Elliptic curve isogeny class data - 21675.s

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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, 1, -1, -1, 0, -1, 0, -3, 1, 0, 4, 1, 2, 0, 0, -1, 0, 1, 4, 0], 'aplist': [1, -1, 0, 0, 4, 2, 0, 4, 0, 2, 0, -10, -10, -4, -8, 10, -4, 2, -12, 8, 10, 0, -12, -6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 21675, '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': '21675.s', 'trace_hash': 1613917019537411626}
• ec_padic •

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

  
  
  • id: 1017777
    {'lmfdb_iso': '21675.s', 'p': 11, 'prec': 20, 'unit': 13467896696423701833, 'val': 1}
  • id: 1017783
    {'lmfdb_iso': '21675.s', 'p': 13, 'prec': 20, 'unit': 873745235657083841958, 'val': 1}
  • id: 1017785
    {'lmfdb_iso': '21675.s', 'p': 19, 'prec': 20, 'unit': 1786997467081226723591126, 'val': 1}
  • id: 1017782
    {'lmfdb_iso': '21675.s', 'p': 29, 'prec': 20, 'unit': 5728926769067599811607244674, 'val': 1}
  • id: 1017778
    {'lmfdb_iso': '21675.s', 'p': 37, 'prec': 20, 'unit': 325604035163841658787664846611, 'val': 1}
  • id: 1017780
    {'lmfdb_iso': '21675.s', 'p': 41, 'prec': 20, 'unit': 2335946351013533735080934282450, 'val': 1}
  • id: 1017781
    {'lmfdb_iso': '21675.s', 'p': 43, 'prec': 20, 'unit': 6222907997924789226746005107040, 'val': 1}
  • id: 1017784
    {'lmfdb_iso': '21675.s', 'p': 47, 'prec': 20, 'unit': 39907471382506937346550816696260, 'val': 1}
  • id: 1017786
    {'lmfdb_iso': '21675.s', 'p': 53, 'prec': 20, 'unit': 424357541189451579184730685357588, 'val': 1}
  • id: 1017790
    {'lmfdb_iso': '21675.s', 'p': 59, 'prec': 20, 'unit': 4041636160611928628954239719257161, 'val': 1}
  • id: 1017791
    {'lmfdb_iso': '21675.s', 'p': 61, 'prec': 20, 'unit': 6954756822031184756905048681627252, 'val': 1}
  • id: 1017776
    {'lmfdb_iso': '21675.s', 'p': 67, 'prec': 20, 'unit': 26535405373951341072606381452439983, 'val': 1}
  • id: 1017779
    {'lmfdb_iso': '21675.s', 'p': 71, 'prec': 20, 'unit': 98198907289403568084475322386884055, 'val': 1}
  • id: 1017787
    {'lmfdb_iso': '21675.s', 'p': 73, 'prec': 20, 'unit': 244135522648859087454542542971791195, 'val': 1}
  • id: 1017788
    {'lmfdb_iso': '21675.s', 'p': 83, 'prec': 20, 'unit': 1628457727739871329910446035115591472, 'val': 1}
  • id: 1017789
    {'lmfdb_iso': '21675.s', 'p': 89, 'prec': 20, 'unit': 3487714072107669045655391167430487101, 'val': 1}
  • id: 1017775
    {'lmfdb_iso': '21675.s', 'p': 97, 'prec': 20, 'unit': 12424474223728523914088093700010610273, '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: 143857
    {'Ciso': '21675c', 'Clabel': '21675c8', 'Cnumber': 8, 'abc_quality': 1.0735374703334082, 'absD': 152745553828125, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 0, -15606150, -23736178125], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 491520, 'elladic_images': ['16.48.0.121'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5121952367222597493987825998', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '16.48.0.x.2', '20.12.0.g.1', '40.48.0.bj.1', '68.12.0-4.c.1.1', '80.96.1.?', '96.96.1.?', '136.48.0.?', '160.192.5.?', '240.192.5.?', '272.96.0.?', '340.24.0.?', '480.384.13.?', '680.96.0.?', '1360.192.1.?', '1632.192.1.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.365732880228212410488714654', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562425', 'prec': 103}, 'szpiro_ratio': 6.140189617666034, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 143855
    {'Ciso': '21675c', 'Clabel': '21675c6', 'Cnumber': 6, 'abc_quality': 1.038972011651739, 'absD': 61861949300390625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [1, 1, 0, -975525, -371070000], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 245760, 'elladic_images': ['8.48.0.123'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1656216464422870946901665391', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.k.1', '20.24.0.c.1', '40.96.1.cc.2', '48.96.1.e.2', '68.24.0-4.b.1.2', '80.192.5.?', '136.96.0.?', '240.384.13.?', '340.48.0.?', '680.192.1.?', '816.192.1.?', '1360.384.5.?', '4080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.182866440114106205244357327', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436450', 'prec': 110}, 'szpiro_ratio': 5.307116385395735, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 143856
    {'Ciso': '21675c', 'Clabel': '21675c7', 'Cnumber': 7, 'abc_quality': 1.0594919023465201, 'absD': 81175249871972578125, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 0, -794900, -512499375], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 491520, 'elladic_images': ['16.48.0.134'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5121952367222597493987825998', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '16.48.0.u.2', '20.12.0.h.1', '40.48.0.bm.2', '68.12.0-4.c.1.2', '80.192.5.?', '96.96.1.?', '136.48.0.?', '272.96.0.?', '340.24.0.?', '480.384.13.?', '680.96.0.?', '1360.384.5.?', '1632.192.1.?', '8160.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.365732880228212410488714654', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562425', 'prec': 103}, 'szpiro_ratio': 5.371787897006048, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 143853
