Elliptic curve isogeny class data - 16704.cz

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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, 0, 0, 3, 0, 4, 0, 0, 0, -3, 0, -5, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 3, 4, -3, -5, 6, -4, -6, -1, -5, -8, 0, -1, -3, 3, -6, -2, 8, 6, -16, -11, -6, 12, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 16704, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '16704.cz', 'trace_hash': 1218878954033858874}
• ec_padic •

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

  
  
  • id: 759721
    {'lmfdb_iso': '16704.cz', 'p': 5, 'prec': 20, 'unit': 17032616462888, 'val': 1}
  • id: 759722
    {'lmfdb_iso': '16704.cz', 'p': 7, 'prec': 20, 'unit': 4906451966554112, 'val': 1}
  • id: 759720
    {'lmfdb_iso': '16704.cz', 'p': 11, 'prec': 20, 'unit': 27227839333914934687, 'val': 1}
  • id: 759726
    {'lmfdb_iso': '16704.cz', 'p': 13, 'prec': 20, 'unit': 178963374546111679700, 'val': 1}
  • id: 759728
    {'lmfdb_iso': '16704.cz', 'p': 17, 'prec': 20, 'unit': 152548138862559153261283, 'val': 1}
  • id: 759729
    {'lmfdb_iso': '16704.cz', 'p': 19, 'prec': 20, 'unit': 1053215675384891540593542, 'val': 1}
  • id: 759732
    {'lmfdb_iso': '16704.cz', 'p': 23, 'prec': 20, 'unit': 35473070756015862654883849, 'val': 1}
  • id: 759723
    {'lmfdb_iso': '16704.cz', 'p': 31, 'prec': 20, 'unit': 2511353079211568961215410811, 'val': 1}
  • id: 759738
    {'lmfdb_iso': '16704.cz', 'p': 37, 'prec': 20, 'unit': 35602481273223802142323953015, 'val': 1}
  • id: 759725
    {'lmfdb_iso': '16704.cz', 'p': 43, 'prec': 20, 'unit': 10501612349370924314381403772580, 'val': 1}
  • id: 759736
    {'lmfdb_iso': '16704.cz', 'p': 47, 'prec': 20, 'unit': 16947866472974967513891881768034, 'val': 1}
  • id: 759730
    {'lmfdb_iso': '16704.cz', 'p': 53, 'prec': 20, 'unit': 192517634033691554577614681194621, 'val': 1}
  • id: 759731
    {'lmfdb_iso': '16704.cz', 'p': 59, 'prec': 20, 'unit': 937058896814483214798528537975722, 'val': 1}
  • id: 759737
    {'lmfdb_iso': '16704.cz', 'p': 61, 'prec': 20, 'unit': 1158723197392465941171360178209070, 'val': 1}
  • id: 759719
    {'lmfdb_iso': '16704.cz', 'p': 67, 'prec': 20, 'unit': 33763291737397111283797534979346130, 'val': 1}
  • id: 759735
    {'lmfdb_iso': '16704.cz', 'p': 71, 'prec': 20, 'unit': 54146896150703069201366580956260308, 'val': 1}
  • id: 759724
    {'lmfdb_iso': '16704.cz', 'p': 73, 'prec': 20, 'unit': 60054980634830328793750052609427225, 'val': 1}
  • id: 759727
    {'lmfdb_iso': '16704.cz', 'p': 79, 'prec': 20, 'unit': 14188653449428404458211998898982901, 'val': 1}
  • id: 759733
    {'lmfdb_iso': '16704.cz', 'p': 83, 'prec': 20, 'unit': 2336497378118491881004496077954789515, 'val': 1}
  • id: 759734
    {'lmfdb_iso': '16704.cz', 'p': 89, 'prec': 20, 'unit': 10891867102703972745729836278507764946, 'val': 1}
  • id: 759718
    {'lmfdb_iso': '16704.cz', 'p': 97, 'prec': 20, 'unit': 46267656486038480743724618546370898573, '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: 110049
    {'Ciso': '16704cq', 'Clabel': '16704cq1', 'Cnumber': 1, 'abc_quality': 0.714215699712365, 'absD': 346374144, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 696, 'ainvs': [0, 0, 0, -156, 1168], 'analytic_rank': 1, 'bad_primes': [2, 3, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 16704, 'degree': 7680, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.33656011160363586181401836822', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 77, 'isogeny_degrees': [1, 3], 'jinv': [-35152, 29], 'lmfdb_iso': '16704.cz', 'lmfdb_label': '16704.cz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4, 4], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.3', '116.2.0.?', '348.8.0.?', '696.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1171296287071159137161222607', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 261], [3, 2, 1856], [29, 30, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0214177433836885115370417253', 'prec': 103}, 'szpiro_ratio': 2.8435765203901973, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 110050
    {'Ciso': '16704cq', 'Clabel': '16704cq2', 'Cnumber': 2, 'abc_quality': 0.8742214421492837, 'absD': 291300655104, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 696, 'ainvs': [0, 0, 0, 1284, -18992], 'analytic_rank': 1, 'bad_primes': [2, 3, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 16704, 'degree': 23040, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88586625593769070751164098668', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 77, 'isogeny_degrees': [1, 3], 'jinv': [19600688, 24389], 'lmfdb_iso': '16704.cz', 'lmfdb_label': '16704.cz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 36, -76], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '116.2.0.?', '348.8.0.?', '696.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3513888861213477411483667820', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 261], [3, 6, 64], [29, 30, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47211159904963366583941910682', 'prec': 107}, 'szpiro_ratio': 3.4171873874355945, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}