Elliptic curve isogeny class data - 20160.cz

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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, 1, 0, -1, 0, 0, 0, -4, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, -1, -4, 2, -2, -4, 8, -2, 0, -6, 6, 4, 0, -10, 12, -14, 12, 8, 10, 16, -12, -10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 20160, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '20160.cz', 'trace_hash': 1092166393215764486}
• ec_padic •

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

  
  
  • id: 936898
    {'lmfdb_iso': '20160.cz', 'p': 11, 'prec': 20, 'unit': 30838997333419817013, 'val': 1}
  • id: 936896
    {'lmfdb_iso': '20160.cz', 'p': 13, 'prec': 20, 'unit': 698724450840601508904, 'val': 1}
  • id: 936899
    {'lmfdb_iso': '20160.cz', 'p': 17, 'prec': 20, 'unit': 203159811650930029075692, 'val': 1}
  • id: 936900
    {'lmfdb_iso': '20160.cz', 'p': 19, 'prec': 20, 'unit': 1391111612523225643461252, 'val': 1}
  • id: 936903
    {'lmfdb_iso': '20160.cz', 'p': 23, 'prec': 20, 'unit': 50356405141448092344469898, 'val': 1}
  • id: 936895
    {'lmfdb_iso': '20160.cz', 'p': 29, 'prec': 20, 'unit': 1156837698864905078369345911, 'val': 1}
  • id: 936891
    {'lmfdb_iso': '20160.cz', 'p': 37, 'prec': 20, 'unit': 365829890954981043618339756851, 'val': 1}
  • id: 936893
    {'lmfdb_iso': '20160.cz', 'p': 41, 'prec': 20, 'unit': 2109442960294498159123608553201, 'val': 1}
  • id: 936894
    {'lmfdb_iso': '20160.cz', 'p': 43, 'prec': 20, 'unit': 7779617090689689044577411774708, 'val': 1}
  • id: 936901
    {'lmfdb_iso': '20160.cz', 'p': 53, 'prec': 20, 'unit': 299244648049623172508854600040925, 'val': 1}
  • id: 936905
    {'lmfdb_iso': '20160.cz', 'p': 59, 'prec': 20, 'unit': 275307569242714969172263944706262, 'val': 1}
  • id: 936906
    {'lmfdb_iso': '20160.cz', 'p': 61, 'prec': 20, 'unit': 4575967700636244071393806599304172, 'val': 1}
  • id: 936890
    {'lmfdb_iso': '20160.cz', 'p': 67, 'prec': 20, 'unit': 2591727742433612076759927066334701, 'val': 1}
  • id: 936892
    {'lmfdb_iso': '20160.cz', 'p': 71, 'prec': 20, 'unit': 99309684580780867848019216012492659, 'val': 1}
  • id: 936902
    {'lmfdb_iso': '20160.cz', 'p': 73, 'prec': 20, 'unit': 250030924723283137322372965999609462, 'val': 1}
  • id: 936897
    {'lmfdb_iso': '20160.cz', 'p': 79, 'prec': 20, 'unit': 1116582320056957360281927999278924971, 'val': 1}
  • id: 936889
    {'lmfdb_iso': '20160.cz', 'p': 83, 'prec': 20, 'unit': 907416542303229547278224197279196126, 'val': 1}
  • id: 936904
    {'lmfdb_iso': '20160.cz', 'p': 89, 'prec': 20, 'unit': 5514432451192752819655378993338993746, 'val': 1}
  • id: 936888
    {'lmfdb_iso': '20160.cz', 'p': 97, 'prec': 20, 'unit': 31698432641202424765855701748721498207, '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: 133579
    {'Ciso': '20160ce', 'Clabel': '20160ce7', 'Cnumber': 7, 'abc_quality': 1.074666741320478, 'absD': 68825736806400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, -1106380812, 14164624511984], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 3145728, 'elladic_images': ['16.96.0.125'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3834563320695358567765090481', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.2.5', '16.96.0-16.v.2.9', '24.96.0-24.bl.2.4', '48.192.1-48.dq.1.11', '160.192.2.?', '224.192.1.?', '480.384.5.?', '560.192.2.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1595952265319783614752022893', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382475', 'prec': 100}, 'szpiro_ratio': 7.474853855542683, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 133577
    {'Ciso': '20160ce', 'Clabel': '20160ce5', 'Cnumber': 5, 'abc_quality': 1.05504045380176, 'absD': 24787589110824960000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -69148812, 221322182384], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 1572864, 'elladic_images': ['8.96.0.30'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0368827417895632020678929873', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.96.0-8.l.1.4', '24.192.1-24.ch.1.6', '80.192.2.?', '112.192.1.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5797976132659891807376011446', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.635646587530232, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 133580
    {'Ciso': '20160ce', 'Clabel': '20160ce8', 'Cnumber': 8, 'abc_quality': 1.0554678196515268, 'absD': 952636789957818934886400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, -68716812, 224224012784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 3145728, 'elladic_images': ['16.96.0.169'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3834563320695358567765090481', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.6', '16.96.0-16.v.2.10', '24.96.0-24.bp.2.2', '48.192.1-48.eg.1.12', '80.192.2.?', '224.192.1.?', '240.384.5.?', '672.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1595952265319783614752022893', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382475', 'prec': 100}, 'szpiro_ratio': 6.638274969299802, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 133575
