Elliptic curve isogeny class data - 92400.ho

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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, 1, 0, 1, 0, 1, 0, -2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 1, 0, 1, 1, -2, -6, 4, 0, 6, -8, 10, -6, 8, 0, -6, -12, 2, -4, -12, 10, 4, -12, 6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 92400, 'isogeny_matrix': [[1, 4, 2, 12, 3, 4, 6, 12], [4, 1, 2, 3, 12, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [12, 3, 6, 1, 4, 12, 2, 4], [3, 12, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '92400.ho', 'trace_hash': 1578854165827064750}
• ec_padic •

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

  
  
  • id: 4793123
    {'lmfdb_iso': '92400.ho', 'p': 13, 'prec': 20, 'unit': 1064274844722180443237, 'val': 1}
  • id: 4793125
    {'lmfdb_iso': '92400.ho', 'p': 17, 'prec': 20, 'unit': 4768155219837838894278, 'val': 1}
  • id: 4793115
    {'lmfdb_iso': '92400.ho', 'p': 19, 'prec': 20, 'unit': 1915468069607990197563178, 'val': 1}
  • id: 4793122
    {'lmfdb_iso': '92400.ho', 'p': 29, 'prec': 20, 'unit': 1236583243635588339482295971, 'val': 1}
  • id: 4793132
    {'lmfdb_iso': '92400.ho', 'p': 31, 'prec': 20, 'unit': 7842375890832205554417471945, 'val': 1}
  • id: 4793118
    {'lmfdb_iso': '92400.ho', 'p': 37, 'prec': 20, 'unit': 1050916354758812586740724911, 'val': 1}
  • id: 4793120
    {'lmfdb_iso': '92400.ho', 'p': 41, 'prec': 20, 'unit': 3570649830169962943699583421420, 'val': 1}
  • id: 4793121
    {'lmfdb_iso': '92400.ho', 'p': 43, 'prec': 20, 'unit': 7751990269102061594558385231942, 'val': 1}
  • id: 4793127
    {'lmfdb_iso': '92400.ho', 'p': 53, 'prec': 20, 'unit': 293685617906267112853541921113006, 'val': 1}
  • id: 4793130
    {'lmfdb_iso': '92400.ho', 'p': 59, 'prec': 20, 'unit': 2192259001267195692007434925160595, 'val': 1}
  • id: 4793131
    {'lmfdb_iso': '92400.ho', 'p': 61, 'prec': 20, 'unit': 7601337064208972870702023370445292, 'val': 1}
  • id: 4793117
    {'lmfdb_iso': '92400.ho', 'p': 67, 'prec': 20, 'unit': 45856051208685765932118834304499187, 'val': 1}
  • id: 4793119
    {'lmfdb_iso': '92400.ho', 'p': 71, 'prec': 20, 'unit': 101871818387880732653745302969141410, 'val': 1}
  • id: 4793128
    {'lmfdb_iso': '92400.ho', 'p': 73, 'prec': 20, 'unit': 222056268077107370975673150884775768, 'val': 1}
  • id: 4793124
    {'lmfdb_iso': '92400.ho', 'p': 79, 'prec': 20, 'unit': 93170689730438630882551536241914243, 'val': 1}
  • id: 4793126
    {'lmfdb_iso': '92400.ho', 'p': 83, 'prec': 20, 'unit': 966291945646631303562588308641354987, 'val': 1}
  • id: 4793129
    {'lmfdb_iso': '92400.ho', 'p': 89, 'prec': 20, 'unit': 3984783019841337911627582267413544946, 'val': 1}
  • id: 4793116
    {'lmfdb_iso': '92400.ho', 'p': 97, 'prec': 20, 'unit': 25816288214797792507209289993990973717, '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: 608476
    {'Ciso': '92400hj', 'Clabel': '92400hj7', 'Cnumber': 7, 'abc_quality': 1.0344564436307178, 'absD': 153395088000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -2129600408, 37825714951188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 23887872, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6202877679784252616425654450', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16689299266861680229173649, 2396798250], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5324001, -4728746769], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.4', '12.24.0.g.1', '24.48.0-12.g.1.13', '60.48.0-12.g.1.6', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '660.96.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5812972222903332712434279467', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 825], [3, 4, 2800], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1224216312014297649249536569', 'prec': 100}, 'szpiro_ratio': 6.65138943284253, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 608477
    {'Ciso': '92400hj', 'Clabel': '92400hj8', 'Cnumber': 8, 'abc_quality': 1.013360225210077, 'absD': 28471822233612912000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -136600408, 558264951188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 23887872, 'elladic_images': ['8.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6202877679784252616425654450', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [4404531606962679693649, 444872222400201750], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -341501, -69817269], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.3', '12.24.0.g.1', '24.48.0-12.g.1.9', '60.48.0-12.g.1.6', '84.48.0.?', '120.96.0.?', '140.12.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '420.96.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3953243055725833178108569867', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 4, 2800], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1224216312014297649249536569', 'prec': 100}, 'szpiro_ratio': 5.930734022606552, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 608475
    {'Ciso': '92400hj', 'Clabel': '92400hj6', 'Cnumber': 6, 'abc_quality': 1.01113946906003, 'absD': 3125033604000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -133100408, 590989951188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 11943936, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2737141776984526069339493843', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4074571110566294433649, 48828650062500], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -332751, -73907019], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '24.48.0-6.a.1.8', '60.48.0-6.a.1.5', '84.48.0.?', '120.96.0.?', '132.48.0.?', '140.12.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '420.96.0.?', '660.96.0.?', '840.192.1.?', '924.96.1.?', '1320.192.1.?', '1848.192.1.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7906486111451666356217139734', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 2800], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7758480409214571102163375962', 'prec': 100}, 'szpiro_ratio': 5.923923699775173, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 608474
