Elliptic curve isogeny class data - 1056.e

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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, -1, 0, 2, 0, -4, 0, 1, 0, 1, 0, -2, 0, -2, 0, 2, 0, -4, 0], 'aplist': [0, -1, 2, -4, 1, -2, 2, -4, 0, -6, -4, -2, -6, 4, 8, -6, -12, -10, -4, 0, 10, -12, -12, 10, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 1056, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1056.e', 'trace_hash': 264540468422695548}
• ec_padic •

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

  
  
  • id: 24266
    {'lmfdb_iso': '1056.e', 'p': 5, 'prec': 20, 'unit': 4858671672896, 'val': 1}
  • id: 24267
    {'lmfdb_iso': '1056.e', 'p': 7, 'prec': 20, 'unit': 1594770586906327, 'val': 2}
  • id: 24272
    {'lmfdb_iso': '1056.e', 'p': 13, 'prec': 20, 'unit': 790938371503873524184, 'val': 1}
  • id: 24274
    {'lmfdb_iso': '1056.e', 'p': 17, 'prec': 20, 'unit': 74148263887656724631503, 'val': 1}
  • id: 24275
    {'lmfdb_iso': '1056.e', 'p': 19, 'prec': 20, 'unit': 793899425302578009602116, 'val': 1}
  • id: 24271
    {'lmfdb_iso': '1056.e', 'p': 29, 'prec': 20, 'unit': 3392016414501392946186766966, 'val': 1}
  • id: 24268
    {'lmfdb_iso': '1056.e', 'p': 31, 'prec': 20, 'unit': 5248854807060682270370527172, 'val': 1}
  • id: 24282
    {'lmfdb_iso': '1056.e', 'p': 37, 'prec': 20, 'unit': 494105690178843607139000689148, 'val': 1}
  • id: 24269
    {'lmfdb_iso': '1056.e', 'p': 41, 'prec': 20, 'unit': 2542563180917928847604573811055, 'val': 1}
  • id: 24270
    {'lmfdb_iso': '1056.e', 'p': 43, 'prec': 20, 'unit': 8256713788724169411443607574700, 'val': 1}
  • id: 24280
    {'lmfdb_iso': '1056.e', 'p': 47, 'prec': 20, 'unit': 48730938650218224497663887145908, 'val': 1}
  • id: 24276
    {'lmfdb_iso': '1056.e', 'p': 53, 'prec': 20, 'unit': 180658897802940320806784713961274, 'val': 1}
  • id: 24277
    {'lmfdb_iso': '1056.e', 'p': 59, 'prec': 20, 'unit': 38102435473560486917763027707194, 'val': 1}
  • id: 24281
    {'lmfdb_iso': '1056.e', 'p': 61, 'prec': 20, 'unit': 6867551362653109456509336955194018, 'val': 1}
  • id: 24265
    {'lmfdb_iso': '1056.e', 'p': 67, 'prec': 20, 'unit': 48870415247783653135817748310206837, 'val': 1}
  • id: 24278
    {'lmfdb_iso': '1056.e', 'p': 73, 'prec': 20, 'unit': 248189747272199011906901038906558933, 'val': 1}
  • id: 24273
    {'lmfdb_iso': '1056.e', 'p': 79, 'prec': 20, 'unit': 176650261239013563572523346510694308, 'val': 1}
  • id: 24264
    {'lmfdb_iso': '1056.e', 'p': 83, 'prec': 20, 'unit': 100266871868844625702378636716823227, 'val': 1}
  • id: 24279
    {'lmfdb_iso': '1056.e', 'p': 89, 'prec': 20, 'unit': 2825556823775633513439084704385001721, 'val': 1}
  • id: 24263
    {'lmfdb_iso': '1056.e', 'p': 97, 'prec': 20, 'unit': 14137963407622181635974983791316342141, '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: 5463
    {'Ciso': '1056g', 'Clabel': '1056g2', 'Cnumber': 2, 'abc_quality': 1.0696710617503884, 'absD': 15054336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24, 'ainvs': [0, -1, 0, -313632, -67500540], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1056, 'degree': 3840, 'elladic_images': ['8.24.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4637792007369178953812439810', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [6663712298552914184, 29403], 'lmfdb_iso': '1056.e', 'lmfdb_label': '1056.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -313632, -67500540], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.m.1.5', '12.12.0-4.c.1.2', '24.48.0-24.bi.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.106517732007751754437210989', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 4, 352], [5, 2, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94391881531695891331831988991', 'prec': 103}, 'szpiro_ratio': 7.121487963593435, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 5464
    {'Ciso': '1056g', 'Clabel': '1056g3', 'Cnumber': 3, 'abc_quality': 1.0569983480202454, 'absD': 213357396307968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24, 'ainvs': [0, -1, 0, -20817, -911007], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1056, 'degree': 3840, 'elladic_images': ['8.24.0.53'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4637792007369178953812439810', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [243578556889408, 52089208083], 'lmfdb_iso': '1056.e', 'lmfdb_label': '1056.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20817, -911007], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.m.1.1', '12.24.0-12.h.1.2', '24.48.0-24.bk.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7766294330019379386093027473', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 352], [5, 2, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77063202017697258596401185954', 'prec': 103}, 'szpiro_ratio': 5.952711507636373, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 5462
    {'Ciso': '1056g', 'Clabel': '1056g1', 'Cnumber': 1, 'abc_quality': 1.0644414171732053, 'absD': 55330330176, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24, 'ainvs': [0, -1, 0, -19602, -1049760], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1056, 'degree': 1920, 'elladic_images': ['8.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1172056104569452406726279203', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [13015685560572352, 864536409], 'lmfdb_iso': '1056.e', 'lmfdb_label': '1056.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -19602, -1049760], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.b.1.2', '12.24.0-12.a.1.1', '24.48.0-24.f.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5532588660038758772186054945', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 352], [5, 2, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77063202017697258596401185957', 'prec': 103}, 'szpiro_ratio': 5.926798581774226, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 5465
    {'Ciso': '1056g', 'Clabel': '1056g4', 'Cnumber': 4, 'abc_quality': 1.04687998465007, 'absD': 216013267210752, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24, 'ainvs': [0, -1, 0, -18392, -1186248], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1056, 'degree': 3840, 'elladic_images': ['8.24.0.59'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4637792007369178953812439810', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1343891598641864, 421900912521], 'lmfdb_iso': '1056.e', 'lmfdb_label': '1056.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -18392, -1186248], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.d.1.1', '24.48.0-24.n.1.7'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.106517732007751754437210989', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 352], [5, 2, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94391881531695891331831988991', 'prec': 103}, 'szpiro_ratio': 5.961593755512912, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}