Elliptic curve isogeny class data - 30030.p

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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, 1, 1, 1, -1, -1, 1, -6, -1, -4, -1], 'aplist': [-1, 1, -1, 1, 1, 1, -6, -4, 0, -6, 8, -10, -6, -4, 0, 6, 12, -10, 8, 12, 14, 8, 0, 6, 14], 'class_deg': 12, 'class_size': 8, 'conductor': 30030, 'isogeny_matrix': [[1, 2, 3, 4, 6, 12, 12, 4], [2, 1, 6, 2, 3, 6, 6, 2], [3, 6, 1, 12, 2, 4, 4, 12], [4, 2, 12, 1, 6, 3, 12, 4], [6, 3, 2, 6, 1, 2, 2, 6], [12, 6, 4, 3, 2, 1, 4, 12], [12, 6, 4, 12, 2, 4, 1, 3], [4, 2, 12, 4, 6, 12, 3, 1]], 'lmfdb_iso': '30030.p', 'trace_hash': 1945503984782605019}
• ec_padic •

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

  
  
  • id: 1451549
    {'lmfdb_iso': '30030.p', 'p': 17, 'prec': 20, 'unit': 92229487967453984647024, 'val': 1}
  • id: 1451550
    {'lmfdb_iso': '30030.p', 'p': 19, 'prec': 20, 'unit': 339684404923497543126641, 'val': 1}
  • id: 1451547
    {'lmfdb_iso': '30030.p', 'p': 29, 'prec': 20, 'unit': 6039278684411594199486186173, 'val': 1}
  • id: 1451556
    {'lmfdb_iso': '30030.p', 'p': 31, 'prec': 20, 'unit': 4177057194520665641371606836, 'val': 1}
  • id: 1451543
    {'lmfdb_iso': '30030.p', 'p': 37, 'prec': 20, 'unit': 185484225577602052649522029826, 'val': 1}
  • id: 1451545
    {'lmfdb_iso': '30030.p', 'p': 41, 'prec': 20, 'unit': 616323526822257852649680461459, 'val': 1}
  • id: 1451546
    {'lmfdb_iso': '30030.p', 'p': 43, 'prec': 20, 'unit': 4300633393876125062892985667089, 'val': 1}
  • id: 1451551
    {'lmfdb_iso': '30030.p', 'p': 53, 'prec': 20, 'unit': 231836764573788252536764080347386, 'val': 1}
  • id: 1451554
    {'lmfdb_iso': '30030.p', 'p': 59, 'prec': 20, 'unit': 3101041335503779273533680005458588, 'val': 1}
  • id: 1451555
    {'lmfdb_iso': '30030.p', 'p': 61, 'prec': 20, 'unit': 7156789002573075181338717712599341, 'val': 1}
  • id: 1451542
    {'lmfdb_iso': '30030.p', 'p': 67, 'prec': 20, 'unit': 23047040051276988287970293153190243, 'val': 1}
  • id: 1451544
    {'lmfdb_iso': '30030.p', 'p': 71, 'prec': 20, 'unit': 95788995589790006202188938043636572, 'val': 1}
  • id: 1451552
    {'lmfdb_iso': '30030.p', 'p': 73, 'prec': 20, 'unit': 147379996852075032764714470257426796, 'val': 1}
  • id: 1451548
    {'lmfdb_iso': '30030.p', 'p': 79, 'prec': 20, 'unit': 586433805226217880443994839981755552, 'val': 1}
  • id: 1451553
    {'lmfdb_iso': '30030.p', 'p': 89, 'prec': 20, 'unit': 8803302484194096483027698139338204492, 'val': 1}
  • id: 1451541
    {'lmfdb_iso': '30030.p', 'p': 97, 'prec': 20, 'unit': 54496621649117044959073418831551114420, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 199742
    {'Ciso': '30030r', 'Clabel': '30030r8', 'Cnumber': 8, 'abc_quality': 1.0130551257130733, 'absD': 4007004103295286093000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -105752574, -418583571128], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 5971968, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2426283769444386334732368154', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [130796627670002750950880364889, 4007004103295286093000], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -105752574, -418583571128], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '40.12.0-4.c.1.1', '52.12.0-4.c.1.1', '120.96.0.?', '156.96.0.?', '520.24.0.?', '616.12.0.?', '1560.192.1.?', '1848.96.0.?', '3080.24.0.?', '8008.24.0.?', '9240.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3465317910299199602318104798', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2426283769444386334732368154', 'prec': 100}, 'szpiro_ratio': 6.502788773448088, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 199740
    {'Ciso': '30030r', 'Clabel': '30030r6', 'Cnumber': 6, 'abc_quality': 0.9941380459135555, 'absD': 5565686539253841000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -6887574, -5960607128], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 2985984, 'elladic_images': ['2.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8960547866644659787646207546', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [36134533748915083453404889, 5565686539253841000000], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6887574, -5960607128], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs', '3B.1.2'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.1', '6.48.0-6.a.1.2', '40.12.0-2.a.1.1', '52.12.0-2.a.1.1', '120.96.0.?', '156.96.0.?', '308.12.0.?', '520.24.0.?', '924.96.0.?', '1560.192.1.?', '3080.24.0.?', '4004.24.0.?', '9240.192.1.?', '12012.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.67326589551495998011590523988', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8960547866644659787646207546', 'prec': 100}, 'szpiro_ratio': 5.708008178371341, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 199739
    {'Ciso': '30030r', 'Clabel': '30030r5', 'Cnumber': 5, 'abc_quality': 1.0019367919960929, 'absD': 714126686285699857170, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -2313909, 426827206], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 1990656, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6933222326103837877756141969', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1370131553911340548947529, 714126686285699857170], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2313909, 426827206], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '40.12.0-4.c.1.1', '52.12.0-4.c.1.1', '120.96.0.?', '156.96.0.?', '520.24.0.?', '616.12.0.?', '1560.192.1.?', '1848.96.0.?', '3080.24.0.?', '8008.24.0.?', '9240.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0395953730897598806954314393', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6933222326103837877756141969', 'prec': 100}, 'szpiro_ratio': 5.390611723902626, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 199737
