Elliptic curve isogeny class data - 76230.dr

Formats: - HTML - YAML - JSON - 2024-06-14T12:46:44.530894

• 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, 0, 0, 2, 1, 0, 1, 2, 0, -4, -1], 'aplist': [1, 0, -1, 1, 0, 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': 76230, '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': '76230.dr', 'trace_hash': 2008336267327337329}
• ec_padic •

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

  
  
  • id: 3924609
    {'lmfdb_iso': '76230.dr', 'p': 13, 'prec': 20, 'unit': 101093612604323331435, 'val': 1}
  • id: 3924611
    {'lmfdb_iso': '76230.dr', 'p': 17, 'prec': 20, 'unit': 153125934663017551829649, 'val': 1}
  • id: 3924601
    {'lmfdb_iso': '76230.dr', 'p': 19, 'prec': 20, 'unit': 738175222031347766316051, 'val': 1}
  • id: 3924615
    {'lmfdb_iso': '76230.dr', 'p': 23, 'prec': 20, 'unit': 43886339145566988755326938, 'val': 1}
  • id: 3924608
    {'lmfdb_iso': '76230.dr', 'p': 29, 'prec': 20, 'unit': 3012085811758155029837639804, 'val': 1}
  • id: 3924604
    {'lmfdb_iso': '76230.dr', 'p': 37, 'prec': 20, 'unit': 178981744253572889086648765344, 'val': 1}
  • id: 3924606
    {'lmfdb_iso': '76230.dr', 'p': 41, 'prec': 20, 'unit': 44298939846358368596109354677, 'val': 2}
  • id: 3924607
    {'lmfdb_iso': '76230.dr', 'p': 43, 'prec': 20, 'unit': 4865942705332477820528023511128, 'val': 1}
  • id: 3924613
    {'lmfdb_iso': '76230.dr', 'p': 53, 'prec': 20, 'unit': 250031078134704915298155694209874, 'val': 1}
  • id: 3924617
    {'lmfdb_iso': '76230.dr', 'p': 59, 'prec': 20, 'unit': 389470720305443878592197655782893, 'val': 1}
  • id: 3924618
    {'lmfdb_iso': '76230.dr', 'p': 61, 'prec': 20, 'unit': 5045925437387616438046011657822488, 'val': 1}
  • id: 3924603
    {'lmfdb_iso': '76230.dr', 'p': 67, 'prec': 20, 'unit': 28235950252074722269968000835167987, 'val': 1}
  • id: 3924605
    {'lmfdb_iso': '76230.dr', 'p': 71, 'prec': 20, 'unit': 80100104873650218854215486517075727, 'val': 1}
  • id: 3924614
    {'lmfdb_iso': '76230.dr', 'p': 73, 'prec': 20, 'unit': 28653469971573644704828825891176621, 'val': 1}
  • id: 3924610
    {'lmfdb_iso': '76230.dr', 'p': 79, 'prec': 20, 'unit': 775041422196925527010924846598787014, 'val': 1}
  • id: 3924612
    {'lmfdb_iso': '76230.dr', 'p': 83, 'prec': 20, 'unit': 2377557545015126048932577445041676654, 'val': 1}
  • id: 3924616
    {'lmfdb_iso': '76230.dr', 'p': 89, 'prec': 20, 'unit': 8007038954614303732055695183270637699, 'val': 1}
  • id: 3924602
    {'lmfdb_iso': '76230.dr', 'p': 97, 'prec': 20, 'unit': 45631599877500863541523301037231090787, '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: 503653
    {'Ciso': '76230du', 'Clabel': '76230du8', 'Cnumber': 8, 'abc_quality': 1.074666741320478, 'absD': 465122189035350, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 36960, 'ainvs': [1, -1, 1, -2091751223, -36821967736903], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 20971520, 'elladic_images': ['16.48.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5426831976288031646816326549', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': 33, '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', '88.48.0.?', '132.12.0.?', '160.96.2.?', '176.96.0.?', '224.96.1.?', '264.96.0.?', '480.192.5.?', '528.192.1.?', '560.96.2.?', '672.192.5.?', '1120.192.5.?', '1680.192.5.?', '1760.192.2.?', '2464.192.1.?', '3360.384.13.?', '5280.384.5.?', '6160.192.2.?', '7392.384.5.?', '12320.384.5.?', '18480.384.5.?', '36960.768.13.?'], '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': '14.798913617144169159168168854', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382475', 'prec': 100}, 'szpiro_ratio': 6.760426574214002, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 503651
    {'Ciso': '76230du', 'Clabel': '76230du6', 'Cnumber': 6, 'abc_quality': 1.05504045380176, 'absD': 167513756381081302500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 18480, 'ainvs': [1, -1, 1, -130734473, -575318536603], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 10485760, 'elladic_images': ['8.48.0.144'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1961096073488305099730165941', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': 33, '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.?', '88.96.0.?', '112.96.1.?', '132.24.0.?', '240.192.5.?', '264.192.1.?', '336.192.5.?', '560.192.5.?', '880.192.2.?', '1232.192.1.?', '1680.384.13.?', '2640.384.5.?', '3696.384.5.?', '6160.384.5.?', '18480.768.13.?'], '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': '7.3994568085720845795840844272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.020511259582294, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 503652
    {'Ciso': '76230du', 'Clabel': '76230du7', 'Cnumber': 7, 'abc_quality': 1.0554678196515268, 'absD': 6437889801996092491555350, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 36960, 'ainvs': [1, -1, 1, -129917723, -582862366303], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 20971520, 'elladic_images': ['16.48.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5426831976288031646816326549', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': 33, '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.?', '88.48.0.?', '132.12.0.?', '176.96.0.?', '224.96.1.?', '240.192.5.?', '264.96.0.?', '528.192.1.?', '672.192.5.?', '880.192.2.?', '1120.192.5.?', '2464.192.1.?', '2640.384.5.?', '3360.384.13.?', '7392.384.5.?', '12320.384.5.?', '36960.768.13.?'], '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': '3.6997284042860422897920422136', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382475', 'prec': 100}, 'szpiro_ratio': 6.02282866077522, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 503649
