Elliptic curve isogeny class data - 4200.n

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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, 0, 0, 1, 0, 1, 0, 4, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 1, 4, 2, -2, 4, 0, -2, 8, 2, 2, -4, 0, 10, -12, 6, -12, 0, 6, -8, -4, 2, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 4200, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '4200.n', 'trace_hash': 1389101446378439024}
• lmfdb_iso 4200.n 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 25689
    {'Ciso': '4200d', 'Clabel': '4200d4', 'Cnumber': 4, 'abc_quality': 0.9870093428162598, 'absD': 5040000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -168008, 26562012], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4200, 'degree': 12288, 'elladic_images': ['16.24.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4400549806415295933579815665', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [32779037733124, 315], 'lmfdb_iso': '4200.n', 'lmfdb_label': '4200.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6720, 209808], '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', '16.24.0-8.n.1.2', '20.12.0-4.c.1.2', '24.24.0-8.n.1.7', '28.12.0-4.c.1.1', '40.24.0-8.n.1.1', '48.48.0-48.h.1.32', '56.24.0-8.n.1.9', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.24.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 175], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.057713373957858314876575132005', 'prec': 107}, 'szpiro_ratio': 5.7185455711718856, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 25690
    {'Ciso': '4200d', 'Clabel': '4200d5', 'Cnumber': 5, 'abc_quality': 0.9864758879980504, 'absD': 1837500000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -162008, -24959988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4200, 'degree': 24576, 'elladic_images': ['16.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7866285709215022480665976273', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [14695548366242, 57421875], 'lmfdb_iso': '4200.n', 'lmfdb_label': '4200.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6480, -202272], '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', '16.24.0-8.n.1.4', '20.12.0-4.c.1.1', '24.24.0.bj.1', '40.24.0-8.n.1.5', '48.48.0-24.bj.1.1', '56.24.0.bu.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34652469919116886046708851602', 'prec': 103}, 'szpiro_ratio': 5.705468798287987, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 25688
    {'Ciso': '4200d', 'Clabel': '4200d3', 'Cnumber': 3, 'abc_quality': 1.084056154350823, 'absD': 216090000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -15008, 30012], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4200, 'degree': 12288, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4400549806415295933579815665', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [23366901604, 13505625], 'lmfdb_iso': '4200.n', 'lmfdb_label': '4200.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -600, 0], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '20.24.0-4.b.1.1', '24.48.0-24.e.1.18', '40.48.0-40.h.1.14', '56.48.0-56.h.1.4', '120.96.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.057713373957858314876575132005', 'prec': 107}, 'szpiro_ratio': 4.849989527083485, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 25687
    {'Ciso': '4200d', 'Clabel': '4200d2', 'Cnumber': 2, 'abc_quality': 0.9234875310750043, 'absD': 396900000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -10508, 417012], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4200, 'degree': 6144, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0934813903615569386493655058', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [32082281296, 99225], 'lmfdb_iso': '4200.n', 'lmfdb_label': '4200.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -420, 3168], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '20.24.0-4.b.1.3', '24.48.0-24.l.1.19', '28.24.0-4.b.1.2', '40.48.0-40.h.2.4', '56.48.0-56.h.2.31', '120.96.0.?', '140.48.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17333568622879012159583557512', 'prec': 107}, 'szpiro_ratio': 4.721818418357937, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 25686
    {'Ciso': '4200d', 'Clabel': '4200d1', 'Cnumber': 1, 'abc_quality': 0.9612989106730464, 'absD': 57408750000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -383, 12012], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4200, 'degree': 3072, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74690780008158428394074944507', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-24918016, 229635], 'lmfdb_iso': '4200.n', 'lmfdb_label': '4200.n5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -15, 90], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '20.12.0-4.c.1.2', '28.12.0-4.c.1.2', '40.48.0-40.ca.1.12', '48.48.0-48.h.1.4', '56.48.0-56.bu.2.9', '70.6.0.a.1', '140.24.0.?', '240.96.0.?', '280.96.0.?', '336.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 175], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28886021632211433983204092870', 'prec': 107}, 'szpiro_ratio': 3.8702751580360695, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 25691
    {'Ciso': '4200d', 'Clabel': '4200d6', 'Cnumber': 6, 'abc_quality': 1.1006655403587287, 'absD': 13835522400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 59992, 180012], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4200, 'degree': 24576, 'elladic_images': ['8.24.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7866285709215022480665976273', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [746185003198, 432360075], 'lmfdb_iso': '4200.n', 'lmfdb_label': '4200.n6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 2400, 2400], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '20.12.0-4.c.1.1', '24.48.0-24.bn.1.9', '40.48.0-40.ca.2.8', '112.48.0.?', '120.96.0.?', '336.96.0.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 1400], [5, 18, 168], [7, 8, 600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34652469919116886046708851602', 'prec': 103}, 'szpiro_ratio': 5.348237159952068, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}