Elliptic curve isogeny class data - 453882.bf

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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, 4, -1, 1, 0, 1, 1, 1, -4, 0, 1, 0, -1, 4, 0], 'aplist': [-1, 1, 0, 4, 1, 1, 0, 4, 0, 0, -10, -2, -6, 10, 0, -6, 0, -2, -2, 12, -10, 10, 12, -12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 453882, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '453882.bf', 'trace_hash': 2218737424586800628}
• lmfdb_iso 453882.bf 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: 2796341
    {'Ciso': '453882bf', 'Clabel': '453882bf4', 'Cnumber': 4, 'abc_quality': 1.1301238642654245, 'absD': 544616800375740837888, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 39468, 'ainvs': [1, 0, 1, -34477851, 77910731302], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 453882, 'degree': 43794432, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0035718267068590335939058941', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [30618029936661765625, 3678951124992], 'lmfdb_iso': '453882.bf', 'lmfdb_label': '453882.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -65176, -6409114], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '69.8.0-3.a.1.1', '138.24.0.?', '276.48.0.?', '572.6.0.?', '1716.48.1.?', '39468.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 4, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7085387997804074168682272389', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4358247187422841881905294782', 'prec': 100}, 'szpiro_ratio': 4.888920474464013, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2796340
    {'Ciso': '453882bf', 'Clabel': '453882bf3', 'Cnumber': 3, 'abc_quality': 0.9888164482102493, 'absD': 386768262325440872448, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 39468, 'ainvs': [1, 0, 1, -1976091, 1427589670], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 453882, 'degree': 21897216, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6569982364268863788852898333', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-5764706497797625, 2612665516032], 'lmfdb_iso': '453882.bf', 'lmfdb_label': '453882.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3736, -117658], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '69.8.0-3.a.1.1', '138.24.0.?', '276.48.0.?', '286.6.0.?', '858.24.0.?', '1716.48.1.?', '19734.48.0.?', '39468.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 4, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4170775995608148337364544778', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0892511284623115334819134174', 'prec': 100}, 'szpiro_ratio': 4.274806134182437, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2796339
    {'Ciso': '453882bf', 'Clabel': '453882bf2', 'Cnumber': 2, 'abc_quality': 1.033360901289125, 'absD': 37350485131593162672, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 39468, 'ainvs': [1, 0, 1, -952476, -203928854], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 453882, 'degree': 14598144, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4542656823728041878962832756', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [645532578015625, 252306960048], 'lmfdb_iso': '453882.bf', 'lmfdb_label': '453882.bf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1801, 16604], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '69.8.0-3.a.1.2', '138.24.0.?', '276.48.0.?', '572.6.0.?', '1716.48.1.?', '39468.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 4, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.90284626659346913895607574631', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88651857440822934249290685969', 'prec': 103}, 'szpiro_ratio': 4.062315166285601, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2796338
    {'Ciso': '453882bf', 'Clabel': '453882bf1', 'Cnumber': 1, 'abc_quality': 0.9633259695924191, 'absD': 667662911277702912, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 39468, 'ainvs': [1, 0, 1, 190164, -22934678], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 453882, 'degree': 7299072, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1076920920928315331876672149', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5137417856375, 4510142208], 'lmfdb_iso': '453882.bf', 'lmfdb_label': '453882.bf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 359, 1916], 'min_quad_twist_disc': -23, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '69.8.0-3.a.1.2', '138.24.0.?', '276.48.0.?', '286.6.0.?', '858.24.0.?', '1716.48.1.?', '19734.48.0.?', '39468.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 4, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8056925331869382779121514926', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53994498412825668778429079899', 'prec': 103}, 'szpiro_ratio': 3.6912360713314776, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}