Elliptic curve isogeny class data - 82110.bs

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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, 1, 1, -1, 1, 1, 1, -4, 1, -2, -1, 1, 1, 1, 1, 4, 1], 'aplist': [1, 1, 1, -1, -4, -2, 1, 4, -1, -2, 0, -10, -6, 12, 0, -10, 12, -2, 4, 8, -6, 0, 4, -6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 82110, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '82110.bs', 'trace_hash': 1601533552796115024}
• ec_padic •

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

  
  
  • id: 4236030
    {'lmfdb_iso': '82110.bs', 'p': 11, 'prec': 20, 'unit': 32702201256068778573, 'val': 1}
  • id: 4236028
    {'lmfdb_iso': '82110.bs', 'p': 13, 'prec': 20, 'unit': 170422566261904553613, 'val': 1}
  • id: 4236031
    {'lmfdb_iso': '82110.bs', 'p': 19, 'prec': 20, 'unit': 626463097538166343515799, 'val': 1}
  • id: 4236029
    {'lmfdb_iso': '82110.bs', 'p': 29, 'prec': 20, 'unit': 1274550482482936693442952409, 'val': 1}
  • id: 4236024
    {'lmfdb_iso': '82110.bs', 'p': 37, 'prec': 20, 'unit': 153709385256265349528642532492, 'val': 1}
  • id: 4236026
    {'lmfdb_iso': '82110.bs', 'p': 41, 'prec': 20, 'unit': 4124505813912686061724912329002, 'val': 1}
  • id: 4236027
    {'lmfdb_iso': '82110.bs', 'p': 43, 'prec': 20, 'unit': 313794116651113313610543150545, 'val': 1}
  • id: 4236032
    {'lmfdb_iso': '82110.bs', 'p': 53, 'prec': 20, 'unit': 514079795423136305242908110955302, 'val': 1}
  • id: 4236035
    {'lmfdb_iso': '82110.bs', 'p': 59, 'prec': 20, 'unit': 1373180473342419009630894594773602, 'val': 1}
  • id: 4236036
    {'lmfdb_iso': '82110.bs', 'p': 61, 'prec': 20, 'unit': 7849164803061490415256332888441995, 'val': 1}
  • id: 4236023
    {'lmfdb_iso': '82110.bs', 'p': 67, 'prec': 20, 'unit': 20277641553557277290824445517887470, 'val': 1}
  • id: 4236025
    {'lmfdb_iso': '82110.bs', 'p': 71, 'prec': 20, 'unit': 73271211922403488414681125325869296, 'val': 1}
  • id: 4236033
    {'lmfdb_iso': '82110.bs', 'p': 73, 'prec': 20, 'unit': 185266699369358011617986951364440946, 'val': 1}
  • id: 4236022
    {'lmfdb_iso': '82110.bs', 'p': 83, 'prec': 20, 'unit': 2576603744706529038439982148985526394, 'val': 1}
  • id: 4236034
    {'lmfdb_iso': '82110.bs', 'p': 89, 'prec': 20, 'unit': 3214872213493159338462367919601441120, 'val': 1}
  • id: 4236021
    {'lmfdb_iso': '82110.bs', 'p': 97, 'prec': 20, 'unit': 55070366777344394997085987446012228866, '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: 541412
    {'Ciso': '82110bt', 'Clabel': '82110bt8', 'Cnumber': 8, 'abc_quality': 1.0322249875334464, 'absD': 161260899317970551066940, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1313760, 'ainvs': [1, 0, 0, -25879815780, -1602472070375340], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 117440512, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3406737994691680591410218738', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1916934412547006969354120058646317121, 161260899317970551066940], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25879815780, -1602472070375340], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '16.96.0-16.v.2.5', '60.24.0-60.h.1.1', '120.96.0.?', '240.192.1.?', '3808.192.2.?', '5152.192.1.?', '6256.192.2.?', '57120.384.5.?', '77280.384.5.?', '87584.384.5.?', '93840.384.5.?', '1313760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.278921937452749572173101002', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 15], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.3406737994691680591410218738', 'prec': 100}, 'szpiro_ratio': 7.3829229205339, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 541410
    {'Ciso': '82110bt', 'Clabel': '82110bt6', 'Cnumber': 6, 'abc_quality': 1.0165145064337664, 'absD': 135739171637240733141123600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 656880, 'ainvs': [1, 0, 0, -1617601080, -25035066997200], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 58720256, 'elladic_images': ['8.96.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9941002091891954044324058131', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [468099305477291219804418298216321, 135739171637240733141123600], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1617601080, -25035066997200], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.l.1.1', '60.48.0-60.c.1.2', '120.192.1.?', '1904.192.2.?', '2576.192.1.?', '6256.192.2.?', '28560.384.5.?', '38640.384.5.?', '43792.384.5.?', '93840.384.5.?', '656880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.1394609687263747860865505011', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.9941002091891954044324058131', 'prec': 100}, 'szpiro_ratio': 6.647884633271087, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 541411
    {'Ciso': '82110bt', 'Clabel': '82110bt7', 'Cnumber': 7, 'abc_quality': 1.0711754383162881, 'absD': 255321054523588348291733959740, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1313760, 'ainvs': [1, 0, 0, -1409434380, -31714678433460], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 117440512, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3406737994691680591410218738', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-309640881349964101700603056547521, 255321054523588348291733959740], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1409434380, -31714678433460], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '16.96.0-16.v.2.5', '30.6.0.a.1', '60.24.0-60.g.1.1', '120.96.0.?', '240.192.1.?', '1904.192.2.?', '5152.192.1.?', '12512.192.2.?', '28560.384.5.?', '77280.384.5.?', '87584.384.5.?', '187680.384.5.?', '1313760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.278921937452749572173101002', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 15], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.3406737994691680591410218738', 'prec': 100}, 'szpiro_ratio': 6.689640912951567, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 541408
