Elliptic curve isogeny class data - 441.a

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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, -2, 0, 2, -2, 0, 0, 0, 0, 4, 2, 0, -1, 0, 0, -4, 0, 0, -1, -4], 'aplist': [-2, 0, -2, 0, 2, -1, 0, -1, 0, -4, -9, 3, -10, 5, -6, -12, -12, -10, -5, 6, 3, -1, 6, 16, 6], 'class_deg': 13, 'class_size': 2, 'conductor': 441, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '441.a', 'trace_hash': 804677887719655042}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 6312
    {'lmfdb_iso': '441.a', 'p': 5, 'prec': 20, 'unit': 6280386554909, 'val': 1}
  • id: 6311
    {'lmfdb_iso': '441.a', 'p': 11, 'prec': 20, 'unit': 53739065549507670294, 'val': 1}
  • id: 6318
    {'lmfdb_iso': '441.a', 'p': 13, 'prec': 20, 'unit': 1285627191372639069623, 'val': 1}
  • id: 6321
    {'lmfdb_iso': '441.a', 'p': 19, 'prec': 20, 'unit': 525652093479540379739961, 'val': 1}
  • id: 6317
    {'lmfdb_iso': '441.a', 'p': 29, 'prec': 20, 'unit': 865934663226013758488736710, 'val': 1}
  • id: 6314
    {'lmfdb_iso': '441.a', 'p': 31, 'prec': 20, 'unit': 17182214333058966088762829057, 'val': 1}
  • id: 6328
    {'lmfdb_iso': '441.a', 'p': 37, 'prec': 20, 'unit': 217944218256213674646777057178, 'val': 1}
  • id: 6315
    {'lmfdb_iso': '441.a', 'p': 41, 'prec': 20, 'unit': 2678341172136841905963574753376, 'val': 1}
  • id: 6316
    {'lmfdb_iso': '441.a', 'p': 43, 'prec': 20, 'unit': 1801253231088128638675844464564, 'val': 1}
  • id: 6326
    {'lmfdb_iso': '441.a', 'p': 47, 'prec': 20, 'unit': 23339481314316687381512722036917, 'val': 1}
  • id: 6322
    {'lmfdb_iso': '441.a', 'p': 53, 'prec': 20, 'unit': 108439520998770730002776406326629, 'val': 1}
  • id: 6320
    {'lmfdb_iso': '441.a', 'p': 59, 'prec': 20, 'unit': 2189223130024117220774018941724657, 'val': 1}
  • id: 6327
    {'lmfdb_iso': '441.a', 'p': 61, 'prec': 20, 'unit': 5219405691233192413418405380774935, 'val': 1}
  • id: 6310
    {'lmfdb_iso': '441.a', 'p': 67, 'prec': 20, 'unit': 27113560174589515176162361491314199, 'val': 1}
  • id: 6313
    {'lmfdb_iso': '441.a', 'p': 71, 'prec': 20, 'unit': 90620652462627546466826162262239650, 'val': 1}
  • id: 6323
    {'lmfdb_iso': '441.a', 'p': 73, 'prec': 20, 'unit': 14932250733424247079026532094408103, 'val': 1}
  • id: 6319
    {'lmfdb_iso': '441.a', 'p': 79, 'prec': 20, 'unit': 668055939478824372066526898848548276, 'val': 1}
  • id: 6324
    {'lmfdb_iso': '441.a', 'p': 83, 'prec': 20, 'unit': 312564298663924021114920798413150121, 'val': 1}
  • id: 6325
    {'lmfdb_iso': '441.a', 'p': 89, 'prec': 20, 'unit': 1617072768581196175650240684742628867, 'val': 1}
  • id: 6309
    {'lmfdb_iso': '441.a', 'p': 97, 'prec': 20, 'unit': 1874927584493962146191472499878332933, 'val': 1}
• 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: 1906
    {'Ciso': '441f', 'Clabel': '441f2', 'Cnumber': 2, 'abc_quality': 1.1059237401535138, 'absD': 56950811883, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 546, 'ainvs': [0, 0, 1, -8211, -286610], 'analytic_rank': 1, 'bad_primes': [3, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 441, 'degree': 624, 'elladic_images': ['13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98669330664577091169938118731', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 0, 'isogeny_degrees': [1, 13], 'jinv': [-1713910976512, 1594323], 'lmfdb_iso': '441.a', 'lmfdb_label': '441.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -912, 10919], 'min_quad_twist_disc': -3, 'modell_images': ['13B.4.2'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.2', '78.56.1.?', '91.84.2.?', '182.168.2.?', '273.168.2.?', '546.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.99151044712942316397777192313', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 8, 49], [7, 14, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11306880413583051515086644494', 'prec': 103}, 'szpiro_ratio': 6.34826971306323, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1905
    {'Ciso': '441f', 'Clabel': '441f1', 'Cnumber': 1, 'abc_quality': 0.9123874511245065, 'absD': 107163, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 546, 'ainvs': [0, 0, 1, -21, 40], 'analytic_rank': 1, 'bad_primes': [3, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 441, 'degree': 48, 'elladic_images': ['13.28.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29578137208499745632736253347', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 13], 'jinv': [-28672, 3], 'lmfdb_iso': '441.a', 'lmfdb_label': '441.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -2, -1], 'min_quad_twist_disc': -3, 'modell_images': ['13B.4.1'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.1', '78.56.1.?', '91.84.2.?', '182.168.2.?', '273.168.2.?', '546.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 2, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.076270034394571012613674763318', 'prec': 107}, 'semistable': False, 'serre_invariants': [[3, 8, 49], [7, 14, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1694058745949378528758772758', 'prec': 103}, 'szpiro_ratio': 3.434588835051495, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}