Elliptic curve isogeny class data - 32368.q

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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, -2, 0, -1, 0, -3, 0, -4, 0, 2, 0, 0, 0, 0, 0, -8, 0], 'aplist': [0, 0, -2, -1, -4, 2, 0, -8, 0, -6, 8, 2, -2, 4, 8, 6, 0, 6, 4, -8, -10, 16, -8, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 32368, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '32368.q', 'trace_hash': 455594708855512543}
• ec_padic •

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

  
  
  • id: 1576473
    {'lmfdb_iso': '32368.q', 'p': 5, 'prec': 20, 'unit': 14358393942027, 'val': 1}
  • id: 1576472
    {'lmfdb_iso': '32368.q', 'p': 11, 'prec': 20, 'unit': 42070722101866788304, 'val': 1}
  • id: 1576479
    {'lmfdb_iso': '32368.q', 'p': 13, 'prec': 20, 'unit': 31800352898341237516, 'val': 1}
  • id: 1576481
    {'lmfdb_iso': '32368.q', 'p': 19, 'prec': 20, 'unit': 527453935224584045291149, 'val': 1}
  • id: 1576478
    {'lmfdb_iso': '32368.q', 'p': 29, 'prec': 20, 'unit': 1368500510340544740228080566, 'val': 1}
  • id: 1576475
    {'lmfdb_iso': '32368.q', 'p': 31, 'prec': 20, 'unit': 9069471196328529966755302689, 'val': 1}
  • id: 1576488
    {'lmfdb_iso': '32368.q', 'p': 37, 'prec': 20, 'unit': 150091301487918560574437205115, 'val': 1}
  • id: 1576476
    {'lmfdb_iso': '32368.q', 'p': 41, 'prec': 20, 'unit': 2535191554001459016749310658587, 'val': 1}
  • id: 1576477
    {'lmfdb_iso': '32368.q', 'p': 43, 'prec': 20, 'unit': 3924637239215395498651919478138, 'val': 1}
  • id: 1576480
    {'lmfdb_iso': '32368.q', 'p': 47, 'prec': 20, 'unit': 21926879961947412755809749270046, 'val': 1}
  • id: 1576482
    {'lmfdb_iso': '32368.q', 'p': 53, 'prec': 20, 'unit': 115587811292483241402319518300918, 'val': 1}
  • id: 1576487
    {'lmfdb_iso': '32368.q', 'p': 61, 'prec': 20, 'unit': 5695384914237913489936507652205366, 'val': 1}
  • id: 1576471
    {'lmfdb_iso': '32368.q', 'p': 67, 'prec': 20, 'unit': 42637044019515996351574739204075484, 'val': 1}
  • id: 1576474
    {'lmfdb_iso': '32368.q', 'p': 71, 'prec': 20, 'unit': 91968138256168101190143715209532728, 'val': 1}
  • id: 1576483
    {'lmfdb_iso': '32368.q', 'p': 73, 'prec': 20, 'unit': 179170603242850325809450594943466192, 'val': 1}
  • id: 1576486
    {'lmfdb_iso': '32368.q', 'p': 79, 'prec': 20, 'unit': 1042826130118787138714334456029090179, 'val': 1}
  • id: 1576484
    {'lmfdb_iso': '32368.q', 'p': 83, 'prec': 20, 'unit': 1010836571371298112315310450623917038, 'val': 1}
  • id: 1576485
    {'lmfdb_iso': '32368.q', 'p': 89, 'prec': 20, 'unit': 2928995797042972127383968300515939745, 'val': 1}
  • id: 1576470
    {'lmfdb_iso': '32368.q', 'p': 97, 'prec': 20, 'unit': 21510567411740060664761740778611228243, '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: 215175
    {'Ciso': '32368a', 'Clabel': '32368a4', 'Cnumber': 4, 'abc_quality': 1.0465382471182303, 'absD': 346036189184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 952, 'ainvs': [0, 0, 0, -86411, -9776870], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 32368, 'degree': 73728, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4145738452295205517782237719', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [1443468546, 7], 'lmfdb_iso': '32368.q', 'lmfdb_label': '32368.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -299, 1990], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '136.24.0.?', '476.12.0.?', '952.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6052496759241440445574916086', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2023], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298171', 'prec': 107}, 'szpiro_ratio': 4.401977997408109, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 215174
    {'Ciso': '32368a', 'Clabel': '32368a3', 'Cnumber': 3, 'abc_quality': 1.1170620055320515, 'absD': 118690412890112, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 952, 'ainvs': [0, 0, 0, -17051, 677994], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 32368, 'degree': 73728, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4145738452295205517782237719', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [11090466, 2401], 'lmfdb_iso': '32368.q', 'lmfdb_label': '32368.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, -138], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '56.24.0.v.1', '68.12.0-4.c.1.2', '136.24.0.?', '952.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4013124189810360111393729021', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298171', 'prec': 107}, 'szpiro_ratio': 3.933152452092147, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 215173
    {'Ciso': '32368a', 'Clabel': '32368a2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 1211126662144, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 952, 'ainvs': [0, 0, 0, -5491, -147390], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 32368, 'degree': 36864, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0680002549495478970696077112', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '32368.q', 'lmfdb_label': '32368.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '56.24.0.d.1', '68.12.0-2.a.1.1', '136.24.0.?', '476.24.0.?', '952.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8026248379620720222787458043', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636562', 'prec': 107}, 'szpiro_ratio': 3.6058226725215587, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 215172
    {'Ciso': '32368a', 'Clabel': '32368a1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 43254523648, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 952, 'ainvs': [0, 0, 0, 289, -9826], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 32368, 'degree': 18432, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72142666466957524236099165048', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [432, 7], 'lmfdb_iso': '32368.q', 'lmfdb_label': '32368.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1, 2], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '14.6.0.b.1', '28.12.0.g.1', '56.24.0.bn.1', '68.12.0-4.c.1.1', '136.24.0.?', '476.24.0.?', '952.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6052496759241440445574916086', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2023], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1572781277318296707085970728', 'prec': 103}, 'szpiro_ratio': 3.0725997774880276, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}