    {'Ciso': '82110bt', 'Clabel': '82110bt4', 'Cnumber': 4, 'abc_quality': 1.006028426914323, 'absD': 60743509039087274201760000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 656880, 'ainvs': [1, 0, 0, -114223080, -283150929600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 29360128, 'elladic_images': ['8.96.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6475266189092227497237897523', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [164810665209657549410090824321, 60743509039087274201760000], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -114223080, -283150929600], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '8.96.0-8.c.1.1', '120.192.1.?', '1288.192.1.?', '1904.192.2.?', '6256.192.2.?', '19320.384.5.?', '28560.384.5.?', '43792.384.5.?', '93840.384.5.?', '656880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0697304843631873930432752506', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.6475266189092227497237897523', 'prec': 100}, 'szpiro_ratio': 5.945183294623821, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 541406
    {'Ciso': '82110bt', 'Clabel': '82110bt2', 'Cnumber': 2, 'abc_quality': 0.9923666812811367, 'absD': 363628103290905600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 656880, 'ainvs': [1, 0, 0, -49423080, 130545230400], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 14680064, 'elladic_images': ['8.96.0.40'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3009530286292500950151736916', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13350979617415439280823624321, 363628103290905600000000], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49423080, 130545230400], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.l.2.2', '240.192.1.?', '644.48.0.?', '1288.192.1.?', '1904.192.2.?', '6256.192.2.?', '28560.384.5.?', '38640.384.5.?', '43792.384.5.?', '93840.384.5.?', '656880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 36, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0348652421815936965216376253', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.3009530286292500950151736916', 'prec': 100}, 'szpiro_ratio': 5.723086384275005, 'torsion': 16, 'torsion_primes': [2], 'torsion_structure': [2, 8]}
  • id: 541405
    {'Ciso': '82110bt', 'Clabel': '82110bt1', 'Cnumber': 1, 'abc_quality': 0.9919472947720096, 'absD': 10116926999101440000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1313760, 'ainvs': [1, 0, 0, -49095400, 132402324032], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 7340032, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9543794383492774403065576309', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [13087181362848921857775657601, 10116926999101440000], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49095400, 132402324032], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '322.6.0.?', '480.192.1.?', '644.24.0.?', '1288.96.0.?', '2576.192.1.?', '3808.192.2.?', '12512.192.2.?', '28560.192.2.?', '57120.384.5.?', '77280.384.5.?', '87584.384.5.?', '93840.192.2.?', '187680.384.5.?', '656880.384.5.?', '1313760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0697304843631873930432752506', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 161], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9543794383492774403065576309', 'prec': 100}, 'szpiro_ratio': 5.721322787719762, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 541407
    {'Ciso': '82110bt', 'Clabel': '82110bt3', 'Cnumber': 3, 'abc_quality': 1.0342336228416071, 'absD': 78239096930039062500000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1313760, 'ainvs': [1, 0, 0, 10134040, 425388708672], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 29360128, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6475266189092227497237897523', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [115099000398621243971890559, 78239096930039062500000000], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 10134040, 425388708672], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '480.192.1.?', '644.24.0.?', '1288.96.0.?', '1904.192.2.?', '2576.192.1.?', '6256.192.2.?', '43792.384.5.?', '57120.384.5.?', '77280.384.5.?', '187680.384.5.?', '1313760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0697304843631873930432752506', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 161], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.6475266189092227497237897523', 'prec': 100}, 'szpiro_ratio': 5.927604809947329, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 541409
    {'Ciso': '82110bt', 'Clabel': '82110bt5', 'Cnumber': 5, 'abc_quality': 1.0168811917145575, 'absD': 4540848316592979232425603600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1313760, 'ainvs': [1, 0, 0, 352354920, -2007529902000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 82110, 'degree': 58720256, 'elladic_images': ['16.96.0.25'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9941002091891954044324058131', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4837987390362436347081585367679, 4540848316592979232425603600], 'lmfdb_iso': '82110.bs', 'lmfdb_label': '82110.bs8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 352354920, -2007529902000], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.48.0-8.q.1.2', '16.96.0-16.j.1.2', '120.96.0.?', '240.192.1.?', '1288.96.0.?', '2576.192.1.?', '3808.192.2.?', '12512.192.2.?', '19320.192.1.?', '38640.384.5.?', '57120.384.5.?', '87584.384.5.?', '187680.384.5.?', '1313760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.1394609687263747860865505011', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.9941002091891954044324058131', 'prec': 100}, 'szpiro_ratio': 6.243832285107038, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}