Elliptic curve isogeny class data - 336.a

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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, 1, 0, 1, 0, -4, 0, -2, 0, 2, 0, -6, 0, -4, 0], 'aplist': [0, -1, -2, 1, -4, -2, -6, -4, 0, -2, 0, 6, 2, 4, 0, 6, -12, -2, -4, 0, -6, 16, 12, -14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 336, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '336.a', 'trace_hash': 2299192538271944600}
• ec_padic •

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

  
  
  • id: 3891
    {'lmfdb_iso': '336.a', 'p': 5, 'prec': 20, 'unit': 10125968997116, 'val': 1}
  • id: 3897
    {'lmfdb_iso': '336.a', 'p': 11, 'prec': 20, 'unit': 21226206564202725350, 'val': 1}
  • id: 3895
    {'lmfdb_iso': '336.a', 'p': 13, 'prec': 20, 'unit': 1236198034160611558019, 'val': 1}
  • id: 3898
    {'lmfdb_iso': '336.a', 'p': 17, 'prec': 20, 'unit': 212962455240718112371409, 'val': 1}
  • id: 3899
    {'lmfdb_iso': '336.a', 'p': 19, 'prec': 20, 'unit': 777992468787872713692079, 'val': 1}
  • id: 3894
    {'lmfdb_iso': '336.a', 'p': 29, 'prec': 20, 'unit': 254026197314387120199688955, 'val': 1}
  • id: 3905
    {'lmfdb_iso': '336.a', 'p': 37, 'prec': 20, 'unit': 331324926510039729197284999768, 'val': 1}
  • id: 3892
    {'lmfdb_iso': '336.a', 'p': 41, 'prec': 20, 'unit': 3767987605840882752543080851563, 'val': 1}
  • id: 3893
    {'lmfdb_iso': '336.a', 'p': 43, 'prec': 20, 'unit': 8955429227610706923098306876097, 'val': 1}
  • id: 3900
    {'lmfdb_iso': '336.a', 'p': 53, 'prec': 20, 'unit': 20974431377762072907596944827398, 'val': 1}
  • id: 3903
    {'lmfdb_iso': '336.a', 'p': 59, 'prec': 20, 'unit': 3247791728432655415918868997077267, 'val': 1}
  • id: 3904
    {'lmfdb_iso': '336.a', 'p': 61, 'prec': 20, 'unit': 3847424090267720492571203796545707, 'val': 1}
  • id: 3890
    {'lmfdb_iso': '336.a', 'p': 67, 'prec': 20, 'unit': 48135579582249312010850125103182339, 'val': 1}
  • id: 3901
    {'lmfdb_iso': '336.a', 'p': 73, 'prec': 20, 'unit': 195663707343103204803485600536963077, 'val': 1}
  • id: 3896
    {'lmfdb_iso': '336.a', 'p': 79, 'prec': 20, 'unit': 437502367262140672791516721101593857, 'val': 1}
  • id: 3889
    {'lmfdb_iso': '336.a', 'p': 83, 'prec': 20, 'unit': 1396232222471688582944534871736624357, 'val': 1}
  • id: 3902
    {'lmfdb_iso': '336.a', 'p': 89, 'prec': 20, 'unit': 7376982730014980543952031092396948175, 'val': 1}
  • id: 3888
    {'lmfdb_iso': '336.a', 'p': 97, 'prec': 20, 'unit': 30881964577877913033495220423471655243, '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: 1366
    {'Ciso': '336e', 'Clabel': '336e5', 'Cnumber': 5, 'abc_quality': 1.0508747826837916, 'absD': 602112, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, -1, 0, -12544, 544960], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 336, 'degree': 256, 'elladic_images': ['16.48.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76735256395088508017549797613', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53297461115137, 147], 'lmfdb_iso': '336.a', 'lmfdb_label': '336.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -784, -8515], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '12.24.0-12.h.1.2', '16.48.0-16.e.2.7', '24.48.0-24.bl.1.5', '48.96.0-48.y.1.6', '56.48.0-56.bu.1.3', '112.96.0.?', '168.96.0.?', '336.192.1.?'], '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': '2.9851968347780548356377504145', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 112], [7, 8, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854672', 'prec': 107}, 'szpiro_ratio': 6.863316667147092, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 1365
    {'Ciso': '336e', 'Clabel': '336e4', 'Cnumber': 4, 'abc_quality': 1.0814902740568197, 'absD': 88510464, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [0, -1, 0, -784, 8704], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 336, 'degree': 128, 'elladic_images': ['8.48.0.25'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42077897367091242546688191540', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [13027640977, 21609], 'lmfdb_iso': '336.a', 'lmfdb_label': '336.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49, -136], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.e.1.9', '12.48.0-12.c.1.1', '24.96.0-24.j.2.3', '56.96.0-56.u.1.6', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4925984173890274178188752073', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 112], [7, 8, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'szpiro_ratio': 5.433642999715578, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 1364
    {'Ciso': '336e', 'Clabel': '336e3', 'Cnumber': 3, 'abc_quality': 1.0015974661127929, 'absD': 188116992, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, -1, 0, -624, -5760], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 336, 'degree': 128, 'elladic_images': ['8.48.0.176'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42077897367091242546688191540', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '336.a', 'lmfdb_label': '336.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.1.3', '28.24.0-28.h.1.1', '48.96.0-48.bf.1.7', '56.96.0-56.bl.2.1', '336.192.1.?'], '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': '1.4925984173890274178188752073', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7], [3, 4, 112], [7, 8, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'szpiro_ratio': 5.315981665759884, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1367
    {'Ciso': '336e', 'Clabel': '336e6', 'Cnumber': 6, 'abc_quality': 1.042661241253942, 'absD': 70837874688, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, -1, 0, -544, 13888], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 336, 'degree': 256, 'elladic_images': ['8.48.0.161'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76735256395088508017549797613', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '336.a', 'lmfdb_label': '336.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '6.6.0.a.1', '8.48.0-8.bb.2.4', '12.24.0-12.g.1.2', '24.96.0-24.bj.1.2', '112.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.74629920869451370890943760363', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 112], [7, 8, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854672', 'prec': 107}, 'szpiro_ratio': 5.599757174355421, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 1363
    {'Ciso': '336e', 'Clabel': '336e2', 'Cnumber': 2, 'abc_quality': 1.1486166056524132, 'absD': 16257024, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [0, -1, 0, -64, 64], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 336, 'degree': 64, 'elladic_images': ['8.48.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854672', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [7189057, 3969], 'lmfdb_iso': '336.a', 'lmfdb_label': '336.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4, -1], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.48.0-8.e.2.4', '24.96.0-24.w.2.2', '28.48.0-28.c.1.3', '56.96.0-56.i.1.4', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.74629920869451370890943760363', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 112], [7, 8, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61894179716900553865896626679', 'prec': 107}, 'szpiro_ratio': 4.143953256273425, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1362
    {'Ciso': '336e', 'Clabel': '336e1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 258048, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, -1, 0, 16, 0], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 336, 'degree': 32, 'elladic_images': ['16.48.0.43'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '336.a', 'lmfdb_label': '336.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '14.6.0.b.1', '16.48.0-16.e.1.6', '24.48.0-24.bz.1.11', '28.24.0-28.g.1.1', '48.96.0-48.bd.1.7', '56.48.0-56.bf.1.1', '112.96.0.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.37314960434725685445471880182', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 7], [3, 4, 112], [7, 8, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232752', 'prec': 107}, 'szpiro_ratio': 3.415476930988404, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}