    {'Ciso': '20160ce', 'Clabel': '20160ce3', 'Cnumber': 3, 'abc_quality': 1.0358020223701003, 'absD': 23033798172396748800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, -8680332, -9840860944], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 786432, 'elladic_images': ['32.96.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6903091515095905473592769266', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.v.1', '24.48.0-8.bb.1.5', '28.12.0.h.1', '32.96.0-16.v.1.8', '48.96.0-16.v.1.4', '56.48.0.bl.2', '80.96.2.?', '96.192.1.?', '112.96.1.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.2.?', '336.192.1.?', '480.384.5.?', '560.192.5.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1595952265319783614752022893', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 6.007524596382334, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 133576
    {'Ciso': '20160ce', 'Clabel': '20160ce4', 'Cnumber': 4, 'abc_quality': 1.0288195344460926, 'absD': 232286861721600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -4348812, 3412742384], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 786432, 'elladic_images': ['8.96.0.70'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6903091515095905473592769266', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.c.1.3', '24.192.1-24.w.2.1', '56.192.1-56.x.1.9', '80.192.2.?', '168.384.5.?', '240.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7898988066329945903688005723', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 5.798325133112104, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 133574
    {'Ciso': '20160ce', 'Clabel': '20160ce2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 9830000744202240000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -616332, -109225744], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 393216, 'elladic_images': ['16.96.0.47'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3437355612296178926506608659', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.2', '16.96.0-8.l.2.6', '24.96.0-8.l.2.2', '28.24.0.c.1', '48.192.1-48.f.2.5', '56.96.1.cd.2', '80.192.2.?', '112.192.1.?', '168.192.1.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], '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': '3.5797976132659891807376011446', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006525', 'prec': 103}, 'szpiro_ratio': 5.206926979687581, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 133573
    {'Ciso': '20160ce', 'Clabel': '20160ce1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 177529466703052800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, 120948, -12199696], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 196608, 'elladic_images': ['32.96.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9971619709496452379420448051', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '14.6.0.b.1', '16.48.0.v.1', '24.48.0-8.bb.1.5', '28.12.0.g.1', '32.96.0-16.v.1.8', '48.96.0-16.v.1.4', '56.48.0.bh.2', '80.96.0.?', '96.192.1.?', '112.96.1.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.2.?', '336.192.1.?', '480.384.5.?', '560.192.1.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1595952265319783614752022893', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400445', 'prec': 103}, 'szpiro_ratio': 4.714035181388138, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 133578
    {'Ciso': '20160ce', 'Clabel': '20160ce6', 'Cnumber': 6, 'abc_quality': 1.1083142308531486, 'absD': 51438240000000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, 731508, 10909262576], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 1572864, 'elladic_images': ['16.96.0.191'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0368827417895632020678929873', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '20160.cz', 'lmfdb_label': '20160.cz8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.q.1.4', '16.96.0-16.j.1.6', '24.96.0-24.be.1.3', '48.192.1-48.bf.2.5', '56.96.0-56.bd.1.9', '84.24.0.?', '112.192.1.?', '160.192.2.?', '168.192.1.?', '336.384.5.?', '480.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.89494940331649729518440028616', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 2240], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.028267017300838, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}