    {'Ciso': '92400hj', 'Clabel': '92400hj5', 'Cnumber': 5, 'abc_quality': 0.9957188233471589, 'absD': 6832189170132480000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -30004408, -63144368812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 7962624, 'elladic_images': ['8.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0709816236443704159449428266', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [46676570542430835889, 106752955783320], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75011, 7885545], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.3', '12.24.0.g.1', '24.48.0-12.g.1.9', '60.48.0-12.g.1.2', '84.48.0.?', '120.96.0.?', '140.12.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '420.96.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.46510810185752777260361899556', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 4, 4400], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5731154868673749192273310385', 'prec': 100}, 'szpiro_ratio': 5.533043477890861, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 608473
    {'Ciso': '92400hj', 'Clabel': '92400hj4', 'Cnumber': 4, 'abc_quality': 0.9942951054038932, 'absD': 10523807484664320000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -26324408, 51742351188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 7962624, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0709816236443704159449428266', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [31522423139920199089, 164434491947880], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -65811, -6474375], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.4', '12.24.0.g.1', '24.48.0-12.g.1.13', '60.48.0-12.g.1.2', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '660.96.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8604324074301110904144759822', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 825], [3, 4, 4400], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5731154868673749192273310385', 'prec': 100}, 'szpiro_ratio': 5.498711901774586, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 608472
    {'Ciso': '92400hj', 'Clabel': '92400hj3', 'Cnumber': 3, 'abc_quality': 1.080406817362685, 'absD': 6987750000000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -8100408, 9739951188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 5971968, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9271405874184799522253333236', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-918468938249433649, 109183593750000], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -20251, -1219519], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.2', '12.24.0.g.1', '24.48.0-12.g.1.15', '60.48.0-12.g.1.6', '84.48.0.?', '120.96.0.?', '132.48.0.?', '140.12.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '420.96.0.?', '462.24.0.?', '660.96.0.?', '840.192.1.?', '924.96.1.?', '1320.192.1.?', '1848.192.1.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5812972222903332712434279467', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5775], [3, 4, 2800], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4292744506414844555077215355', 'prec': 100}, 'szpiro_ratio': 5.2058174512627655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 608471
    {'Ciso': '92400hj', 'Clabel': '92400hj2', 'Cnumber': 2, 'abc_quality': 1.0177220575444834, 'absD': 1062676545638400000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -2564408, -197008812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 3981312, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7244080333643977612363267658', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [29141055407581489, 16604321025600], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6411, 23985], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '24.48.0-6.a.1.8', '60.48.0-6.a.1.1', '84.48.0.?', '120.96.0.?', '132.48.0.?', '140.12.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '420.96.0.?', '660.96.0.?', '840.192.1.?', '924.96.1.?', '1320.192.1.?', '1848.192.1.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.93021620371505554520723799112', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 4400], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2265418965874022645187149777', 'prec': 100}, 'szpiro_ratio': 4.887694030395553, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 608470
    {'Ciso': '92400hj', 'Clabel': '92400hj1', 'Cnumber': 1, 'abc_quality': 0.9990919448660593, 'absD': 16690544640000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, 635592, -24208812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 1990656, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3778344430844251065277107051', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [443688652450511, 260789760000], 'lmfdb_iso': '92400.ho', 'lmfdb_label': '92400.ho8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1589, 3185], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.2', '12.24.0.g.1', '24.48.0-12.g.1.15', '60.48.0-12.g.1.2', '84.48.0.?', '120.96.0.?', '132.48.0.?', '140.12.0.?', '168.96.0.?', '264.96.0.?', '280.24.0.?', '420.96.0.?', '462.24.0.?', '660.96.0.?', '840.192.1.?', '924.96.1.?', '1320.192.1.?', '1848.192.1.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8604324074301110904144759822', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5775], [3, 4, 4400], [5, 18, 3696], [7, 8, 13200], [11, 12, 8400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87996830630742960981009891703', 'prec': 103}, 'szpiro_ratio': 4.521695840097235, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}