Elliptic curve isogeny class data - 525.d

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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, -1, -1, 0, -1, 1, -3, 1, 0, 4, 1, 2, 1, 0, -1, 6, 1, 4, 0], 'aplist': [1, -1, 0, 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': 525, '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': '525.d', 'trace_hash': 174802750194997669}
• lmfdb_iso 525.d 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: 2339
    {'Ciso': '525b', 'Clabel': '525b5', 'Cnumber': 5, 'abc_quality': 1.0508747826837916, 'absD': 2296875, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 1, 0, -19600, -1064375], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 525, 'degree': 512, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87892433960798995805864552129', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53297461115137, 147], 'lmfdb_iso': '525.d', 'lmfdb_label': '525.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -784, -8515], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '16.24.0.e.2', '20.12.0-4.c.1.1', '24.24.0.bl.1', '40.24.0-8.n.1.5', '48.48.0.y.1', '56.24.0.bu.1', '60.24.0-12.h.1.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.1.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854677', 'prec': 107}, 'szpiro_ratio': 6.588043032989946, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2337
    {'Ciso': '525b', 'Clabel': '525b3', 'Cnumber': 3, 'abc_quality': 1.0814902740568197, 'absD': 337640625, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [1, 1, 0, -1225, -17000], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 525, 'degree': 256, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53235074932801730335002946056', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [13027640977, 21609], 'lmfdb_iso': '525.d', 'lmfdb_label': '525.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49, -136], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '12.24.0.c.1', '20.24.0-4.b.1.1', '24.48.0.j.2', '40.48.0-8.e.1.1', '56.48.0.u.1', '60.48.0-12.c.1.3', '120.96.0.?', '168.96.1.?', '280.96.0.?', '840.192.1.?'], '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': '-0.27236820688903288395035020605', 'prec': 107}, 'szpiro_ratio': 5.260238174149592, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2338
    {'Ciso': '525b', 'Clabel': '525b4', 'Cnumber': 4, 'abc_quality': 1.0015974661127929, 'absD': 717609375, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 1, 0, -975, 11250], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 525, 'degree': 256, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53235074932801730335002946056', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '525.d', 'lmfdb_label': '525.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '20.12.0-4.c.1.2', '28.12.0.h.1', '40.48.0-8.bb.1.7', '48.48.0.bf.1', '56.48.0.bl.2', '140.24.0.?', '240.96.0.?', '280.96.0.?', '336.96.1.?', '1680.192.1.?'], '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': '-0.27236820688903288395035020605', 'prec': 107}, 'szpiro_ratio': 5.1509605855061045, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2340
    {'Ciso': '525b', 'Clabel': '525b6', 'Cnumber': 6, 'abc_quality': 1.042661241253942, 'absD': 270225046875, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 1, 0, -850, -27125], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 525, 'degree': 512, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87892433960798995805864552129', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '525.d', 'lmfdb_label': '525.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': 5, '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', '20.12.0-4.c.1.1', '24.48.0.bj.1', '40.48.0-8.bb.2.3', '60.24.0-12.g.1.1', '112.48.0.?', '120.96.0.?', '336.96.1.?', '560.96.0.?', '1680.192.1.?'], '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': '0.074205383390939770758265854677', 'prec': 107}, 'szpiro_ratio': 5.414516184043485, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2336
    {'Ciso': '525b', 'Clabel': '525b2', 'Cnumber': 2, 'abc_quality': 1.1486166056524132, 'absD': 62015625, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [1, 1, 0, -100, -125], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 525, 'degree': 128, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18577715904804464864141339983', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [7189057, 3969], 'lmfdb_iso': '525.d', 'lmfdb_label': '525.d5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4, -1], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '20.24.0-4.b.1.3', '24.48.0.w.2', '28.24.0.c.1', '40.48.0-8.e.2.2', '56.48.0.i.1', '120.96.0.?', '140.48.0.?', '168.96.1.?', '280.96.0.?', '840.192.1.?'], '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': '-0.61894179716900553865896626678', 'prec': 107}, 'szpiro_ratio': 4.062442938251054, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2335
    {'Ciso': '525b', 'Clabel': '525b1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 984375, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 1, 0, 25, 0], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 525, 'degree': 64, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.16079643123192800606720266090', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '525.d', 'lmfdb_label': '525.d6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': 5, '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.e.1', '20.12.0-4.c.1.2', '24.24.0.bz.1', '28.12.0.g.1', '40.24.0-8.n.1.1', '48.48.0.bd.1', '56.24.0.bf.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.24.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.1.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], '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': '-0.96551538744897819336758232751', 'prec': 107}, 'szpiro_ratio': 3.385872874537579, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}