Elliptic curve isogeny class data - 321600.jn

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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, 4, 0, 1, 0, 4, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 1, 0, 4, 4, 2, 6, 4, 8, 6, 4, -2, -2, 4, 0, 10, 0, -10, -1, 0, -10, -4, 0, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 321600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '321600.jn', 'trace_hash': 1743825001674266018}
• lmfdb_iso 321600.jn 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: 2018185
    {'Ciso': '321600jn', 'Clabel': '321600jn3', 'Cnumber': 3, 'abc_quality': 0.9193313817915736, 'absD': 3095212185600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8040, 'ainvs': [0, 1, 0, -469633, 90288863], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 321600, 'degree': 6291456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2560633354903634008315795609', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 247, 'isogeny_degrees': [1, 2, 4], 'jinv': [5593330773938, 1511334075], 'lmfdb_iso': '321600.jn', 'lmfdb_label': '321600.jn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4696, 88880], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0.s.1', '120.24.0.?', '536.12.0.?', '1608.24.0.?', '2680.24.0.?', '8040.48.0.?'], '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, 107200], [5, 18, 12864], [67, 68, 4800]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46938587348005735852345438889', 'prec': 103}, 'szpiro_ratio': 4.005399416853948, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2018184
    {'Ciso': '321600jn', 'Clabel': '321600jn2', 'Cnumber': 2, 'abc_quality': 0.8859758047611127, 'absD': 25856640000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8040, 'ainvs': [0, 1, 0, -169633, -25811137], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 321600, 'degree': 3145728, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9094897452103907461229635001', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 247, 'isogeny_degrees': [1, 2], 'jinv': [527178079876, 25250625], 'lmfdb_iso': '321600.jn', 'lmfdb_label': '321600.jn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1696, -26320], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0.b.1', '120.24.0.?', '536.12.0.?', '804.12.0.?', '1608.24.0.?', '2680.24.0.?', '4020.24.0.?', '8040.48.0.?'], '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, 107200], [5, 18, 12864], [67, 68, 4800]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18057454824674681293294100488', 'prec': 103}, 'szpiro_ratio': 3.7644938386902522, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2018183
    {'Ciso': '321600jn', 'Clabel': '321600jn1', 'Cnumber': 1, 'abc_quality': 0.8843301767722153, 'absD': 1286400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8040, 'ainvs': [0, 1, 0, -167633, -26473137], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 321600, 'degree': 1572864, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5629161549304180914143474394', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 247, 'isogeny_degrees': [1, 2, 4], 'jinv': [2035002230224, 5025], 'lmfdb_iso': '321600.jn', 'lmfdb_label': '321600.jn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1676, -26976], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0-4.c.1.5', '120.24.0.?', '402.6.0.?', '536.12.0.?', '804.12.0.?', '1608.24.0.?', '2680.24.0.?', '8040.48.0.?'], '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, 5025], [3, 4, 107200], [5, 18, 12864], [67, 68, 4800]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.050474511939901623539469702248', 'prec': 110}, 'szpiro_ratio': 3.761688035347089, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2018186
    {'Ciso': '321600jn', 'Clabel': '321600jn4', 'Cnumber': 4, 'abc_quality': 0.9504957161233356, 'absD': 4341600000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8040, 'ainvs': [0, 1, 0, 98367, -99511137], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 321600, 'degree': 6291456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2560633354903634008315795609', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 247, 'isogeny_degrees': [1, 2, 4], 'jinv': [51396982702, 2119921875], 'lmfdb_iso': '321600.jn', 'lmfdb_label': '321600.jn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 984, -99216], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0.y.1', '120.24.0.?', '536.12.0.?', '1608.24.0.?', '2680.24.0.?', '8040.48.0.?'], '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, 1675], [3, 4, 107200], [5, 18, 12864], [67, 68, 4800]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46938587348005735852345438889', 'prec': 103}, 'szpiro_ratio': 3.9709101231349986, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}