Elliptic curve isogeny class data - 47040.ew

Formats: - HTML - YAML - JSON - 2025-11-04T23:31:32.380849

• 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, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, 6, 0, -4, 0], 'aplist': [0, 1, -1, 0, 0, 2, 6, -4, 0, 6, 4, -2, -6, -8, 12, -6, -12, 2, -8, 0, -14, -16, 12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 47040, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '47040.ew', 'trace_hash': 1470879446655101797}
• ec_padic •

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

  
  
  • id: 2358520
    {'lmfdb_iso': '47040.ew', 'p': 13, 'prec': 20, 'unit': 897855354536714647235, 'val': 1}
  • id: 2358522
    {'lmfdb_iso': '47040.ew', 'p': 17, 'prec': 20, 'unit': 119614237289547206905024, 'val': 1}
  • id: 2358523
    {'lmfdb_iso': '47040.ew', 'p': 19, 'prec': 20, 'unit': 1966540149614158570607331, 'val': 1}
  • id: 2358519
    {'lmfdb_iso': '47040.ew', 'p': 29, 'prec': 20, 'unit': 1605157814790220257588052073, 'val': 1}
  • id: 2358530
    {'lmfdb_iso': '47040.ew', 'p': 31, 'prec': 20, 'unit': 5793594169754319299632784373, 'val': 1}
  • id: 2358516
    {'lmfdb_iso': '47040.ew', 'p': 37, 'prec': 20, 'unit': 543789303815119475173683621676, 'val': 1}
  • id: 2358517
    {'lmfdb_iso': '47040.ew', 'p': 41, 'prec': 20, 'unit': 3866672920215202257871559689563, 'val': 1}
  • id: 2358518
    {'lmfdb_iso': '47040.ew', 'p': 43, 'prec': 20, 'unit': 1394816604062585550072775819936, 'val': 1}
  • id: 2358528
    {'lmfdb_iso': '47040.ew', 'p': 47, 'prec': 20, 'unit': 41405947398530586018198532137792, 'val': 1}
  • id: 2358524
    {'lmfdb_iso': '47040.ew', 'p': 53, 'prec': 20, 'unit': 149079840824196390011533323546070, 'val': 1}
  • id: 2358525
    {'lmfdb_iso': '47040.ew', 'p': 59, 'prec': 20, 'unit': 3886865258184999615712710341752000, 'val': 1}
  • id: 2358529
    {'lmfdb_iso': '47040.ew', 'p': 61, 'prec': 20, 'unit': 1390310294680552729854336728875181, 'val': 1}
  • id: 2358515
    {'lmfdb_iso': '47040.ew', 'p': 67, 'prec': 20, 'unit': 47086102148623802431464799635136162, 'val': 1}
  • id: 2358526
    {'lmfdb_iso': '47040.ew', 'p': 73, 'prec': 20, 'unit': 164234693815868909960840965473781902, 'val': 1}
  • id: 2358521
    {'lmfdb_iso': '47040.ew', 'p': 79, 'prec': 20, 'unit': 612655387283306128906540382247607140, 'val': 1}
  • id: 2358514
    {'lmfdb_iso': '47040.ew', 'p': 83, 'prec': 20, 'unit': 976741637576671939012147679637349936, 'val': 1}
  • id: 2358527
    {'lmfdb_iso': '47040.ew', 'p': 89, 'prec': 20, 'unit': 5093548787807873729390974840418502259, 'val': 1}
  • id: 2358513
    {'lmfdb_iso': '47040.ew', 'p': 97, 'prec': 20, 'unit': 47695764528661772641239555927276260227, '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: 312846
    {'Ciso': '47040cf', 'Clabel': '47040cf8', 'Cnumber': 8, 'abc_quality': 1.0394034516317685, 'absD': 320159140657977556992000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -20230401, -22041034401], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 5308416, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2117018584034993755044671546', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [29689921233686449, 10380965400750], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6451, 124931], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.2', '12.24.0.g.1', '24.96.0-24.bu.4.17', '28.12.0-4.c.1.2', '56.24.0-56.bb.1.1', '60.48.0.c.4', '84.48.0.?', '120.192.1.?', '168.192.1.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '25.125819955675015890506395830', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 735], [3, 4, 3136], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1990260130359247588259426007', 'prec': 100}, 'szpiro_ratio': 5.770342605085653, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312843
    {'Ciso': '47040cf', 'Clabel': '47040cf5', 'Cnumber': 5, 'abc_quality': 1.0250305664622372, 'absD': 79973127007764480, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -18066561, -29563087905], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 1769472, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6623957140694445298068445361', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [21145699168383889, 2593080], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5761, 167825], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.2', '12.24.0.g.1', '24.96.0-24.bu.3.9', '28.12.0-4.c.1.2', '56.24.0-56.bb.1.1', '60.48.0.c.3', '84.48.0.?', '120.192.1.?', '168.192.1.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3752733185583386301687986099', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 735], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64971986870186991312831998219', 'prec': 103}, 'szpiro_ratio': 5.738798886065756, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312844
    {'Ciso': '47040cf', 'Clabel': '47040cf6', 'Cnumber': 6, 'abc_quality': 1.016290927006418, 'absD': 2040980845510656000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -8470401, 9233509599], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 2654208, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8651282681235267207958510939', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2179252305146449, 66177562500], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2701, -52819], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '12.48.0-6.a.1.8', '24.96.0-24.o.2.2', '28.12.0-2.a.1.1', '56.24.0-56.a.1.3', '60.96.0-60.a.2.31', '84.96.0.?', '120.192.1.?', '168.192.1.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.562909977837507945253197915', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 3136], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85245242275595210411732653999', 'prec': 103}, 'szpiro_ratio': 5.527579744398362, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 312841
