Elliptic curve isogeny class data - 53361.q

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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, -1, 0, -1, -2, 0, 0, 3, 0, 2, 0, 0, 6, 0, 0, -1, -2, 0, 4, 2], 'aplist': [-1, 0, -2, 0, 0, 6, -2, 4, 0, -2, -8, 6, -10, 4, -8, -6, 4, -10, -12, 0, 2, -16, -4, 18, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 53361, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 2, 4, 2], [8, 4, 2, 1, 8, 4], [4, 2, 4, 8, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '53361.q', 'trace_hash': 360861446666720347}
• lmfdb_iso 53361.q does not appear in ec_padic
• 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: 354368
    {'Ciso': '53361bp', 'Clabel': '53361bp6', 'Cnumber': 6, 'abc_quality': 1.000218740479904, 'absD': 844355482092502892127, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [1, -1, 1, -241139471, 1441346935592], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 53361, 'degree': 7372800, 'elladic_images': ['16.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3439988456476224070485692149', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [10206027697760497, 5557167], 'lmfdb_iso': '53361.q', 'lmfdb_label': '53361.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4519, -118810], 'min_quad_twist_disc': -231, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.1', '24.24.0-8.n.1.7', '28.12.0.h.1', '48.48.0-48.e.2.24', '56.24.0.bj.1', '88.24.0.?', '112.48.0.?', '132.12.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.24.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62278999038672563676729843573', 'prec': 103}, 'szpiro_ratio': 6.38652386237779, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 354366
    {'Ciso': '53361bp', 'Clabel': '53361bp4', 'Cnumber': 4, 'abc_quality': 0.9546990293922524, 'absD': 8829248065831480859649, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [1, -1, 1, -15155636, 22258845326], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 53361, 'degree': 3686400, 'elladic_images': ['8.24.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9974252553676497523399531542', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [2533811507137, 58110129], 'lmfdb_iso': '53361.q', 'lmfdb_label': '53361.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -284, -1924], 'min_quad_twist_disc': -231, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.9', '24.48.0-24.i.1.28', '28.24.0.c.1', '56.48.0-28.c.1.14', '88.48.0.?', '132.24.0.?', '168.96.0.?', '264.96.0.?', '616.96.0.?', '924.48.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27621640010675298205868237503', 'prec': 103}, 'szpiro_ratio': 5.62390240226711, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 354364
    {'Ciso': '53361bp', 'Clabel': '53361bp2', 'Cnumber': 2, 'abc_quality': 0.9267734643706906, 'absD': 397275624633372417009, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [1, -1, 1, -2082191, -645830314], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 53361, 'degree': 1843200, 'elladic_images': ['8.24.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6508516650876770976313370935', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [6570725617, 2614689], 'lmfdb_iso': '53361.q', 'lmfdb_label': '53361.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -39, 36], 'min_quad_twist_disc': -231, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.9', '24.48.0-24.i.2.28', '28.24.0-4.b.1.2', '56.48.0-56.m.1.18', '88.48.0.?', '132.24.0.?', '168.96.0.?', '264.96.0.?', '616.96.0.?', '924.48.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.070357190173219672649933685668', 'prec': 110}, 'szpiro_ratio': 5.076824245190555, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 354363
    {'Ciso': '53361bp', 'Clabel': '53361bp1', 'Cnumber': 1, 'abc_quality': 0.9010925805464532, 'absD': 245686842692252577, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [1, -1, 1, -1815386, -940703200], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 53361, 'degree': 921600, 'elladic_images': ['16.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3042780748077044429227210327', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 1617], 'lmfdb_iso': '53361.q', 'lmfdb_label': '53361.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -34, 62], 'min_quad_twist_disc': -231, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.1', '24.24.0-8.n.1.8', '28.12.0-4.c.1.2', '48.48.0-48.e.1.32', '56.24.0-8.n.1.10', '66.6.0.a.1', '88.24.0.?', '112.48.0.?', '132.12.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.24.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41693078045319232735854974647', 'prec': 107}, 'szpiro_ratio': 5.039031498446256, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 354367
    {'Ciso': '53361bp', 'Clabel': '53361bp5', 'Cnumber': 5, 'abc_quality': 1.0676539350043504, 'absD': 2051889221140297004224143, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [1, -1, 1, 1653079, 68913114680], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 53361, 'degree': 7372800, 'elladic_images': ['16.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3439988456476224070485692149', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3288008303, 13504609503], 'lmfdb_iso': '53361.q', 'lmfdb_label': '53361.q5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 31, -5578], 'min_quad_twist_disc': -231, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '14.6.0.b.1', '16.24.0-8.n.1.1', '24.24.0.bz.2', '28.12.0.g.1', '48.48.0-24.bz.2.12', '56.24.0.bf.1', '88.24.0.?', '112.48.0.?', '132.12.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.24.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62278999038672563676729843573', 'prec': 103}, 'szpiro_ratio': 5.827867832522116, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 354365
    {'Ciso': '53361bp', 'Clabel': '53361bp3', 'Cnumber': 3, 'abc_quality': 0.9627759427597199, 'absD': 28904811355900823431473, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [1, -1, 1, 6722374, -4681842910], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 53361, 'degree': 3686400, 'elladic_images': ['16.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9974252553676497523399531542', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [221115865823, 190238433], 'lmfdb_iso': '53361.q', 'lmfdb_label': '53361.q6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 126, 432], 'min_quad_twist_disc': -231, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.1', '24.24.0.bz.1', '28.12.0-4.c.1.1', '48.48.0-24.bz.1.10', '56.24.0-8.n.1.9', '88.24.0.?', '112.48.0.?', '132.12.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.24.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27621640010675298205868237503', 'prec': 103}, 'szpiro_ratio': 5.399848198928045, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}