Elliptic curve isogeny class data - 106470.fp

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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, 0, 1, 1, 0, 1, 1, 0, 1, -4, 0, 0, 1, 0, 1, -2, 0, -4, 1], 'aplist': [1, 0, 1, 1, -4, 0, -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': 106470, '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': '106470.fp', 'trace_hash': 517804774126655020}
• ec_padic •

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

  
  
  • id: 5549313
    {'lmfdb_iso': '106470.fp', 'p': 11, 'prec': 20, 'unit': 12652150824712851, 'val': 3}
  • id: 5549314
    {'lmfdb_iso': '106470.fp', 'p': 17, 'prec': 20, 'unit': 31312859959159636026194, 'val': 1}
  • id: 5549315
    {'lmfdb_iso': '106470.fp', 'p': 19, 'prec': 20, 'unit': 93886908365237294450615, 'val': 1}
  • id: 5549318
    {'lmfdb_iso': '106470.fp', 'p': 23, 'prec': 20, 'unit': 12723881676489498344148461, 'val': 1}
  • id: 5549311
    {'lmfdb_iso': '106470.fp', 'p': 29, 'prec': 20, 'unit': 2008250201033918362553140180, 'val': 1}
  • id: 5549307
    {'lmfdb_iso': '106470.fp', 'p': 37, 'prec': 20, 'unit': 168006474789355849872124770857, 'val': 1}
  • id: 5549309
    {'lmfdb_iso': '106470.fp', 'p': 41, 'prec': 20, 'unit': 3137374734784009979248142063949, 'val': 1}
  • id: 5549310
    {'lmfdb_iso': '106470.fp', 'p': 43, 'prec': 20, 'unit': 4381744393453523204896173480628, 'val': 1}
  • id: 5549316
    {'lmfdb_iso': '106470.fp', 'p': 53, 'prec': 20, 'unit': 40055730684358183392052203279065, 'val': 1}
  • id: 5549320
    {'lmfdb_iso': '106470.fp', 'p': 59, 'prec': 20, 'unit': 597155145159572272550246792021359, 'val': 1}
  • id: 5549321
    {'lmfdb_iso': '106470.fp', 'p': 61, 'prec': 20, 'unit': 2712012161790466968152382466074696, 'val': 1}
  • id: 5549306
    {'lmfdb_iso': '106470.fp', 'p': 67, 'prec': 20, 'unit': 43379789284670771109604487500791338, 'val': 1}
  • id: 5549308
    {'lmfdb_iso': '106470.fp', 'p': 71, 'prec': 20, 'unit': 112055788484157025005878924933562347, 'val': 1}
  • id: 5549317
    {'lmfdb_iso': '106470.fp', 'p': 73, 'prec': 20, 'unit': 221927175452847285501680592793753545, 'val': 1}
  • id: 5549312
    {'lmfdb_iso': '106470.fp', 'p': 79, 'prec': 20, 'unit': 219939002190226033011799841248572738, 'val': 1}
  • id: 5549305
    {'lmfdb_iso': '106470.fp', 'p': 83, 'prec': 20, 'unit': 2056246009305942377434670167770679412, 'val': 1}
  • id: 5549319
    {'lmfdb_iso': '106470.fp', 'p': 89, 'prec': 20, 'unit': 1474045514776710190646620416931423494, 'val': 1}
  • id: 5549304
    {'lmfdb_iso': '106470.fp', 'p': 97, 'prec': 20, 'unit': 13052970384109416591100245612682157430, '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: 698887
    {'Ciso': '106470gc', 'Clabel': '106470gc8', 'Cnumber': 8, 'abc_quality': 1.074666741320478, 'absD': 1267275565524150, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 43680, 'ainvs': [1, -1, 1, -2921536832, 60781355487389], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 37748736, 'elladic_images': ['16.48.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6262102399603862606774045867', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.v.2', '24.48.0.bl.2', '48.96.1.dq.1', '104.48.0.?', '156.12.0.?', '160.96.2.?', '208.96.0.?', '224.96.1.?', '312.96.0.?', '480.192.5.?', '560.96.2.?', '624.192.1.?', '672.192.5.?', '1120.192.5.?', '1680.192.5.?', '2080.192.2.?', '2912.192.1.?', '3360.384.13.?', '6240.384.5.?', '7280.192.2.?', '8736.384.5.?', '14560.384.5.?', '21840.384.5.?', '43680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6063571084220160356759516171', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382475', 'prec': 100}, 'szpiro_ratio': 6.651889027397566, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 698885
    {'Ciso': '106470gc', 'Clabel': '106470gc6', 'Cnumber': 6, 'abc_quality': 1.05504045380176, 'absD': 456409294923522622500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 21840, 'ainvs': [1, -1, 1, -182596082, 949742591789], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 18874368, 'elladic_images': ['8.48.0.144'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2796366496804136059687885259', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.1', '24.96.1.ch.1', '80.96.2.?', '104.96.0.?', '112.96.1.?', '156.24.0.?', '240.192.5.?', '312.192.1.?', '336.192.5.?', '560.192.5.?', '1040.192.2.?', '1456.192.1.?', '1680.384.13.?', '3120.384.5.?', '4368.384.5.?', '7280.384.5.?', '21840.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3031785542110080178379758086', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 5.933329958265432, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 698886
    {'Ciso': '106470gc', 'Clabel': '106470gc7', 'Cnumber': 7, 'abc_quality': 1.0554678196515268, 'absD': 17540725065229454251404150, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 43680, 'ainvs': [1, -1, 1, -181455332, 962194106189], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 37748736, 'elladic_images': ['16.48.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6262102399603862606774045867', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.v.2', '24.48.0.bp.2', '48.96.1.eg.1', '80.96.2.?', '104.48.0.?', '156.12.0.?', '208.96.0.?', '224.96.1.?', '240.192.5.?', '312.96.0.?', '624.192.1.?', '672.192.5.?', '1040.192.2.?', '1120.192.5.?', '2912.192.1.?', '3120.384.5.?', '3360.384.13.?', '8736.384.5.?', '14560.384.5.?', '43680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6063571084220160356759516171', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382475', 'prec': 100}, 'szpiro_ratio': 5.935580472089197, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 698883
