Elliptic curve isogeny class data - 75810.l

Formats: - HTML - YAML - JSON - 2025-10-14T15:23:19.956032

• 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, 0, -1, -2, -1, 1, 1, -6, -1, 0, -1], 'aplist': [-1, -1, -1, 1, 0, -2, -6, 0, 0, 6, 4, -2, -6, 8, -12, -6, 12, 2, -8, 0, 14, 16, 12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 75810, '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': '75810.l', 'trace_hash': 1914018885338562391}
• ec_padic •

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

  
  
  • id: 3901265
    {'lmfdb_iso': '75810.l', 'p': 13, 'prec': 20, 'unit': 349926741449955259517, 'val': 1}
  • id: 3901267
    {'lmfdb_iso': '75810.l', 'p': 17, 'prec': 20, 'unit': 124160537716710898424462, 'val': 1}
  • id: 3901264
    {'lmfdb_iso': '75810.l', 'p': 29, 'prec': 20, 'unit': 4954780731188143650737586929, 'val': 1}
  • id: 3901275
    {'lmfdb_iso': '75810.l', 'p': 31, 'prec': 20, 'unit': 13461116334369711284525214957, 'val': 1}
  • id: 3901261
    {'lmfdb_iso': '75810.l', 'p': 37, 'prec': 20, 'unit': 232365534034127921642189015269, 'val': 1}
  • id: 3901262
    {'lmfdb_iso': '75810.l', 'p': 41, 'prec': 20, 'unit': 2476151314923909026633587985864, 'val': 1}
  • id: 3901263
    {'lmfdb_iso': '75810.l', 'p': 43, 'prec': 20, 'unit': 6227195095894501165488606261801, 'val': 1}
  • id: 3901273
    {'lmfdb_iso': '75810.l', 'p': 47, 'prec': 20, 'unit': 20109875672130546180490249400679, 'val': 1}
  • id: 3901269
    {'lmfdb_iso': '75810.l', 'p': 53, 'prec': 20, 'unit': 58851921046675663672244420758592, 'val': 1}
  • id: 3901270
    {'lmfdb_iso': '75810.l', 'p': 59, 'prec': 20, 'unit': 1200546431137766207924500346141906, 'val': 1}
  • id: 3901274
    {'lmfdb_iso': '75810.l', 'p': 61, 'prec': 20, 'unit': 2549552388537156308000848875066152, 'val': 1}
  • id: 3901260
    {'lmfdb_iso': '75810.l', 'p': 67, 'prec': 20, 'unit': 5507265116293193736667588167630263, 'val': 1}
  • id: 3901271
    {'lmfdb_iso': '75810.l', 'p': 73, 'prec': 20, 'unit': 232613860380246895974479421653144001, 'val': 1}
  • id: 3901266
    {'lmfdb_iso': '75810.l', 'p': 79, 'prec': 20, 'unit': 1005016806356889723291950063812113985, 'val': 1}
  • id: 3901268
    {'lmfdb_iso': '75810.l', 'p': 83, 'prec': 20, 'unit': 58803560262406182041415088251131571, 'val': 1}
  • id: 3901272
    {'lmfdb_iso': '75810.l', 'p': 89, 'prec': 20, 'unit': 5735648774601874846216668311851559744, 'val': 1}
  • id: 3901259
    {'lmfdb_iso': '75810.l', 'p': 97, 'prec': 20, 'unit': 50463483304231517612900264600617177040, '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: 500644
    {'Ciso': '75810l', 'Clabel': '75810l8', 'Cnumber': 8, 'abc_quality': 1.0394034516317685, 'absD': 488381662908801810750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -2328818, -861559362], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 3981312, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6712455026191449888304563166', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [29689921233686449, 10380965400750], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6451, 124931], 'min_quad_twist_disc': -19, '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', '12.24.0.g.1', '24.48.0.bu.4', '56.12.0.bb.1', '57.8.0-3.a.1.2', '60.48.0.c.4', '114.24.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '228.48.0.?', '456.96.0.?', '840.192.5.?', '1064.24.0.?', '1140.96.0.?', '2280.192.1.?', '3192.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0922103264089371800285035347', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5415], [3, 4, 722], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1990260130359247588259426007', 'prec': 100}, 'szpiro_ratio': 4.948049991689934, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 500641
    {'Ciso': '75810l', 'Clabel': '75810l5', 'Cnumber': 5, 'abc_quality': 1.0250305664622372, 'absD': 121993733103480, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -2079728, -1155271128], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 1327104, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1219393582850901431328336982', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [21145699168383889, 2593080], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5761, 167825], 'min_quad_twist_disc': -19, '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', '12.24.0.g.1', '24.48.0.bu.3', '56.12.0.bb.1', '57.8.0-3.a.1.1', '60.48.0.c.3', '114.24.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '228.48.0.?', '456.96.0.?', '840.192.5.?', '1064.24.0.?', '1140.96.0.?', '2280.192.1.?', '3192.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2766309792268115400855106042', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5415], [3, 4, 12635], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64971986870186991312831998226', 'prec': 103}, 'szpiro_ratio': 4.917846045596936, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 500642
    {'Ciso': '75810l', 'Clabel': '75810l6', 'Cnumber': 6, 'abc_quality': 1.016290927006418, 'absD': 3113381730245062500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -975068, 360335388], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 1990656, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3246719123391723341218402559', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2179252305146449, 66177562500], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2701, -52819], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '24.48.0.o.2', '56.12.0.a.1', '57.8.0-3.a.1.2', '60.48.0.a.2', '84.48.0.?', '114.48.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '420.96.1.?', '456.96.0.?', '532.12.0.?', '840.192.5.?', '1064.24.0.?', '1140.96.0.?', '1596.96.0.?', '2280.192.1.?', '3192.192.1.?', '7980.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0461051632044685900142517674', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 361], [3, 4, 722], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85245242275595210411732653996', 'prec': 103}, 'szpiro_ratio': 4.715598125346727, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 500639
