Elliptic curve isogeny class data - 1568.g

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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, 2, 0, -2, 0, 0, 0, 1, 0, -4, 0, -6, 0, -4, 0, 4, 0, 6, 0], 'aplist': [0, 2, -2, 0, -4, -6, 4, 6, 4, -6, -4, -6, -4, -12, -12, 6, 6, 6, -12, -8, 0, 0, 6, 16, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 1568, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1568.g', 'trace_hash': 84293350722662382}
• ec_padic •

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

  
  
  • id: 41746
    {'lmfdb_iso': '1568.g', 'p': 5, 'prec': 20, 'unit': 5398071813839, 'val': 1}
  • id: 41745
    {'lmfdb_iso': '1568.g', 'p': 11, 'prec': 20, 'unit': 55870104307899218324, 'val': 1}
  • id: 41752
    {'lmfdb_iso': '1568.g', 'p': 13, 'prec': 20, 'unit': 77290707340497140340, 'val': 2}
  • id: 41754
    {'lmfdb_iso': '1568.g', 'p': 17, 'prec': 20, 'unit': 24958446388722454022760, 'val': 1}
  • id: 41755
    {'lmfdb_iso': '1568.g', 'p': 19, 'prec': 20, 'unit': 95818008838434352585260, 'val': 2}
  • id: 41757
    {'lmfdb_iso': '1568.g', 'p': 23, 'prec': 20, 'unit': 36276684748538563492982034, 'val': 1}
  • id: 41751
    {'lmfdb_iso': '1568.g', 'p': 29, 'prec': 20, 'unit': 4600401557476596035879635008, 'val': 1}
  • id: 41748
    {'lmfdb_iso': '1568.g', 'p': 31, 'prec': 20, 'unit': 21335912567809997435408312805, 'val': 1}
  • id: 41762
    {'lmfdb_iso': '1568.g', 'p': 37, 'prec': 20, 'unit': 385686963047863965293199879709, 'val': 1}
  • id: 41749
    {'lmfdb_iso': '1568.g', 'p': 41, 'prec': 20, 'unit': 3093693143251787610590609154854, 'val': 1}
  • id: 41750
    {'lmfdb_iso': '1568.g', 'p': 43, 'prec': 20, 'unit': 3924937797545227126472087252785, 'val': 1}
  • id: 41753
    {'lmfdb_iso': '1568.g', 'p': 47, 'prec': 20, 'unit': 3149307255563628762912226464551, 'val': 1}
  • id: 41756
    {'lmfdb_iso': '1568.g', 'p': 53, 'prec': 20, 'unit': 198908142545260214837442918411918, 'val': 1}
  • id: 41760
    {'lmfdb_iso': '1568.g', 'p': 59, 'prec': 20, 'unit': 2310236793980155230387943317280409, 'val': 1}
  • id: 41761
    {'lmfdb_iso': '1568.g', 'p': 61, 'prec': 20, 'unit': 1553813212371632442742653747863554, 'val': 1}
  • id: 41744
    {'lmfdb_iso': '1568.g', 'p': 67, 'prec': 20, 'unit': 16718503026842140328567286393141846, 'val': 1}
  • id: 41747
    {'lmfdb_iso': '1568.g', 'p': 71, 'prec': 20, 'unit': 23420273232554943943115748079425723, 'val': 1}
  • id: 41758
    {'lmfdb_iso': '1568.g', 'p': 83, 'prec': 20, 'unit': 623562424410861642583051299643188321, 'val': 1}
  • id: 41759
    {'lmfdb_iso': '1568.g', 'p': 89, 'prec': 20, 'unit': 10884982396471553104423429916780599404, 'val': 1}
  • id: 41743
    {'lmfdb_iso': '1568.g', 'p': 97, 'prec': 20, 'unit': 3392065766802733758862723035018153876, '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: 8511
    {'Ciso': '1568h', 'Clabel': '1568h2', 'Cnumber': 2, 'abc_quality': 0.9079782811805067, 'absD': 20661046784, 'adelic_genus': 3, 'adelic_index': 72, 'adelic_level': 168, 'ainvs': [0, -1, 0, -3544, 82104], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1568, 'degree': 1792, 'elladic_images': ['8.6.0.3', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83391425448014706714444602931', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [238328, 1], 'lmfdb_iso': '1568.g', 'lmfdb_label': '1568.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -72, -260], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '6.9.0.a.1', '8.6.0.e.1', '12.18.0.d.1', '24.36.0.be.1', '28.6.0.c.1', '56.12.0.bd.1', '84.36.1.?', '168.72.3.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4141204144816591030471625621', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [7, 20, 32]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1453787427312968937474926194', 'prec': 103}, 'szpiro_ratio': 4.910994647543686, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 8510
    {'Ciso': '1568h', 'Clabel': '1568h1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 2582630848, 'adelic_genus': 3, 'adelic_index': 72, 'adelic_level': 168, 'ainvs': [0, -1, 0, -114, 2528], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1568, 'degree': 896, 'elladic_images': ['8.6.0.3', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48734066420017441243582996858', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [-64, 1], 'lmfdb_iso': '1568.g', 'lmfdb_label': '1568.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2, -8], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '6.9.0.a.1', '8.6.0.e.1', '12.18.0.e.1', '14.6.0.b.1', '24.36.0.bf.1', '42.18.1.b.1', '56.12.0.bc.1', '84.36.1.?', '168.72.3.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7070602072408295515235812810', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7], [7, 20, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3186655378712832211018006497', 'prec': 103}, 'szpiro_ratio': 3.9637022432508227, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}