    {'Ciso': '76230du', 'Clabel': '76230du4', 'Cnumber': 4, 'abc_quality': 1.0358020223701003, 'absD': 155661691757543017200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 36960, 'ainvs': [1, -1, 1, -16411253, 25586497181], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 5242880, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8495360170688578552644005334', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': 33, '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.?', '132.12.0.?', '264.48.0.?', '352.96.0.?', '480.192.5.?', '528.96.0.?', '560.192.5.?', '672.192.5.?', '924.24.0.?', '1056.192.1.?', '1760.192.2.?', '1848.96.0.?', '2464.192.1.?', '2640.192.2.?', '3360.384.13.?', '3696.192.1.?', '5280.384.5.?', '7392.384.5.?', '12320.384.5.?', '18480.384.5.?', '36960.768.13.?'], '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': '3.6997284042860422897920422136', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 5.466706379164603, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 503648
    {'Ciso': '76230du', 'Clabel': '76230du3', 'Cnumber': 3, 'abc_quality': 1.0288195344460926, 'absD': 1569787387994306250000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 18480, 'ainvs': [1, -1, 1, -8221973, -8869741603], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 5242880, 'elladic_images': ['8.48.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8495360170688578552644005334', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': 33, '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.?', '88.96.0.?', '132.48.0.?', '168.192.5.?', '240.192.5.?', '264.192.1.?', '560.192.5.?', '616.192.1.?', '880.192.2.?', '1680.384.13.?', '1848.384.5.?', '2640.384.5.?', '6160.384.5.?', '18480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6997284042860422897920422136', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 5.282258635935477, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 503647
    {'Ciso': '76230du', 'Clabel': '76230du2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 66430839341734560000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 18480, 'ainvs': [1, -1, 1, -1165253, 284235581], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 2621440, 'elladic_images': ['8.48.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5029624267888852005557844727', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': 33, '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.?', '132.24.0.?', '176.96.0.?', '240.192.5.?', '264.96.0.?', '336.192.5.?', '528.192.1.?', '560.192.5.?', '880.192.2.?', '924.48.0.?', '1232.192.1.?', '1680.384.13.?', '1848.192.1.?', '2640.384.5.?', '3696.384.5.?', '6160.384.5.?', '18480.768.13.?'], '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': '1.8498642021430211448960211068', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006526', 'prec': 103}, 'szpiro_ratio': 4.760832562255161, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 503646
    {'Ciso': '76230du', 'Clabel': '76230du1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 1199738615272243200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 36960, 'ainvs': [1, -1, 1, 228667, 31657277], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 1310720, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1563888365089125458471684119', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': 33, '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.?', '132.12.0.?', '160.96.2.?', '240.96.2.?', '264.48.0.?', '352.96.0.?', '480.192.5.?', '528.96.0.?', '672.192.5.?', '880.96.0.?', '924.24.0.?', '1056.192.1.?', '1120.192.5.?', '1680.192.5.?', '1760.192.2.?', '1848.96.0.?', '2464.192.1.?', '2640.192.2.?', '3360.384.13.?', '3696.192.1.?', '5280.384.5.?', '6160.192.1.?', '7392.384.5.?', '12320.384.5.?', '18480.384.5.?', '36960.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92493210107151057244801055341', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400446', 'prec': 103}, 'szpiro_ratio': 4.326257929838239, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 503650
    {'Ciso': '76230du', 'Clabel': '76230du5', 'Cnumber': 5, 'abc_quality': 1.1083142308531486, 'absD': 347618026323852539062500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 36960, 'ainvs': [1, -1, 1, 1383007, -28360167019], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 10485760, 'elladic_images': ['16.48.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1961096073488305099730165941', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '76230.dr', 'lmfdb_label': '76230.dr8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': 33, '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.?', '88.48.0.?', '112.96.1.?', '132.24.0.?', '160.96.2.?', '168.96.1.?', '176.96.0.?', '264.96.0.?', '308.24.0.?', '336.192.5.?', '480.192.5.?', '528.192.1.?', '616.96.0.?', '924.48.0.?', '1120.192.5.?', '1232.192.1.?', '1760.192.2.?', '1848.192.1.?', '3360.384.13.?', '3696.384.5.?', '5280.384.5.?', '12320.384.5.?', '36960.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3994568085720845795840844272', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 5.484994632240017, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}