    {'Ciso': '75810l', 'Clabel': '75810l3', 'Cnumber': 3, 'abc_quality': 1.0154047869543323, 'absD': 96820423098000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -967848, 366083952], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 995328, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9780983220591996794132241952', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2131200347946769, 2058000], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2681, -53655], 'min_quad_twist_disc': -19, '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', '12.24.0.g.1', '24.48.0.bs.2', '56.12.0.bb.1', '57.8.0-3.a.1.2', '60.48.0.c.2', '84.48.0.?', '114.24.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '210.24.0.?', '228.48.0.?', '420.96.1.?', '456.96.0.?', '532.12.0.?', '840.192.5.?', '1064.24.0.?', '1140.96.0.?', '1596.96.0.?', '2280.192.1.?', '3192.192.1.?', '3990.48.0.?', '7980.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0922103264089371800285035347', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 37905], [3, 4, 722], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50587883247597944940871047926', 'prec': 103}, 'szpiro_ratio': 4.713613744530819, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 500638
    {'Ciso': '75810l', 'Clabel': '75810l2', 'Cnumber': 2, 'abc_quality': 1.0709743427632117, 'absD': 2688841464321600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -130328, -17991168], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 663552, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7753657680051174884242176374', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5203798902289, 57153600], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -361, 2585], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '24.48.0.o.1', '56.12.0.a.1', '57.8.0-3.a.1.1', '60.48.0.a.1', '84.48.0.?', '114.48.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '420.96.1.?', '456.96.0.?', '532.12.0.?', '840.192.5.?', '1064.24.0.?', '1140.96.0.?', '1596.96.0.?', '2280.192.1.?', '3192.192.1.?', '7980.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1383154896134057700427553021', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 361], [3, 4, 12635], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30314627842189725841970392146', 'prec': 103}, 'szpiro_ratio': 4.17827559083892, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 500640
    {'Ciso': '75810l', 'Clabel': '75810l4', 'Cnumber': 4, 'abc_quality': 1.1620070102954823, 'absD': 875073851558235000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -29248, -45060392], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 1327104, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1219393582850901431328336982', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-58818484369, 18600435000], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -81, 6561], 'min_quad_twist_disc': -19, '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', '12.24.0.g.1', '24.48.0.bu.1', '56.12.0.v.1', '57.8.0-3.a.1.1', '84.48.0.?', '114.24.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '228.48.0.?', '456.96.0.?', '532.12.0.?', '840.192.5.?', '1064.24.0.?', '1596.96.0.?', '2280.192.1.?', '3192.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2766309792268115400855106042', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2527], [3, 4, 12635], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64971986870186991312831998226', 'prec': 103}, 'szpiro_ratio': 4.34048557527296, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 500637
    {'Ciso': '75810l', 'Clabel': '75810l1', 'Cnumber': 1, 'abc_quality': 0.9780810097967987, 'absD': 182101432504320, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -14808, 237888], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 331776, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4287921777251448337156015767', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [7633736209, 3870720], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41, -39], 'min_quad_twist_disc': -19, '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', '12.24.0.g.1', '24.48.0.bs.1', '56.12.0.bb.1', '57.8.0-3.a.1.1', '60.48.0.c.1', '84.48.0.?', '114.24.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '210.24.0.?', '228.48.0.?', '420.96.1.?', '456.96.0.?', '532.12.0.?', '840.192.5.?', '1064.24.0.?', '1140.96.0.?', '1596.96.0.?', '2280.192.1.?', '3192.192.1.?', '3990.48.0.?', '7980.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2766309792268115400855106042', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 37905], [3, 4, 12635], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.043427311858075396288912139244', 'prec': 110}, 'szpiro_ratio': 3.5975907187053937, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 500643
    {'Ciso': '75810l', 'Clabel': '75810l7', 'Cnumber': 7, 'abc_quality': 1.0876511700840974, 'absD': 638220562413574218750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 15960, 'ainvs': [1, 1, 0, 263162, 1214466442], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 75810, 'degree': 3981312, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6712455026191449888304563166', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [42841933504271, 13565917968750], 'lmfdb_iso': '75810.l', 'lmfdb_label': '75810.l8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 729, -176985], 'min_quad_twist_disc': -19, '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', '12.24.0.g.1', '24.48.0.bu.2', '56.12.0.v.1', '57.8.0-3.a.1.2', '84.48.0.?', '114.24.0.?', '120.96.1.?', '152.12.0.?', '168.96.1.?', '228.48.0.?', '456.96.0.?', '532.12.0.?', '840.192.5.?', '1064.24.0.?', '1596.96.0.?', '2280.192.1.?', '3192.192.1.?', '15960.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0922103264089371800285035347', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2527], [3, 4, 722], [5, 6, 15162], [7, 8, 10830], [19, 182, 210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1990260130359247588259426007', 'prec': 100}, 'szpiro_ratio': 4.926858116624157, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}