    {'Ciso': '21675c', 'Clabel': '21675c4', 'Cnumber': 4, 'abc_quality': 1.030187200332639, 'absD': 5657242734375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 0, -578150, 168962625], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 122880, 'elladic_images': ['32.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8190480561623144399815504784', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0.by.2', '32.48.0.e.1', '40.24.0.cb.2', '48.48.0.bs.1', '60.12.0.h.1', '80.96.2.?', '96.96.1.?', '120.48.0.?', '136.24.0.?', '160.192.5.?', '204.12.0.?', '240.192.5.?', '272.48.0.?', '340.12.0.?', '408.48.0.?', '480.384.13.?', '544.96.0.?', '680.48.0.?', '816.96.0.?', '1020.24.0.?', '1360.192.2.?', '1632.192.1.?', '2040.96.0.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2728583050142632756555446659', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649715', 'prec': 107}, 'szpiro_ratio': 5.149920912334781, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 143852
    {'Ciso': '21675c', 'Clabel': '21675c3', 'Cnumber': 3, 'abc_quality': 1.0253374473912513, 'absD': 19093194228515625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [1, 1, 0, -72400, -3498125], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 122880, 'elladic_images': ['8.48.0.44'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8190480561623144399815504784', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [111284641, 50625], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10, -10], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.48.0.b.2', '24.96.1.n.1', '40.96.1.s.1', '80.192.5.?', '120.192.5.?', '136.96.0.?', '240.384.13.?', '340.48.0.?', '408.192.1.?', '680.192.1.?', '1360.384.5.?', '2040.384.5.?', '4080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0914332200570531026221786635', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649715', 'prec': 107}, 'szpiro_ratio': 4.525630501353796, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 143851
    {'Ciso': '21675c', 'Clabel': '21675c2', 'Cnumber': 2, 'abc_quality': 0.9622954410890624, 'absD': 84858641015625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [1, 1, 0, -36275, 2607000], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 61440, 'elladic_images': ['16.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4724744658823417852729344177', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '16.48.0.d.2', '24.48.0.bb.2', '40.48.0.bd.1', '48.96.1.n.1', '60.24.0.c.1', '80.192.5.?', '120.96.1.?', '136.48.0.?', '204.24.0.?', '240.384.13.?', '272.96.0.?', '340.24.0.?', '408.96.0.?', '680.96.0.?', '816.192.1.?', '1020.48.0.?', '1360.384.5.?', '2040.192.1.?', '4080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5457166100285265513110893318', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255785', 'prec': 107}, 'szpiro_ratio': 4.317975382992515, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 143850
    {'Ciso': '21675c', 'Clabel': '21675c1', 'Cnumber': 1, 'abc_quality': 1.1980768440515948, 'absD': 5657242734375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 0, -150, 114375], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 30720, 'elladic_images': ['32.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1259008756023691305643183569', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0.bz.1', '30.6.0.a.1', '32.48.0.e.1', '40.24.0.cb.2', '48.48.0.bv.1', '60.12.0.g.1', '80.96.2.?', '96.96.1.?', '120.48.0.?', '136.24.0.?', '160.192.5.?', '204.12.0.?', '240.192.5.?', '272.48.0.?', '340.12.0.?', '408.48.0.?', '480.384.13.?', '544.96.0.?', '680.48.0.?', '816.96.0.?', '1020.24.0.?', '1360.192.2.?', '1632.192.1.?', '2040.96.0.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], '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': '2.2728583050142632756555446659', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 3.687803532020384, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 143854
    {'Ciso': '21675c', 'Clabel': '21675c5', 'Cnumber': 5, 'abc_quality': 1.0558519748642754, 'absD': 1325916265869140625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 0, 252725, -25931750], 'analytic_rank': 1, 'bad_primes': [3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 21675, 'degree': 245760, 'elladic_images': ['8.48.0.197'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1656216464422870946901665391', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '21675.s', 'lmfdb_label': '21675.s8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0.n.2', '24.96.1.cv.2', '80.96.1.?', '160.192.5.?', '240.192.5.?', '272.96.0.?', '340.24.0.?', '480.384.13.?', '680.96.0.?', '816.192.1.?', '1360.192.1.?', '2040.192.1.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5457166100285265513110893318', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [3, 4, 7225], [5, 18, 867], [17, 146, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436450', 'prec': 110}, 'szpiro_ratio': 4.901260625951416, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}