Elliptic curve isogeny class data - 121968.ez

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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, 2, 0, 1, 0, 0, 0, 0, 0, -6, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 2, 1, 0, -6, 2, 4, 0, -2, -8, 6, 10, -4, -8, -6, 4, 10, 12, 0, -2, 16, -4, -18, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 121968, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 2, 4, 2], [8, 4, 2, 1, 8, 4], [4, 2, 4, 8, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '121968.ez', 'trace_hash': 1609140265744091975}
• ec_padic •

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

  
  
  • id: 6379393
    {'lmfdb_iso': '121968.ez', 'p': 5, 'prec': 20, 'unit': 4140333062732, 'val': 1}
  • id: 6379398
    {'lmfdb_iso': '121968.ez', 'p': 13, 'prec': 20, 'unit': 1091288937585159588838, 'val': 1}
  • id: 6379400
    {'lmfdb_iso': '121968.ez', 'p': 17, 'prec': 20, 'unit': 122515762301646541284073, 'val': 1}
  • id: 6379401
    {'lmfdb_iso': '121968.ez', 'p': 19, 'prec': 20, 'unit': 915870397417198738748352, 'val': 1}
  • id: 6379397
    {'lmfdb_iso': '121968.ez', 'p': 29, 'prec': 20, 'unit': 4282490165828012546222785253, 'val': 1}
  • id: 6379394
    {'lmfdb_iso': '121968.ez', 'p': 31, 'prec': 20, 'unit': 97483462447295806707967522, 'val': 2}
  • id: 6379408
    {'lmfdb_iso': '121968.ez', 'p': 37, 'prec': 20, 'unit': 300703093246256545571380774389, 'val': 1}
  • id: 6379395
    {'lmfdb_iso': '121968.ez', 'p': 41, 'prec': 20, 'unit': 4383640098289769732971709816147, 'val': 1}
  • id: 6379396
    {'lmfdb_iso': '121968.ez', 'p': 43, 'prec': 20, 'unit': 4903403709853166454534767656062, 'val': 1}
  • id: 6379406
    {'lmfdb_iso': '121968.ez', 'p': 47, 'prec': 20, 'unit': 27148796214073843819906048379047, 'val': 1}
  • id: 6379402
    {'lmfdb_iso': '121968.ez', 'p': 53, 'prec': 20, 'unit': 393208363863916660164718556912319, 'val': 1}
  • id: 6379403
    {'lmfdb_iso': '121968.ez', 'p': 59, 'prec': 20, 'unit': 341155283361475948377155522260354, 'val': 1}
  • id: 6379407
    {'lmfdb_iso': '121968.ez', 'p': 61, 'prec': 20, 'unit': 3361344707784280705282746649933310, 'val': 1}
  • id: 6379392
    {'lmfdb_iso': '121968.ez', 'p': 67, 'prec': 20, 'unit': 42249825357138796633416683562478830, 'val': 1}
  • id: 6379404
    {'lmfdb_iso': '121968.ez', 'p': 73, 'prec': 20, 'unit': 172387388985714430385907018458355170, 'val': 1}
  • id: 6379399
    {'lmfdb_iso': '121968.ez', 'p': 79, 'prec': 20, 'unit': 41580252265261050806305659411901231, 'val': 1}
  • id: 6379391
    {'lmfdb_iso': '121968.ez', 'p': 83, 'prec': 20, 'unit': 2622447495729268569843526667227023821, 'val': 1}
  • id: 6379405
    {'lmfdb_iso': '121968.ez', 'p': 89, 'prec': 20, 'unit': 8485793423662181199031745454500512090, 'val': 1}
  • id: 6379390
    {'lmfdb_iso': '121968.ez', 'p': 97, 'prec': 20, 'unit': 8278582064215810955435734739646690041, '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: 796539
    {'Ciso': '121968fv', 'Clabel': '121968fv6', 'Cnumber': 6, 'abc_quality': 1.000218740479904, 'absD': 29396595420708139008, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, -78739419, 268928121418], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 121968, 'degree': 9830400, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0641909516799110639131249647', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [10206027697760497, 5557167], 'lmfdb_iso': '121968.ez', 'lmfdb_label': '121968.ez1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4519, -118810], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '24.24.0-8.n.1.7', '28.12.0.h.1', '48.48.0-48.e.2.9', '56.24.0.bj.1', '88.24.0.?', '112.48.0.?', '132.12.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.24.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.057797706562514189126050303', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62278999038672563676729843580', 'prec': 103}, 'szpiro_ratio': 5.64901911567908, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 796537
    {'Ciso': '121968fv', 'Clabel': '121968fv4', 'Cnumber': 4, 'abc_quality': 0.9546990293922524, 'absD': 307394028658515972096, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -4948779, 4152546970], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 121968, 'degree': 4915200, 'elladic_images': ['8.24.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7176173613999384092045089039', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 4], 'jinv': [2533811507137, 58110129], 'lmfdb_iso': '121968.ez', 'lmfdb_label': '121968.ez2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -284, -1924], 'min_quad_twist_disc': -132, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.5', '24.48.0-24.i.1.5', '28.24.0.c.1', '56.48.0-28.c.1.9', '88.48.0.?', '132.24.0.?', '168.96.0.?', '264.96.0.?', '616.96.0.?', '924.48.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0288988532812570945630251517', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27621640010675298205868237500', 'prec': 103}, 'szpiro_ratio': 4.940228682097921, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 796535
