Elliptic curve isogeny class data - 2352.v

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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, 0, 0, 1, 0, -4, 0, 2, 0, 2, 0, 6, 0, 4, 0], 'aplist': [0, 1, 2, 0, -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': 2352, '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': '2352.v', 'trace_hash': 106200373834723601}
• lmfdb_iso 2352.v 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: 13546
    {'Ciso': '2352v', 'Clabel': '2352v5', 'Cnumber': 5, 'abc_quality': 1.0508747826837916, 'absD': 70837874688, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 1, 0, -614672, -185691948], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2352, 'degree': 12288, 'elladic_images': ['16.48.0.114'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7403076384785417327281743479', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53297461115137, 147], 'lmfdb_iso': '2352.v', 'lmfdb_label': '2352.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -784, -8515], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.7', '12.12.0.h.1', '16.48.0-16.e.2.1', '24.48.0-24.bl.1.2', '28.12.0-4.c.1.2', '48.96.0-48.y.1.1', '56.48.0-56.bu.1.4', '84.24.0.?', '112.96.0.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854719', 'prec': 107}, 'szpiro_ratio': 6.646914238559333, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 13544
    {'Ciso': '2352v', 'Clabel': '2352v3', 'Cnumber': 3, 'abc_quality': 1.0814902740568197, 'absD': 10413167579136, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [0, 1, 0, -38432, -2908620], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2352, 'degree': 6144, 'elladic_images': ['8.48.0.142'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3937340481985690780195582871', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [13027640977, 21609], 'lmfdb_iso': '2352.v', 'lmfdb_label': '2352.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49, -136], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.1.2', '12.24.0.c.1', '24.96.0-24.j.2.9', '28.24.0-4.b.1.3', '56.96.0-56.u.1.1', '84.48.0.?', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020608', 'prec': 107}, 'szpiro_ratio': 5.575608323649658, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 13545
    {'Ciso': '2352v', 'Clabel': '2352v4', 'Cnumber': 4, 'abc_quality': 1.0015974661127929, 'absD': 22131775991808, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 1, 0, -30592, 2036852], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2352, 'degree': 6144, 'elladic_images': ['8.48.0.165'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3937340481985690780195582871', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '2352.v', 'lmfdb_label': '2352.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.8', '28.24.0-28.h.1.2', '48.96.0-48.bf.1.14', '56.96.0-56.bl.2.3', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020608', 'prec': 107}, 'szpiro_ratio': 5.4874404529709215, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 13547
    {'Ciso': '2352v', 'Clabel': '2352v6', 'Cnumber': 6, 'abc_quality': 1.042661241253942, 'absD': 8334005119168512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 1, 0, -26672, -4710252], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2352, 'degree': 12288, 'elladic_images': ['16.48.0.126'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7403076384785417327281743479', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '2352.v', 'lmfdb_label': '2352.v4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.bb.2', '12.12.0.g.1', '16.48.0-8.bb.2.8', '24.48.0.bj.1', '28.12.0-4.c.1.2', '48.96.0-24.bj.1.2', '56.48.0-8.bb.2.6', '84.24.0.?', '112.96.0.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854719', 'prec': 107}, 'szpiro_ratio': 5.700083651058965, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 13543
    {'Ciso': '2352v', 'Clabel': '2352v2', 'Cnumber': 2, 'abc_quality': 1.1486166056524132, 'absD': 1912622616576, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [0, 1, 0, -3152, -15660], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2352, 'degree': 3072, 'elladic_images': ['8.48.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0471604579185964233109422264', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [7189057, 3969], 'lmfdb_iso': '2352.v', 'lmfdb_label': '2352.v5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4, -1], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.48.0-8.e.2.13', '24.96.0-24.w.2.11', '28.48.0-28.c.1.2', '56.96.0-56.i.1.5', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61894179716900553865896626678', 'prec': 107}, 'szpiro_ratio': 4.609197399239102, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 13542
    {'Ciso': '2352v', 'Clabel': '2352v1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 30359089152, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 1, 0, 768, -1548], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2352, 'degree': 1536, 'elladic_images': ['16.48.0.49'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70058686763862376860232616566', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '2352.v', 'lmfdb_label': '2352.v6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.10', '14.6.0.b.1', '16.48.0-16.e.1.11', '24.48.0-24.bz.1.6', '28.24.0-28.g.1.1', '48.96.0-48.bd.1.10', '56.48.0-56.bf.1.11', '112.96.0.?', '168.96.0.?', '336.192.1.?'], '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': '-0.96551538744897819336758232752', 'prec': 107}, 'szpiro_ratio': 4.063323880038335, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}