Elliptic curve isogeny class data - 394944.x

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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, -2, 0, 0, 0, 1, 0, 0, 0, -2, 0, 2, 0, -1, 0, 8, 0], 'aplist': [0, -1, -2, 0, 0, -2, -1, 8, -8, 6, 8, -6, -2, 8, -4, -6, 8, 10, -4, 0, 10, 0, 12, -14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 394944, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '394944.x', 'trace_hash': 235941117501223050}
• lmfdb_iso 394944.x 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: 2453697
    {'Ciso': '394944x', 'Clabel': '394944x3', 'Cnumber': 3, 'abc_quality': 0.9807031315333614, 'absD': 1279987293165453312, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -1409569, 642302113], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 394944, 'degree': 7864320, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3297248177853735899823189864', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [666940371553, 2756193], 'lmfdb_iso': '394944.x', 'lmfdb_label': '394944.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -182, -957], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '66.6.0.a.1', '88.12.0.?', '132.12.0.?', '136.12.0.?', '264.24.0.?', '408.24.0.?', '1496.24.0.?', '4488.48.0.?'], '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, 2, 363], [3, 4, 131648], [11, 72, 3264], [17, 18, 23232]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.091056410546270353825499015232', 'prec': 107}, 'szpiro_ratio': 4.197415160578589, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2453696
    {'Ciso': '394944x', 'Clabel': '394944x2', 'Cnumber': 2, 'abc_quality': 1.1639137797910244, 'absD': 146157718596747264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -131809, -922271], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 394944, 'degree': 3932160, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9831512275054009352737029257', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 314721], 'lmfdb_iso': '394944.x', 'lmfdb_label': '394944.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -17, 0], 'min_quad_twist_disc': -88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '68.12.0.a.1', '88.12.0.?', '132.12.0.?', '264.24.0.?', '408.24.0.?', '1496.24.0.?', '2244.24.0.?', '4488.48.0.?'], '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, 121], [3, 4, 131648], [11, 72, 3264], [17, 18, 23232]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25551717973370230088311704547', 'prec': 107}, 'szpiro_ratio': 3.6457487186727, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2453695
    {'Ciso': '394944x', 'Clabel': '394944x1', 'Cnumber': 1, 'abc_quality': 0.8952393132977357, 'absD': 260530692685824, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -93089, -10873311], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 394944, 'degree': 1966080, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6365776372254282805650868650', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [192100033, 561], 'lmfdb_iso': '394944.x', 'lmfdb_label': '394944.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12, 15], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '88.12.0.?', '136.12.0.?', '264.24.0.?', '408.24.0.?', '1122.6.0.?', '1496.24.0.?', '2244.12.0.?', '4488.48.0.?'], '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, 6171], [3, 4, 131648], [11, 72, 3264], [17, 18, 23232]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60209077001367495559173310617', 'prec': 107}, 'szpiro_ratio': 3.564780997038762, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2453698
    {'Ciso': '394944x', 'Clabel': '394944x4', 'Cnumber': 4, 'abc_quality': 0.9988178278632754, 'absD': 9362691503050457088, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, 526431, -7899615], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 394944, 'degree': 7864320, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3297248177853735899823189864', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [34741712447, 20160657], 'lmfdb_iso': '394944.x', 'lmfdb_label': '394944.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 68, 17], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '68.12.0.h.1', '88.12.0.?', '264.24.0.?', '408.24.0.?', '1496.24.0.?', '4488.48.0.?'], '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, 2, 2057], [3, 4, 131648], [11, 72, 3264], [17, 18, 23232]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.091056410546270353825499015232', 'prec': 107}, 'szpiro_ratio': 3.9681240605588504, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}