    {'Ciso': '106470gc', 'Clabel': '106470gc4', 'Cnumber': 4, 'abc_quality': 1.0358020223701003, 'absD': 424117066660721506800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 43680, 'ainvs': [1, -1, 1, -22921502, -42221557699], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 9437184, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9330630594004409512601724652', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': -39, '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', '28.12.0.h.1', '56.48.0.bl.2', '80.96.2.?', '96.96.1.?', '112.96.1.?', '156.12.0.?', '312.48.0.?', '416.96.0.?', '480.192.5.?', '560.192.5.?', '624.96.0.?', '672.192.5.?', '1092.24.0.?', '1248.192.1.?', '2080.192.2.?', '2184.96.0.?', '2912.192.1.?', '3120.192.2.?', '3360.384.13.?', '4368.192.1.?', '6240.384.5.?', '8736.384.5.?', '14560.384.5.?', '21840.384.5.?', '43680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6063571084220160356759516171', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 5.395509600334547, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 698882
    {'Ciso': '106470gc', 'Clabel': '106470gc3', 'Cnumber': 3, 'abc_quality': 1.0288195344460926, 'absD': 4277055033644006250000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 21840, 'ainvs': [1, -1, 1, -11483582, 14647001789], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 9437184, 'elladic_images': ['8.48.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9330630594004409512601724652', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.48.0.c.1', '24.96.1.w.2', '56.96.1.x.1', '80.96.2.?', '104.96.0.?', '156.48.0.?', '168.192.5.?', '240.192.5.?', '312.192.1.?', '560.192.5.?', '728.192.1.?', '1040.192.2.?', '1680.384.13.?', '2184.384.5.?', '3120.384.5.?', '7280.384.5.?', '21840.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.65158927710550400891898790428', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 5.216385589711503, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 698881
    {'Ciso': '106470gc', 'Clabel': '106470gc2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 180997986076820640000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 21840, 'ainvs': [1, -1, 1, -1627502, -468282499], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 4718592, 'elladic_images': ['8.48.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5864894691204682965515564045', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.2', '28.24.0.c.1', '48.96.1.f.2', '56.96.1.cd.2', '80.96.2.?', '156.24.0.?', '208.96.0.?', '240.192.5.?', '312.96.0.?', '336.192.5.?', '560.192.5.?', '624.192.1.?', '1040.192.2.?', '1092.48.0.?', '1456.192.1.?', '1680.384.13.?', '2184.192.1.?', '3120.384.5.?', '4368.384.5.?', '7280.384.5.?', '21840.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3031785542110080178379758086', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006526', 'prec': 103}, 'szpiro_ratio': 4.710009485965839, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 698880
    {'Ciso': '106470gc', 'Clabel': '106470gc1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 3268817244138700800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 43680, 'ainvs': [1, -1, 1, 319378, -52428931], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 2359296, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2399158788404956418429403437', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': -39, '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', '28.12.0.g.1', '56.48.0.bh.2', '96.96.1.?', '112.96.1.?', '156.12.0.?', '160.96.2.?', '240.96.2.?', '312.48.0.?', '416.96.0.?', '480.192.5.?', '624.96.0.?', '672.192.5.?', '1040.96.0.?', '1092.24.0.?', '1120.192.5.?', '1248.192.1.?', '1680.192.5.?', '2080.192.2.?', '2184.96.0.?', '2912.192.1.?', '3120.192.2.?', '3360.384.13.?', '4368.192.1.?', '6240.384.5.?', '7280.192.1.?', '8736.384.5.?', '14560.384.5.?', '21840.384.5.?', '43680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6063571084220160356759516171', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400445', 'prec': 103}, 'szpiro_ratio': 4.287978022144369, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 698884
    {'Ciso': '106470gc', 'Clabel': '106470gc5', 'Cnumber': 5, 'abc_quality': 1.1083142308531486, 'absD': 947122801880493164062500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 43680, 'ainvs': [1, -1, 1, 1931638, 46811333261], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 106470, 'degree': 18874368, 'elladic_images': ['16.48.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2796366496804136059687885259', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '106470.fp', 'lmfdb_label': '106470.fp8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.q.1', '16.48.0.j.1', '24.48.0.be.1', '48.96.1.bf.2', '56.48.0.bd.1', '84.24.0.?', '104.48.0.?', '112.96.1.?', '156.24.0.?', '160.96.2.?', '168.96.1.?', '208.96.0.?', '312.96.0.?', '336.192.5.?', '364.24.0.?', '480.192.5.?', '624.192.1.?', '728.96.0.?', '1092.48.0.?', '1120.192.5.?', '1456.192.1.?', '2080.192.2.?', '2184.192.1.?', '3360.384.13.?', '4368.384.5.?', '6240.384.5.?', '14560.384.5.?', '43680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3031785542110080178379758086', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 5.4132699978368795, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}