Elliptic curve isogeny class data - 97344.bh

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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, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -6, 0], 'aplist': [0, 0, -2, -2, 0, 0, -2, -6, 4, -10, -10, -8, 10, 4, 12, -6, 4, -2, -2, 0, -4, 0, 4, 6, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 97344, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '97344.bh', 'trace_hash': 336145641563142935}
• ec_padic •

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

  
  
  • id: 5063553
    {'lmfdb_iso': '97344.bh', 'p': 5, 'prec': 20, 'unit': 2505818429543, 'val': 2}
  • id: 5063554
    {'lmfdb_iso': '97344.bh', 'p': 7, 'prec': 20, 'unit': 917692305468684, 'val': 2}
  • id: 5063560
    {'lmfdb_iso': '97344.bh', 'p': 17, 'prec': 20, 'unit': 12672948237991088634275, 'val': 1}
  • id: 5063550
    {'lmfdb_iso': '97344.bh', 'p': 19, 'prec': 20, 'unit': 296487098125629419760263, 'val': 1}
  • id: 5063564
    {'lmfdb_iso': '97344.bh', 'p': 23, 'prec': 20, 'unit': 63596302664955275763940850, 'val': 1}
  • id: 5063558
    {'lmfdb_iso': '97344.bh', 'p': 29, 'prec': 20, 'unit': 3423837575528252540378917501, 'val': 1}
  • id: 5063555
    {'lmfdb_iso': '97344.bh', 'p': 31, 'prec': 20, 'unit': 19596857557935684708902806688, 'val': 1}
  • id: 5063568
    {'lmfdb_iso': '97344.bh', 'p': 37, 'prec': 20, 'unit': 574329840944237408715131068627, 'val': 1}
  • id: 5063556
    {'lmfdb_iso': '97344.bh', 'p': 41, 'prec': 20, 'unit': 4386370289353659414156024327085, 'val': 1}
  • id: 5063557
    {'lmfdb_iso': '97344.bh', 'p': 43, 'prec': 20, 'unit': 8077947222441097751890616796508, 'val': 1}
  • id: 5063559
    {'lmfdb_iso': '97344.bh', 'p': 47, 'prec': 20, 'unit': 7163519989841093874725029093174, 'val': 1}
  • id: 5063562
    {'lmfdb_iso': '97344.bh', 'p': 53, 'prec': 20, 'unit': 329283048922814958881853780461457, 'val': 1}
  • id: 5063566
    {'lmfdb_iso': '97344.bh', 'p': 59, 'prec': 20, 'unit': 4126170921087972583747890264442146, 'val': 1}
  • id: 5063567
    {'lmfdb_iso': '97344.bh', 'p': 61, 'prec': 20, 'unit': 5299107334997153147567588207457207, 'val': 1}
  • id: 5063552
    {'lmfdb_iso': '97344.bh', 'p': 67, 'prec': 20, 'unit': 47737922314662814828886370073754443, 'val': 1}
  • id: 5063563
    {'lmfdb_iso': '97344.bh', 'p': 73, 'prec': 20, 'unit': 64633028202441854683657606715458496, 'val': 1}
  • id: 5063561
    {'lmfdb_iso': '97344.bh', 'p': 83, 'prec': 20, 'unit': 2777016155609191578892686272958276591, 'val': 1}
  • id: 5063565
    {'lmfdb_iso': '97344.bh', 'p': 89, 'prec': 20, 'unit': 7825665030715418317754190118857158553, 'val': 1}
  • id: 5063551
    {'lmfdb_iso': '97344.bh', 'p': 97, 'prec': 20, 'unit': 23096070862032725437467527689667793314, '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: 640729
    {'Ciso': '97344dg', 'Clabel': '97344dg4', 'Cnumber': 4, 'abc_quality': 1.0923393619522563, 'absD': 3869367443914752, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -40893996, -100655483344], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 3686400, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7590327685467421524520221386', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [18013780041269221, 9216], 'lmfdb_iso': '97344.bh', 'lmfdb_label': '97344.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -70997, 7275296], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.36.0.b.1', '12.6.0.f.1', '26.6.0.b.1', '60.72.1.dy.1', '65.12.0.a.1', '130.72.1.?', '156.12.0.?', '520.144.1.?', '780.144.5.?', '1560.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.809505552594882749538437230', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 10816], [13, 50, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52876851400738515861517947756', 'prec': 103}, 'szpiro_ratio': 5.58880801324457, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 640728
    {'Ciso': '97344dg', 'Clabel': '97344dg3', 'Cnumber': 3, 'abc_quality': 1.065057693637064, 'absD': 1320744087522902016, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -2555436, -1573308880], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 1843200, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4124591782667694977434060779', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-4395631034341, 3145728], 'lmfdb_iso': '97344.bh', 'lmfdb_label': '97344.bh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4437, 113440], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.b.2', '30.36.0.c.1', '52.6.0.c.1', '60.72.1.dt.1', '65.12.0.a.1', '78.6.0.?', '130.36.0.?', '156.12.0.?', '260.72.1.?', '390.72.1.?', '520.144.1.?', '780.144.5.?', '1560.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.4047527762974413747692186149', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 10816], [13, 50, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18219492372741250390656341686', 'prec': 103}, 'szpiro_ratio': 4.864705566155602, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 640727
    {'Ciso': '97344dg', 'Clabel': '97344dg2', 'Cnumber': 2, 'abc_quality': 1.065463153454839, 'absD': 99167655466893312, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -121836, 6194864], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 737280, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9543138123296919651516424720', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [476379541, 236196], 'lmfdb_iso': '97344.bh', 'lmfdb_label': '97344.bh3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -212, -466], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.36.0.b.2', '12.6.0.f.1', '26.6.0.b.1', '60.72.1.dy.2', '65.12.0.a.2', '130.72.1.?', '156.12.0.?', '520.144.1.?', '780.144.5.?', '1560.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9619011105189765499076874460', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 10816], [13, 50, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27595044220966502868520018904', 'prec': 107}, 'szpiro_ratio': 4.0697258015819555, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 640726
    {'Ciso': '97344dg', 'Clabel': '97344dg1', 'Cnumber': 1, 'abc_quality': 1.160052676835907, 'absD': 1632389390401536, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 27924, 743600], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 368640, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6077402220497193104430264113', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [5735339, 3888], 'lmfdb_iso': '97344.bh', 'lmfdb_label': '97344.bh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 48, -50], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.b.1', '30.36.0.c.2', '52.6.0.c.1', '60.72.1.dt.2', '65.12.0.a.2', '78.6.0.?', '130.36.0.?', '156.12.0.?', '260.72.1.?', '390.72.1.?', '520.144.1.?', '780.144.5.?', '1560.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4809505552594882749538437230', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 10816], [13, 50, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62252403248963768339381624974', 'prec': 107}, 'szpiro_ratio': 3.6849473252807328, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}