Elliptic curve isogeny class data - 162624.t

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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, -1, 0, 1, 0, 0, 0, 2, 0, 2, 0, -6, 0, 8, 0], 'aplist': [0, -1, -2, -1, 0, 2, -6, 8, -4, 2, -8, -6, -6, -8, -4, -10, 4, -14, -4, 4, 14, -8, -4, -14, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 162624, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '162624.t', 'trace_hash': 1956434161770020609}
• lmfdb_iso 162624.t 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: 1052655
    {'Ciso': '162624cm', 'Clabel': '162624cm3', 'Cnumber': 3, 'abc_quality': 1.034127412075929, 'absD': 4256864565164362432512, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, -1, 0, -712483009, 7320216607585], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 44236800, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5779735623403237690506641094', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [86129359107301290313, 9166294368], 'lmfdb_iso': '162624.t', 'lmfdb_label': '162624.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -92004, 10703088], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '24.24.0-24.bb.1.1', '44.12.0-4.c.1.1', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9959675804236274291655480746', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 54208], [7, 8, 23232], [11, 72, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3393051551012205328938441382', 'prec': 100}, 'szpiro_ratio': 6.064273181151308, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1052654
    {'Ciso': '162624cm', 'Clabel': '162624cm2', 'Cnumber': 2, 'abc_quality': 1.003703237419837, 'absD': 100716598106934051078144, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, -1, 0, -44640449, 113794679649], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 22118400, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2313999720603511143420480487', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [21184262604460873, 216872764416], 'lmfdb_iso': '162624.t', 'lmfdb_label': '162624.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5764, 164560], 'min_quad_twist_disc': 88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.2', '24.24.0-24.a.1.8', '44.12.0-2.a.1.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9919351608472548583310961491', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 54208], [7, 8, 23232], [11, 72, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99273156482124787818522807753', 'prec': 103}, 'szpiro_ratio': 5.371697862059455, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1052656
    {'Ciso': '162624cm', 'Clabel': '162624cm4', 'Cnumber': 4, 'abc_quality': 1.0650939044748338, 'absD': 33866072683593272515362816, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, -1, 0, -11186369, 280362543969], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 44236800, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5779735623403237690506641094', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [-333345918055753, 72923718045024], 'lmfdb_iso': '162624.t', 'lmfdb_label': '162624.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1444, 410800], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '24.24.0-24.v.1.5', '44.12.0-4.c.1.2', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.983870321694509716662192298', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 54208], [7, 8, 23232], [11, 72, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3393051551012205328938441382', 'prec': 100}, 'szpiro_ratio': 5.520521322803762, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1052653
    {'Ciso': '162624cm', 'Clabel': '162624cm1', 'Cnumber': 1, 'abc_quality': 1.0045488905924413, 'absD': 7086772243626775805952, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, -1, 0, -4991169, -1418198175], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 11059200, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8848263817803784596334319879', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [29609739866953, 15259926528], 'lmfdb_iso': '162624.t', 'lmfdb_label': '162624.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -644, -2352], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.bb.1.9', '66.6.0.a.1', '88.24.0.?', '132.12.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9959675804236274291655480746', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 54208], [7, 8, 23232], [11, 72, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64615797454127522347661201673', 'prec': 103}, 'szpiro_ratio': 4.823918622373031, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}