Elliptic curve isogeny class data - 159600.eg

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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, 0, 0, -2, 0, 0, 0, -2, 0, 1, 0], 'aplist': [0, 1, 0, -1, 0, -2, -2, 1, 8, 2, -4, -2, 6, -12, -8, -10, 4, -10, 4, -8, -10, 4, 0, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 159600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '159600.eg', 'trace_hash': 1698709956169716772}
• lmfdb_iso 159600.eg 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: 1033272
    {'Ciso': '159600by', 'Clabel': '159600by4', 'Cnumber': 4, 'abc_quality': 1.0337434605859166, 'absD': 9808479744000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 1, 0, -2511808, -1533073612], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 159600, 'degree': 2359296, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2607409104972743985207347732', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 4], 'jinv': [27384399945278713, 153257496], 'lmfdb_iso': '159600.eg', 'lmfdb_label': '159600.eg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6280, 191006], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.s.1', '40.12.0-4.c.1.1', '60.12.0-4.c.1.2', '120.24.0.?', '152.12.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 53200], [5, 14, 6384], [7, 8, 22800], [19, 20, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76287477372027890180312298513', 'prec': 103}, 'szpiro_ratio': 4.659529111083402, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1033270
    {'Ciso': '159600by', 'Clabel': '159600by2', 'Cnumber': 2, 'abc_quality': 0.9974142417708209, 'absD': 31952277504000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 1, 0, -159808, -23089612], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 159600, 'degree': 1179648, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9141673202173017438121187125', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2], 'jinv': [7052482298233, 499254336], 'lmfdb_iso': '159600.eg', 'lmfdb_label': '159600.eg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -400, 2846], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.b.1', '40.12.0-2.a.1.1', '60.12.0-2.a.1.1', '120.24.0.?', '152.12.0.?', '228.12.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 53200], [5, 14, 6384], [7, 8, 22800], [19, 20, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41630118344030624709450692443', 'prec': 103}, 'szpiro_ratio': 3.9697081350915684, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1033269
    {'Ciso': '159600by', 'Clabel': '159600by1', 'Cnumber': 1, 'abc_quality': 0.9136325031445056, 'absD': 732168192000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 1, 0, -31808, 1742388], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 159600, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5675937299373290891035026518', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 4], 'jinv': [55611739513, 11440128], 'lmfdb_iso': '159600.eg', 'lmfdb_label': '159600.eg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -80, -226], 'min_quad_twist_disc': -20, '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.1.4', '60.12.0-4.c.1.1', '114.6.0.?', '120.24.0.?', '152.12.0.?', '228.12.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1425], [3, 4, 53200], [5, 14, 6384], [7, 8, 22800], [19, 20, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.069727593160333592385890863730', 'prec': 107}, 'szpiro_ratio': 3.565487064310138, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1033271
    {'Ciso': '159600by', 'Clabel': '159600by3', 'Cnumber': 3, 'abc_quality': 1.1650936017955584, 'absD': 4542478714368000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 1, 0, 144192, -100305612], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 159600, 'degree': 2359296, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2607409104972743985207347732', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2, 4], 'jinv': [5180411077127, 70976229912], 'lmfdb_iso': '159600.eg', 'lmfdb_label': '159600.eg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 360, 12574], 'min_quad_twist_disc': -20, '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.1.2', '120.24.0.?', '152.12.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 475], [3, 4, 53200], [5, 14, 6384], [7, 8, 22800], [19, 20, 8400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76287477372027890180312298513', 'prec': 103}, 'szpiro_ratio': 4.20448890683448, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}