Elliptic curve isogeny class data - 83205.q

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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, 0, -1, 1, 0, -4, -3, 0, 1, -4, 0, 2, -4, 0, -1, -6, 0, 6, -1], 'aplist': [1, 0, 1, -4, -4, 2, -6, 6, 6, -2, -4, -8, -8, 0, 6, -6, 0, 10, 12, 16, -16, -4, -6, 2, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 83205, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '83205.q', 'trace_hash': 621770014919824575}
• ec_padic •

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

  
  
  • id: 4288896
    {'lmfdb_iso': '83205.q', 'p': 7, 'prec': 20, 'unit': 62351249513535977, 'val': 0}
  • id: 4288898
    {'lmfdb_iso': '83205.q', 'p': 11, 'prec': 20, 'unit': 13687878131244169312, 'val': 1}
  • id: 4288900
    {'lmfdb_iso': '83205.q', 'p': 13, 'prec': 20, 'unit': 79307319225041142328, 'val': 1}
  • id: 4288902
    {'lmfdb_iso': '83205.q', 'p': 17, 'prec': 20, 'unit': 195469108706131180203156, 'val': 1}
  • id: 4288903
    {'lmfdb_iso': '83205.q', 'p': 19, 'prec': 20, 'unit': 680675018866251677728788, 'val': 1}
  • id: 4288906
    {'lmfdb_iso': '83205.q', 'p': 23, 'prec': 20, 'unit': 20208911452772585295723204, 'val': 1}
  • id: 4288899
    {'lmfdb_iso': '83205.q', 'p': 29, 'prec': 20, 'unit': 5212128081310555446680094848, 'val': 1}
  • id: 4288911
    {'lmfdb_iso': '83205.q', 'p': 31, 'prec': 20, 'unit': 8103369092334411878633473009, 'val': 1}
  • id: 4288895
    {'lmfdb_iso': '83205.q', 'p': 37, 'prec': 20, 'unit': 102535291260982982051376890548, 'val': 1}
  • id: 4288897
    {'lmfdb_iso': '83205.q', 'p': 41, 'prec': 20, 'unit': 493013227157135163284378971575, 'val': 1}
  • id: 4288901
    {'lmfdb_iso': '83205.q', 'p': 47, 'prec': 20, 'unit': 49001188356725425991211068402222, 'val': 1}
  • id: 4288904
    {'lmfdb_iso': '83205.q', 'p': 53, 'prec': 20, 'unit': 383576206473847350733457444200701, 'val': 1}
  • id: 4288910
    {'lmfdb_iso': '83205.q', 'p': 61, 'prec': 20, 'unit': 278366800404370803076450581715993, 'val': 1}
  • id: 4288894
    {'lmfdb_iso': '83205.q', 'p': 67, 'prec': 20, 'unit': 48376700669638371222774768882107773, 'val': 1}
  • id: 4288908
    {'lmfdb_iso': '83205.q', 'p': 71, 'prec': 20, 'unit': 75610831502010100901694830825345830, 'val': 1}
  • id: 4288905
    {'lmfdb_iso': '83205.q', 'p': 73, 'prec': 20, 'unit': 51041782663840809174826420836075139, 'val': 1}
  • id: 4288909
    {'lmfdb_iso': '83205.q', 'p': 79, 'prec': 20, 'unit': 1071897014182110023946114702627154097, 'val': 1}
  • id: 4288893
    {'lmfdb_iso': '83205.q', 'p': 83, 'prec': 20, 'unit': 1995837701917205376728437068354126289, 'val': 1}
  • id: 4288907
    {'lmfdb_iso': '83205.q', 'p': 89, 'prec': 20, 'unit': 3213429012362299861522188872615837564, 'val': 1}
  • id: 4288892
    {'lmfdb_iso': '83205.q', 'p': 97, 'prec': 20, 'unit': 12094160325864489425917865982129261840, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 547935
    {'Ciso': '83205h', 'Clabel': '83205h2', 'Cnumber': 2, 'abc_quality': 1.039530634741416, 'absD': 24654797460564609375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2580, 'ainvs': [1, -1, 0, -2311254969, 42768672254658], 'analytic_rank': 1, 'bad_primes': [3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 83205, 'degree': 33116160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7118315076624015942347036835', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [8000051600110940079507, 144453125], 'lmfdb_iso': '83205.q', 'lmfdb_label': '83205.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1250003, -537603588], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.a.1', '516.6.0.?', '860.6.0.?', '2580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4906166943167232393130893044', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27735], [3, 6, 9245], [5, 6, 16641], [7, 2, 16641], [43, 968, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5565783776485929596494711176', 'prec': 100}, 'szpiro_ratio': 6.734605887760381, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 547934
    {'Ciso': '83205h', 'Clabel': '83205h1', 'Cnumber': 1, 'abc_quality': 1.0105787079571165, 'absD': 44794326781549072265625, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2580, 'ainvs': [1, -1, 0, -144458094, 668242332783], 'analytic_rank': 1, 'bad_primes': [3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 83205, 'degree': 16558080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3652579173824289395260876227', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [1953326569433829507, 262451171875], 'lmfdb_iso': '83205.q', 'lmfdb_label': '83205.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -78128, -8384838], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '258.6.0.?', '860.6.0.?', '2580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7453083471583616196565446522', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5547], [3, 6, 9245], [5, 6, 16641], [7, 2, 16641], [43, 968, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2100047873686203049408550568', 'prec': 100}, 'szpiro_ratio': 6.0004172242133205, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}