Elliptic curve isogeny class data - 167310.cq

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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, 1, 0, 4, -1, 0, -1, -1, 0, 0, -4, 0, 1, -6, 0, -2, 1], 'aplist': [-1, 0, 1, 4, -1, 0, -6, -2, -6, -6, -8, -2, 6, -10, 6, 6, 0, 8, 4, 6, -14, -16, -12, 0, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 167310, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '167310.cq', 'trace_hash': 2245416542860698099}
• lmfdb_iso 167310.cq 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
  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: 1082395
    {'Ciso': '167310fi', 'Clabel': '167310fi3', 'Cnumber': 3, 'abc_quality': 1.060526939392005, 'absD': 1045066897017000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [1, -1, 0, -16326699, -25387799995], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 167310, 'degree': 11197440, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7043770838710169321450832538', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5066026756449723, 11000000], 'lmfdb_iso': '167310.cq', 'lmfdb_label': '167310.cq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10734, 430740], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '39.8.0-3.a.1.2', '66.24.0.b.1', '78.24.0.?', '88.6.0.?', '264.48.1.?', '312.48.0.?', '858.48.0.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5577], [3, 2, 1859], [5, 6, 33462], [11, 12, 15210], [13, 86, 990]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59794318863916629557190560532', 'prec': 103}, 'szpiro_ratio': 5.10812807917082, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1082396
    {'Ciso': '167310fi', 'Clabel': '167310fi4', 'Cnumber': 4, 'abc_quality': 1.0252808036159649, 'absD': 22452609115599609375000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [1, -1, 0, -16144179, -25983289747], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 167310, 'degree': 22394880, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0509506741509895868536993145', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-4898016158612283, 236328125000], 'lmfdb_iso': '167310.cq', 'lmfdb_label': '167310.cq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10614, 440748], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '39.8.0-3.a.1.2', '78.24.0.?', '88.6.0.?', '132.24.0.?', '264.48.1.?', '312.48.0.?', '1716.48.0.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 507], [3, 2, 1859], [5, 6, 33462], [11, 12, 15210], [13, 86, 990]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94451677891913895028052166602', 'prec': 103}, 'szpiro_ratio': 5.1119821419777285, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1082393
    {'Ciso': '167310fi', 'Clabel': '167310fi1', 'Cnumber': 1, 'abc_quality': 1.100121500224687, 'absD': 1136794239192268800, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [1, -1, 0, -264939, -11052027], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 167310, 'degree': 3732480, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1550709395369620864474606353', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15781142246787, 8722841600], 'lmfdb_iso': '167310.cq', 'lmfdb_label': '167310.cq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -14109, 140165], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '39.8.0-3.a.1.1', '66.24.0.b.1', '78.24.0.?', '88.6.0.?', '264.48.1.?', '312.48.0.?', '858.48.0.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5577], [3, 6, 845], [5, 6, 33462], [11, 12, 15210], [13, 86, 990]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59794318863916629557190560529', 'prec': 103}, 'szpiro_ratio': 4.080228383014204, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1082394
    {'Ciso': '167310fi', 'Clabel': '167310fi2', 'Cnumber': 2, 'abc_quality': 1.0709081254433794, 'absD': 73880524041255360000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [1, -1, 0, 1032981, -88148475], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 167310, 'degree': 7464960, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5016445298169347411560766960', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [935355271080573, 566899520000], 'lmfdb_iso': '167310.cq', 'lmfdb_label': '167310.cq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 55011, 1066373], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '39.8.0-3.a.1.1', '78.24.0.?', '88.6.0.?', '132.24.0.?', '264.48.1.?', '312.48.0.?', '1716.48.0.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 507], [3, 6, 845], [5, 6, 33462], [11, 12, 15210], [13, 86, 990]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94451677891913895028052166599', 'prec': 103}, 'szpiro_ratio': 4.4196235646080195, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}