    {'Ciso': '121968fv', 'Clabel': '121968fv2', 'Cnumber': 2, 'abc_quality': 0.9267734643706906, 'absD': 13831319930456641536, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -679899, -120601910], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 121968, 'degree': 2457600, 'elladic_images': ['4.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3710437711199657544958928432', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 4], 'jinv': [6570725617, 2614689], 'lmfdb_iso': '121968.ez', 'lmfdb_label': '121968.ez3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -39, 36], 'min_quad_twist_disc': -132, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '24.48.0-24.i.2.32', '56.48.0-56.m.1.17', '88.48.0.?', '132.48.0.?', '168.96.0.?', '264.96.0.?', '616.96.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0144494266406285472815125759', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.070357190173219672649933685703', 'prec': 110}, 'szpiro_ratio': 4.4317670344270095, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 796534
    {'Ciso': '121968fv', 'Clabel': '121968fv1', 'Cnumber': 1, 'abc_quality': 0.9010925805464532, 'absD': 8553691979255808, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, -592779, -175609478], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 121968, 'degree': 1228800, 'elladic_images': ['8.24.0.56'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0244701808399930997872767825', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 1617], 'lmfdb_iso': '121968.ez', 'lmfdb_label': '121968.ez4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -34, 62], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.10', '48.48.0-48.e.1.10', '66.6.0.a.1', '112.48.0.?', '132.24.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0288988532812570945630251517', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41693078045319232735854974640', 'prec': 107}, 'szpiro_ratio': 4.396641957633044, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 796538
    {'Ciso': '121968fv', 'Clabel': '121968fv5', 'Cnumber': 5, 'abc_quality': 1.0676539350043504, 'absD': 71437396406179878531072, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, 539781, 12858500842], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 121968, 'degree': 9830400, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0641909516799110639131249647', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3288008303, 13504609503], 'lmfdb_iso': '121968.ez', 'lmfdb_label': '121968.ez5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 31, -5578], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '14.6.0.b.1', '16.24.0-8.n.1.8', '24.24.0.bz.2', '28.12.0.g.1', '48.48.0-24.bz.2.13', '56.24.0.bf.1', '88.24.0.?', '112.48.0.?', '132.12.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.24.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.057797706562514189126050303', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62278999038672563676729843580', 'prec': 103}, 'szpiro_ratio': 5.129796840493348, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 796536
    {'Ciso': '121968fv', 'Clabel': '121968fv3', 'Cnumber': 3, 'abc_quality': 0.9627759427597199, 'absD': 1006333307667466555392, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, 2195061, -873266438], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 121968, 'degree': 4915200, 'elladic_images': ['8.24.0.46'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7176173613999384092045089039', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [221115865823, 190238433], 'lmfdb_iso': '121968.ez', 'lmfdb_label': '121968.ez6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 126, 432], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.12', '24.48.0-24.bz.1.14', '88.48.0.?', '112.48.0.?', '132.24.0.?', '264.96.0.?', '336.96.0.?', '1232.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0288988532812570945630251517', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27621640010675298205868237500', 'prec': 103}, 'szpiro_ratio': 4.731989753301806, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}