Elliptic curve isogeny class data - 69696.dd

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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, 0, 0, -2, 0, 0, 0, 0, 0, -6, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 0, 0, -2, 0, -6, -6, 2, 8, -2, 4, -2, -10, 6, -4, 4, -4, -2, -8, 12, 2, 14, -4, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 69696, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '69696.dd', 'trace_hash': 495235585863171175}
• ec_padic •

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

  
  
  • id: 3570627
    {'lmfdb_iso': '69696.dd', 'p': 7, 'prec': 20, 'unit': 10330747598332361, 'val': 1}
  • id: 3570631
    {'lmfdb_iso': '69696.dd', 'p': 13, 'prec': 20, 'unit': 1319324389800145839794, 'val': 1}
  • id: 3570633
    {'lmfdb_iso': '69696.dd', 'p': 17, 'prec': 20, 'unit': 150211460143332193215590, 'val': 1}
  • id: 3570634
    {'lmfdb_iso': '69696.dd', 'p': 19, 'prec': 20, 'unit': 1657148372618818696705212, 'val': 1}
  • id: 3570638
    {'lmfdb_iso': '69696.dd', 'p': 23, 'prec': 20, 'unit': 65570966861957035849939025, 'val': 1}
  • id: 3570630
    {'lmfdb_iso': '69696.dd', 'p': 29, 'prec': 20, 'unit': 546695574252984191936944527, 'val': 1}
  • id: 3570642
    {'lmfdb_iso': '69696.dd', 'p': 31, 'prec': 20, 'unit': 12137470508690439822056061164, 'val': 1}
  • id: 3570626
    {'lmfdb_iso': '69696.dd', 'p': 37, 'prec': 20, 'unit': 181135698695858609609819068781, 'val': 1}
  • id: 3570628
    {'lmfdb_iso': '69696.dd', 'p': 41, 'prec': 20, 'unit': 402580324778759301600538480351, 'val': 1}
  • id: 3570629
    {'lmfdb_iso': '69696.dd', 'p': 43, 'prec': 20, 'unit': 7593710637205996788745146485820, 'val': 1}
  • id: 3570640
    {'lmfdb_iso': '69696.dd', 'p': 47, 'prec': 20, 'unit': 18778255631899309152372997808302, 'val': 1}
  • id: 3570635
    {'lmfdb_iso': '69696.dd', 'p': 53, 'prec': 20, 'unit': 297986182695788317265617092408002, 'val': 1}
  • id: 3570636
    {'lmfdb_iso': '69696.dd', 'p': 59, 'prec': 20, 'unit': 1150783759332614515179994044049201, 'val': 1}
  • id: 3570641
    {'lmfdb_iso': '69696.dd', 'p': 61, 'prec': 20, 'unit': 3965916405228267480957409470627755, 'val': 1}
  • id: 3570625
    {'lmfdb_iso': '69696.dd', 'p': 67, 'prec': 20, 'unit': 35923040706578316178489974318251742, 'val': 1}
  • id: 3570639
    {'lmfdb_iso': '69696.dd', 'p': 71, 'prec': 20, 'unit': 107612916972950388607227493492100077, 'val': 1}
  • id: 3570637
    {'lmfdb_iso': '69696.dd', 'p': 73, 'prec': 20, 'unit': 127865975989547474419593418755089438, 'val': 1}
  • id: 3570632
    {'lmfdb_iso': '69696.dd', 'p': 79, 'prec': 20, 'unit': 497843595907898810461964497431667273, 'val': 1}
  • id: 3570624
    {'lmfdb_iso': '69696.dd', 'p': 83, 'prec': 20, 'unit': 1874754579152493787276775928907405183, 'val': 1}
  • id: 3570623
    {'lmfdb_iso': '69696.dd', 'p': 97, 'prec': 20, 'unit': 16757063198762833974761562092056924432, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 461032
    {'Ciso': '69696eh', 'Clabel': '69696eh2', 'Cnumber': 2, 'abc_quality': 1.1545407663950151, 'absD': 276511185615126528, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, -326700, 67274064], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 69696, 'degree': 737280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0935876873009760184224953478', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2], 'jinv': [1687500, 121], 'lmfdb_iso': '69696.dd', 'lmfdb_label': '69696.dd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -675, 6318], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '44.6.0.e.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8774794744023282541239347984', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85351540634588526804455319749', 'prec': 107}, 'szpiro_ratio': 4.456998701570366, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 461031
    {'Ciso': '69696eh', 'Clabel': '69696eh1', 'Cnumber': 1, 'abc_quality': 0.8325981364668273, 'absD': 6284345127616512, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, -65340, -5174928], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 69696, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7470140970210033637138792871', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2], 'jinv': [54000, 11], 'lmfdb_iso': '69696.dd', 'lmfdb_label': '69696.dd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -135, -486], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '44.6.0.e.1', '66.6.0.a.1', '132.12.0.?'], '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': '3.7549589488046565082478695969', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0845644665325337045169639046', 'prec': 103}, 'szpiro_ratio': 4.024039787492595, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}