Elliptic curve isogeny class data - 9408.r

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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, -1, 0, 0, 0, 0, 0, 1, 0, -6, 0, 2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -1, 0, 0, -6, 2, 0, 4, 6, -6, 8, -2, -12, -4, 12, 6, 0, -10, 8, -6, 10, 4, 12, -12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 9408, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '9408.r', 'trace_hash': 1969321038316156394}
• ec_padic •

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

  
  
  • id: 394436
    {'lmfdb_iso': '9408.r', 'p': 11, 'prec': 20, 'unit': 17817725240916561203, 'val': 1}
  • id: 394442
    {'lmfdb_iso': '9408.r', 'p': 13, 'prec': 20, 'unit': 409150650429766043265, 'val': 1}
  • id: 394444
    {'lmfdb_iso': '9408.r', 'p': 19, 'prec': 20, 'unit': 1490747496163344951122733, 'val': 1}
  • id: 394447
    {'lmfdb_iso': '9408.r', 'p': 23, 'prec': 20, 'unit': 57188023728450023011135667, 'val': 1}
  • id: 394441
    {'lmfdb_iso': '9408.r', 'p': 29, 'prec': 20, 'unit': 6012614373460615110548308299, 'val': 1}
  • id: 394452
    {'lmfdb_iso': '9408.r', 'p': 31, 'prec': 20, 'unit': 9951182539154843542226543310, 'val': 1}
  • id: 394437
    {'lmfdb_iso': '9408.r', 'p': 37, 'prec': 20, 'unit': 47754222975515714878280554249, 'val': 1}
  • id: 394439
    {'lmfdb_iso': '9408.r', 'p': 41, 'prec': 20, 'unit': 4346789287318803444073440191015, 'val': 1}
  • id: 394440
    {'lmfdb_iso': '9408.r', 'p': 43, 'prec': 20, 'unit': 7458355080620788608900400439270, 'val': 1}
  • id: 394443
    {'lmfdb_iso': '9408.r', 'p': 47, 'prec': 20, 'unit': 2223599091647762460780398629277, 'val': 1}
  • id: 394445
    {'lmfdb_iso': '9408.r', 'p': 53, 'prec': 20, 'unit': 47646583545078895040428877286764, 'val': 1}
  • id: 394450
    {'lmfdb_iso': '9408.r', 'p': 61, 'prec': 20, 'unit': 550033232693125579164061356007605, 'val': 1}
  • id: 394435
    {'lmfdb_iso': '9408.r', 'p': 67, 'prec': 20, 'unit': 27120154874231370992726061596567997, 'val': 1}
  • id: 394438
    {'lmfdb_iso': '9408.r', 'p': 71, 'prec': 20, 'unit': 72577312166352033653370868080670519, 'val': 1}
  • id: 394446
    {'lmfdb_iso': '9408.r', 'p': 73, 'prec': 20, 'unit': 199556787638081005942846231266667207, 'val': 1}
  • id: 394449
    {'lmfdb_iso': '9408.r', 'p': 79, 'prec': 20, 'unit': 1112866159587624694236987025016947430, 'val': 1}
  • id: 394451
    {'lmfdb_iso': '9408.r', 'p': 83, 'prec': 20, 'unit': 359720261939558021086274625624940097, 'val': 1}
  • id: 394448
    {'lmfdb_iso': '9408.r', 'p': 89, 'prec': 20, 'unit': 4095097264568049485636551590795418781, 'val': 1}
  • id: 394434
    {'lmfdb_iso': '9408.r', 'p': 97, 'prec': 20, 'unit': 159508868271710253943443409468822386, '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: 60777
    {'Ciso': '9408bw', 'Clabel': '9408bw4', 'Cnumber': 4, 'abc_quality': 1.0224533031136658, 'absD': 5950381473792, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 168, 'ainvs': [0, -1, 0, -358353, -82449135], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9408, 'degree': 55296, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7343376272589552108510613709', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2640279346000, 3087], 'lmfdb_iso': '9408.r', 'lmfdb_label': '9408.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1828, -30700], 'min_quad_twist_disc': 56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '24.48.0-12.j.1.8', '28.6.0.a.1', '84.48.1.?', '168.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4717545421256848317257517537', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047289157921970969355052475857', 'prec': 110}, 'szpiro_ratio': 5.462859635029161, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 60776
    {'Ciso': '9408bw', 'Clabel': '9408bw3', 'Cnumber': 3, 'abc_quality': 1.0728576630678985, 'absD': 42520434281472, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 168, 'ainvs': [0, -1, 0, -22213, -1304939], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9408, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3877640369789825561424453102', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-10061824000, 352947], 'lmfdb_iso': '9408.r', 'lmfdb_label': '9408.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -113, -516], 'min_quad_twist_disc': 56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '24.48.0-6.b.1.3', '28.6.0.b.1', '84.48.1.?', '168.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.9435090842513696634515035075', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16281368801529518759125782940', 'prec': 107}, 'szpiro_ratio': 4.5574769694609865, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 60775
    {'Ciso': '9408bw', 'Clabel': '9408bw2', 'Cnumber': 2, 'abc_quality': 0.9724335123602292, 'absD': 9836344885248, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 168, 'ainvs': [0, -1, 0, -5553, -49167], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9408, 'degree': 18432, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1850314829249003651534387524', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9826000, 5103], 'lmfdb_iso': '9408.r', 'lmfdb_label': '9408.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -28, -28], 'min_quad_twist_disc': 56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '24.48.0-12.j.1.6', '28.6.0.a.1', '84.48.1.?', '168.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4905848473752282772419172512', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59659530225602581505267509436', 'prec': 107}, 'szpiro_ratio': 4.09648822547565, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 60774
    {'Ciso': '9408bw', 'Clabel': '9408bw1', 'Cnumber': 1, 'abc_quality': 1.1084282779180015, 'absD': 159385218048, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 168, 'ainvs': [0, -1, 0, 1307, -6635], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9408, 'degree': 9216, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83845789264492771044482269171', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2048000, 1323], 'lmfdb_iso': '9408.r', 'lmfdb_label': '9408.r4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 7, 0], 'min_quad_twist_disc': 56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '24.48.0-6.b.1.7', '28.6.0.b.1', '84.48.1.?', '168.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9811696947504565544838345025', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71211983234935003328888044789', 'prec': 107}, 'szpiro_ratio': 3.6220530758637106, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}