    {'Ciso': '30030r', 'Clabel': '30030r3', 'Cnumber': 3, 'abc_quality': 0.9811892024353367, 'absD': 74603529000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -1887574, 907392872], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 1492992, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5494811963844933240560046939', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [743764321292317933404889, 74603529000000000000], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1887574, 907392872], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '40.12.0-4.c.1.4', '52.12.0-4.c.1.2', '120.96.0.?', '156.96.0.?', '308.12.0.?', '520.24.0.?', '924.96.0.?', '1560.192.1.?', '2002.6.0.?', '3080.24.0.?', '4004.24.0.?', '6006.48.0.?', '9240.192.1.?', '12012.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3465317910299199602318104798', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5494811963844933240560046939', 'prec': 100}, 'szpiro_ratio': 5.3313546277267845, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 199736
    {'Ciso': '30030r', 'Clabel': '30030r2', 'Cnumber': 2, 'abc_quality': 0.9792914544790772, 'absD': 779639711718968100, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -1840059, 959624146], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 995328, 'elladic_images': ['2.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3467486423304111330669981362', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [688999042618248810121129, 779639711718968100], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1840059, 959624146], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs', '3B.1.1'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.2', '6.48.0-6.a.1.1', '40.12.0-2.a.1.1', '52.12.0-2.a.1.1', '120.96.0.?', '156.96.0.?', '308.12.0.?', '520.24.0.?', '924.96.0.?', '1560.192.1.?', '3080.24.0.?', '4004.24.0.?', '9240.192.1.?', '12012.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 26, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0197976865448799403477157196', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3467486423304111330669981362', 'prec': 100}, 'szpiro_ratio': 5.323936132518444, 'torsion': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6]}
  • id: 199735
    {'Ciso': '30030r', 'Clabel': '30030r1', 'Cnumber': 1, 'abc_quality': 0.9792716811399312, 'absD': 882972090000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -1839559, 960172346], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 497664, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0001750520504384783583820754', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [688437529087783927489129, 882972090000], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1839559, 960172346], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '40.12.0-4.c.1.4', '52.12.0-4.c.1.2', '120.96.0.?', '156.96.0.?', '308.12.0.?', '520.24.0.?', '924.96.0.?', '1560.192.1.?', '2002.6.0.?', '3080.24.0.?', '4004.24.0.?', '6006.48.0.?', '9240.192.1.?', '12012.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0395953730897598806954314393', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0001750520504384783583820754', 'prec': 100}, 'szpiro_ratio': 5.323857053369693, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 199738
    {'Ciso': '30030r', 'Clabel': '30030r4', 'Cnumber': 4, 'abc_quality': 0.9919358401725701, 'absD': 751553009101890965970, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -1374209, 1457338286], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 1990656, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6933222326103837877756141969', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-286999819333751016766729, 751553009101890965970], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1374209, 1457338286], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '40.12.0-4.c.1.2', '104.12.0.?', '120.96.0.?', '308.12.0.?', '312.96.0.?', '520.24.0.?', '924.96.0.?', '1560.192.1.?', '3080.24.0.?', '8008.24.0.?', '9240.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0395953730897598806954314393', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6933222326103837877756141969', 'prec': 100}, 'szpiro_ratio': 5.404783344813464, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 199741
    {'Ciso': '30030r', 'Clabel': '30030r7', 'Cnumber': 7, 'abc_quality': 1.0115411481338452, 'absD': 576736012771479654093000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, 0, 1, 11977426, -32869643128], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30030, 'degree': 5971968, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2426283769444386334732368154', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [190026536708029086053555111, 576736012771479654093000], 'lmfdb_iso': '30030.p', 'lmfdb_label': '30030.p8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 11977426, -32869643128], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '40.12.0-4.c.1.2', '104.12.0.?', '120.96.0.?', '308.12.0.?', '312.96.0.?', '520.24.0.?', '924.96.0.?', '1560.192.1.?', '3080.24.0.?', '8008.24.0.?', '9240.192.1.?', '24024.192.1.?', '40040.48.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3465317910299199602318104798', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2426283769444386334732368154', 'prec': 100}, 'szpiro_ratio': 6.009226428625344, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}