Elliptic curve isogeny class data - 8112.s

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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, 4, 0, 0, 0, -2, 0, 2, 0, 0, 0], 'aplist': [0, 1, -2, -4, 4, 0, 2, 0, 0, -10, 4, 2, -6, 12, 0, 6, 12, -2, -8, 0, -2, -8, 4, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 8112, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '8112.s', 'trace_hash': 1469919797842155262}
• ec_padic •

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

  
  
  • id: 334127
    {'lmfdb_iso': '8112.s', 'p': 5, 'prec': 20, 'unit': 319422131027, 'val': 2}
  • id: 334128
    {'lmfdb_iso': '8112.s', 'p': 7, 'prec': 20, 'unit': 6406868211147924, 'val': 1}
  • id: 334126
    {'lmfdb_iso': '8112.s', 'p': 11, 'prec': 20, 'unit': 23887148403232309336, 'val': 1}
  • id: 334134
    {'lmfdb_iso': '8112.s', 'p': 17, 'prec': 20, 'unit': 10682200070196530382074, 'val': 1}
  • id: 334132
    {'lmfdb_iso': '8112.s', 'p': 29, 'prec': 20, 'unit': 5986246903292905179004245414, 'val': 1}
  • id: 334129
    {'lmfdb_iso': '8112.s', 'p': 31, 'prec': 20, 'unit': 5703064087500435605250844587, 'val': 1}
  • id: 334141
    {'lmfdb_iso': '8112.s', 'p': 37, 'prec': 20, 'unit': 279022148399896299690121669159, 'val': 1}
  • id: 334130
    {'lmfdb_iso': '8112.s', 'p': 41, 'prec': 20, 'unit': 1510664169606693474541459758796, 'val': 1}
  • id: 334131
    {'lmfdb_iso': '8112.s', 'p': 43, 'prec': 20, 'unit': 4820961964346576709441556732869, 'val': 1}
  • id: 334136
    {'lmfdb_iso': '8112.s', 'p': 53, 'prec': 20, 'unit': 238281616388422452922918347682761, 'val': 1}
  • id: 334139
    {'lmfdb_iso': '8112.s', 'p': 59, 'prec': 20, 'unit': 3614684261434723310146110943907346, 'val': 1}
  • id: 334140
    {'lmfdb_iso': '8112.s', 'p': 61, 'prec': 20, 'unit': 5342613255583079512306512317829801, 'val': 1}
  • id: 334125
    {'lmfdb_iso': '8112.s', 'p': 67, 'prec': 20, 'unit': 7610438867904876179707590113712949, 'val': 1}
  • id: 334137
    {'lmfdb_iso': '8112.s', 'p': 73, 'prec': 20, 'unit': 28522754743700932052579447382616246, 'val': 1}
  • id: 334133
    {'lmfdb_iso': '8112.s', 'p': 79, 'prec': 20, 'unit': 635780300400630607738830038400671684, 'val': 1}
  • id: 334135
    {'lmfdb_iso': '8112.s', 'p': 83, 'prec': 20, 'unit': 2394919048132838648526562007955248380, 'val': 1}
  • id: 334138
    {'lmfdb_iso': '8112.s', 'p': 89, 'prec': 20, 'unit': 10088760458512728851874720501374157010, 'val': 1}
  • id: 334124
    {'lmfdb_iso': '8112.s', 'p': 97, 'prec': 20, 'unit': 49655826352944281181207995832937690444, '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: 52143
    {'Ciso': '8112bh', 'Clabel': '8112bh4', 'Cnumber': 4, 'abc_quality': 1.1161605159157866, 'absD': 20818451976192, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, -187984, 31307732], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 43008, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6572553971623262244951988251', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [37159393753, 1053], 'lmfdb_iso': '8112.s', 'lmfdb_label': '8112.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -69, -252], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.ba.1.9', '26.6.0.b.1', '52.24.0-52.g.1.2', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6113331236743647989109813196', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701714', 'prec': 107}, 'szpiro_ratio': 5.337786071835481, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 52142
    {'Ciso': '8112bh', 'Clabel': '8112bh3', 'Cnumber': 3, 'abc_quality': 0.9608618677341092, 'absD': 1694005147840512, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, -52784, -4244460], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 43008, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6572553971623262244951988251', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [822656953, 85683], 'lmfdb_iso': '8112.s', 'lmfdb_label': '8112.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 22], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0.h.1', '24.24.0-12.h.1.6', '52.12.0-4.c.1.1', '104.24.0.?', '156.24.0.?', '312.48.0.?'], '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': '6.4453324946974591956439252785', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701714', 'prec': 107}, 'szpiro_ratio': 4.914456400395019, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 52141
    {'Ciso': '8112bh', 'Clabel': '8112bh2', 'Cnumber': 2, 'abc_quality': 0.9140273049268122, 'absD': 30071097298944, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 156, 'ainvs': [0, 1, 0, -12224, 444276], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 21504, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3106818068823535697865827643', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [10218313, 1521], 'lmfdb_iso': '8112.s', 'lmfdb_label': '8112.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4, -5], 'min_quad_twist_disc': -52, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.3', '52.24.0-52.b.1.1', '156.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2226662473487295978219626393', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66494005240836010765739307794', 'prec': 107}, 'szpiro_ratio': 4.426920663678274, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 52140
    {'Ciso': '8112bh', 'Clabel': '8112bh1', 'Cnumber': 1, 'abc_quality': 0.8584360026236014, 'absD': 771053776896, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, 1296, 38676], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 10752, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96410821660238091507796670361', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [12167, 39], 'lmfdb_iso': '8112.s', 'lmfdb_label': '8112.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1, 0], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.ba.1.1', '78.6.0.?', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6113331236743647989109813196', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0115136426883327623660091386', 'prec': 103}, 'szpiro_ratio': 3.8469336408313395, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}