    {'Ciso': '47040cf', 'Clabel': '47040cf3', 'Cnumber': 3, 'abc_quality': 1.0154047869543323, 'absD': 63470735720448000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -8407681, 9380638175], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 1327104, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5185546778435540660872350331', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2131200347946769, 2058000], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2681, -53655], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.4', '12.24.0.g.1', '24.96.0-24.bs.2.10', '56.24.0-56.bb.1.14', '60.48.0.c.2', '84.48.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.96.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2814549889187539726265989574', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 4, 3136], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50587883247597944940871047919', 'prec': 103}, 'szpiro_ratio': 5.525507341319216, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312840
    {'Ciso': '47040cf', 'Clabel': '47040cf2', 'Cnumber': 2, 'abc_quality': 1.0709743427632117, 'absD': 1762673003436441600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -1132161, -459628065], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 884736, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3158221237894718750982284754', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5203798902289, 57153600], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -361, 2585], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '12.48.0-6.a.1.3', '24.96.0-24.o.1.18', '28.12.0-2.a.1.1', '56.24.0-56.a.1.3', '60.96.0-60.a.1.31', '84.96.0.?', '120.192.1.?', '168.192.1.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1876366592791693150843993049', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30314627842189725841970392149', 'prec': 103}, 'szpiro_ratio': 4.966422900872451, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 312842
    {'Ciso': '47040cf', 'Clabel': '47040cf4', 'Cnumber': 4, 'abc_quality': 1.1620070102954823, 'absD': 573655633707663360000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -254081, -1153486881], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 1769472, 'elladic_images': ['8.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6623957140694445298068445361', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-58818484369, 18600435000], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -81, 6561], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.24.0-6.a.1.1', '8.12.0-4.c.1.3', '12.48.0-12.g.1.2', '24.96.0-24.bu.1.3', '28.12.0-4.c.1.1', '56.24.0-56.v.1.2', '84.96.0.?', '120.192.1.?', '168.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0938183296395846575421996525', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64971986870186991312831998219', 'prec': 103}, 'szpiro_ratio': 5.135828122145691, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312839
    {'Ciso': '47040cf', 'Clabel': '47040cf1', 'Cnumber': 1, 'abc_quality': 0.9780810097967987, 'absD': 119376795999928320, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -128641, 6205919], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 442368, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9692485335094992203896124147', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [7633736209, 3870720], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41, -39], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.4', '12.24.0.g.1', '24.96.0-24.bs.1.21', '56.24.0-56.bb.1.14', '60.48.0.c.1', '84.48.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.96.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0938183296395846575421996525', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.043427311858075396288912139210', 'prec': 110}, 'szpiro_ratio': 4.35998027283679, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312845
    {'Ciso': '47040cf', 'Clabel': '47040cf7', 'Cnumber': 7, 'abc_quality': 1.0876511700840974, 'absD': 418386197376000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, 2286079, 31092828255], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 5308416, 'elladic_images': ['8.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2117018584034993755044671546', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 126, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [42841933504271, 13565917968750], 'lmfdb_iso': '47040.ew', 'lmfdb_label': '47040.ew8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 729, -176985], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.24.0-6.a.1.3', '8.12.0-4.c.1.3', '12.48.0-12.g.1.6', '24.96.0-24.bu.2.5', '28.12.0-4.c.1.1', '56.24.0-56.v.1.2', '84.96.0.?', '120.192.1.?', '168.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2814549889187539726265989574', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 4, 3136], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1990260130359247588259426007', 'prec': 100}, 'szpiro_ratio': 5.748210710447733, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}