8, 6800], [17, 18, 2800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86527866801856647325108874863', 'prec': 103}, 'szpiro_ratio': 5.067235546987249, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 316677
    {'Ciso': '47600x', 'Clabel': '47600x1', 'Cnumber': 1, 'abc_quality': 1.041224641716976, 'absD': 238837760000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, 0, 0, -58075, 24122250], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 47600, 'degree': 276480, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0165712145155893152600844760', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [-338463151209, 3731840000], 'lmfdb_iso': '47600.x', 'lmfdb_label': '47600.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -145, -2979], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '238.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7610133632943761076617722217', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2975], [3, 2, 6800], [5, 18, 1904], [7, 8, 6800], [17, 18, 2800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51870507773859381854247268793', 'prec': 103}, 'szpiro_ratio': 4.41205584860054, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}