Elliptic curve isogeny class data - 80080.t

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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, 0, 0, 0, -1, 0, 1, 0, -3, 0, 1, 0, -1, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, -1, 1, 1, -1, -6, -4, 0, 6, -4, -6, 2, -8, -8, -6, -4, -2, -4, -12, -10, 0, -12, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 80080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '80080.t', 'trace_hash': 926382896951347515}
• ec_padic •

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

  
  
  • id: 4126585
    {'lmfdb_iso': '80080.t', 'p': 17, 'prec': 20, 'unit': 205594505160573936952836, 'val': 2}
  • id: 4126576
    {'lmfdb_iso': '80080.t', 'p': 19, 'prec': 20, 'unit': 457437868600380074852636, 'val': 2}
  • id: 4126583
    {'lmfdb_iso': '80080.t', 'p': 29, 'prec': 20, 'unit': 907156042061080717024193248, 'val': 2}
  • id: 4126592
    {'lmfdb_iso': '80080.t', 'p': 31, 'prec': 20, 'unit': 157559628709065755674035648, 'val': 2}
  • id: 4126579
    {'lmfdb_iso': '80080.t', 'p': 37, 'prec': 20, 'unit': 241036050772142943749009983045, 'val': 2}
  • id: 4126581
    {'lmfdb_iso': '80080.t', 'p': 41, 'prec': 20, 'unit': 4091838657301282734174616276797, 'val': 2}
  • id: 4126582
    {'lmfdb_iso': '80080.t', 'p': 43, 'prec': 20, 'unit': 4276576656707379326821642396310, 'val': 2}
  • id: 4126584
    {'lmfdb_iso': '80080.t', 'p': 47, 'prec': 20, 'unit': 37251172843933841159875350334454, 'val': 2}
  • id: 4126587
    {'lmfdb_iso': '80080.t', 'p': 53, 'prec': 20, 'unit': 402674765303508163616549824402470, 'val': 2}
  • id: 4126590
    {'lmfdb_iso': '80080.t', 'p': 59, 'prec': 20, 'unit': 2782702865505218417591905509098331, 'val': 2}
  • id: 4126591
    {'lmfdb_iso': '80080.t', 'p': 61, 'prec': 20, 'unit': 6823626172404450332009868258843711, 'val': 2}
  • id: 4126578
    {'lmfdb_iso': '80080.t', 'p': 67, 'prec': 20, 'unit': 18318150731639445882101250980541141, 'val': 2}
  • id: 4126580
    {'lmfdb_iso': '80080.t', 'p': 71, 'prec': 20, 'unit': 1009945147291355273686990461361652, 'val': 3}
  • id: 4126588
    {'lmfdb_iso': '80080.t', 'p': 73, 'prec': 20, 'unit': 217635322706959959941071951209882781, 'val': 2}
  • id: 4126586
    {'lmfdb_iso': '80080.t', 'p': 83, 'prec': 20, 'unit': 2089423053111441607245326177924777188, 'val': 2}
  • id: 4126589
    {'lmfdb_iso': '80080.t', 'p': 89, 'prec': 20, 'unit': 1371515123184515125071045564436144247, 'val': 2}
  • id: 4126577
    {'lmfdb_iso': '80080.t', 'p': 97, 'prec': 20, 'unit': 47874858705056616517352938475694221845, 'val': 2}
• 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: 528252
    {'Ciso': '80080bd', 'Clabel': '80080bd4', 'Cnumber': 4, 'abc_quality': 1.0130338205733735, 'absD': 394634240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -13154483, 18363640818], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 1376256, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3824397418937884526407297931', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [61458947171027474307849, 96346250], 'lmfdb_iso': '80080.t', 'lmfdb_label': '80080.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -822155, -286726349], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '40.24.0-40.y.1.14', '52.12.0-4.c.1.2', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.9648239282453943527198192294', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6892925613338431432234976716', 'prec': 100}, 'szpiro_ratio': 5.384075762065465, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 528250
    {'Ciso': '80080bd', 'Clabel': '80080bd2', 'Cnumber': 2, 'abc_quality': 0.9818915459661465, 'absD': 2433377865318400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -822163, 286926162], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 688128, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0358661516138157979321137324', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [15005053520986088169, 594086392900], 'lmfdb_iso': '80080.t', 'lmfdb_label': '80080.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -51385, -4470375], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0-2.a.1.1', '40.24.0-40.b.1.2', '52.12.0-2.a.1.1', '104.24.0.?', '260.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 27, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.4912059820613485881799548073', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3427189710538704885148816109', 'prec': 100}, 'szpiro_ratio': 4.647391793570822, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 528251
    {'Ciso': '80080bd', 'Clabel': '80080bd3', 'Cnumber': 3, 'abc_quality': 0.9600449066666907, 'absD': 12287709020643696640, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -782963, 315518642], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 1376256, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3824397418937884526407297931', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [-12959477208091719369, 2999928960118090], 'lmfdb_iso': '80080.t', 'lmfdb_label': '80080.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -48935, -4917745], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '20.12.0-4.c.1.2', '40.24.0-40.s.1.2', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.4912059820613485881799548073', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6892925613338431432234976716', 'prec': 100}, 'szpiro_ratio': 4.664212356736122, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 528249
    {'Ciso': '80080bd', 'Clabel': '80080bd1', 'Cnumber': 1, 'abc_quality': 0.9149327611727184, 'absD': 2971412716912640, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -53843, 4030738], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 344064, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6892925613338431432234976717', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [4214552938238889, 725442557840], 'lmfdb_iso': '80080.t', 'lmfdb_label': '80080.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3365, -62139], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '20.12.0-4.c.1.1', '40.24.0-40.y.1.1', '52.12.0-4.c.1.1', '104.24.0.?', '130.6.0.?', '260.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.4912059820613485881799548073', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 65], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99614538077389783380626555024', 'prec': 103}, 'szpiro_ratio': 3.9231196193474203, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}