Elliptic curve isogeny class data - 52022.l

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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, 1, 1, 0, 1, -1, 1, -2, 0, -6, 1, -5, -1, 0, 1, -3, -2, -1, 0], 'aplist': [1, 1, 0, -1, -6, -5, -3, -1, -3, -9, 4, 0, 0, -8, 0, -3, -9, 10, 5, -6, -7, 10, -6, 12, 10], 'class_deg': 9, 'class_size': 3, 'conductor': 52022, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '52022.l', 'trace_hash': 236933351135825739}
• ec_padic •

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

  
  
  • id: 2619120
    {'lmfdb_iso': '52022.l', 'p': 7, 'prec': 20, 'unit': 788252247243693, 'val': 2}
  • id: 2619119
    {'lmfdb_iso': '52022.l', 'p': 11, 'prec': 20, 'unit': 51319897258298908862, 'val': 2}
  • id: 2619124
    {'lmfdb_iso': '52022.l', 'p': 13, 'prec': 20, 'unit': 66420871869400118361, 'val': 3}
  • id: 2619126
    {'lmfdb_iso': '52022.l', 'p': 17, 'prec': 20, 'unit': 113994497727924516676012, 'val': 2}
  • id: 2619129
    {'lmfdb_iso': '52022.l', 'p': 23, 'prec': 20, 'unit': 3392261029780506779989475, 'val': 2}
  • id: 2619123
    {'lmfdb_iso': '52022.l', 'p': 29, 'prec': 20, 'unit': 1250341653860200057468146923, 'val': 2}
  • id: 2619134
    {'lmfdb_iso': '52022.l', 'p': 31, 'prec': 20, 'unit': 3536308508498817322336729998, 'val': 2}
  • id: 2619122
    {'lmfdb_iso': '52022.l', 'p': 43, 'prec': 20, 'unit': 10803338326129446003757152391497, 'val': 2}
  • id: 2619128
    {'lmfdb_iso': '52022.l', 'p': 53, 'prec': 20, 'unit': 436845658830276600279721785953778, 'val': 2}
  • id: 2619132
    {'lmfdb_iso': '52022.l', 'p': 59, 'prec': 20, 'unit': 2663975184515585074093650418804480, 'val': 2}
  • id: 2619133
    {'lmfdb_iso': '52022.l', 'p': 61, 'prec': 20, 'unit': 7331592209735535848855687683007829, 'val': 2}
  • id: 2619118
    {'lmfdb_iso': '52022.l', 'p': 67, 'prec': 20, 'unit': 552451238609657959480784574077225, 'val': 3}
  • id: 2619131
    {'lmfdb_iso': '52022.l', 'p': 71, 'prec': 20, 'unit': 93164390206983465219486399632190079, 'val': 2}
  • id: 2619121
    {'lmfdb_iso': '52022.l', 'p': 73, 'prec': 20, 'unit': 184808638799256384531446459453346560, 'val': 2}
  • id: 2619125
    {'lmfdb_iso': '52022.l', 'p': 79, 'prec': 20, 'unit': 731328476959389248213878781228488603, 'val': 2}
  • id: 2619127
    {'lmfdb_iso': '52022.l', 'p': 83, 'prec': 20, 'unit': 674939298309503788672615140744608413, 'val': 2}
  • id: 2619130
    {'lmfdb_iso': '52022.l', 'p': 89, 'prec': 20, 'unit': 9211415880446106790051689905969491379, 'val': 2}
  • id: 2619117
    {'lmfdb_iso': '52022.l', 'p': 97, 'prec': 20, 'unit': 15449780077249541424173144238241954479, 'val': 2}
• 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: 345226
    {'Ciso': '52022i', 'Clabel': '52022i3', 'Cnumber': 3, 'abc_quality': 1.054621266416818, 'absD': 6542953416425996288, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 151848, 'ainvs': [1, 0, 0, -117078, -124039900], 'analytic_rank': 2, 'bad_primes': [2, 19, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 52022, 'degree': 933120, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2906285672793558031360097556', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3, 9], 'jinv': [-69173457625, 2550136832], 'lmfdb_iso': '52022.l', 'lmfdb_label': '52022.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86, -2456], 'min_quad_twist_disc': 37, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '111.8.0.?', '152.2.0.?', '171.36.0.?', '333.24.0.?', '456.8.0.?', '513.324.16.?', '999.72.0.?', '1368.72.3.?', '4104.648.43.?', '6327.72.0.?', '16872.16.0.?', '18981.648.16.?', '50616.144.3.?', '151848.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3171099038956644770590401398', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192008', 'prec': 103}, 'szpiro_ratio': 4.6775248241776515, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 345224
    {'Ciso': '52022i', 'Clabel': '52022i1', 'Cnumber': 1, 'abc_quality': 0.9328072208159958, 'absD': 389990414168, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 151848, 'ainvs': [1, 0, 0, -21248, 1190744], 'analytic_rank': 2, 'bad_primes': [2, 19, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 52022, 'degree': 103680, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1920162786112461117407645187', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3, 9], 'jinv': [-413493625, 152], 'lmfdb_iso': '52022.l', 'lmfdb_label': '52022.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16, 22], 'min_quad_twist_disc': 37, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '111.8.0.?', '152.2.0.?', '171.36.0.?', '333.24.0.?', '456.8.0.?', '513.324.16.?', '999.72.0.?', '1368.72.3.?', '4104.648.43.?', '6327.72.0.?', '16872.16.0.?', '18981.648.16.?', '50616.144.3.?', '151848.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3171099038956644770590401398', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61344267771086611044328331682', 'prec': 107}, 'szpiro_ratio': 3.82214589306372, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 345225
    {'Ciso': '52022i', 'Clabel': '52022i2', 'Cnumber': 2, 'abc_quality': 1.01874591611381, 'absD': 9010338528937472, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 151848, 'ainvs': [1, 0, 0, 12977, 4532473], 'analytic_rank': 2, 'bad_primes': [2, 19, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 52022, 'degree': 311040, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7413224229453009574383871371', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [94196375, 3511808], 'lmfdb_iso': '52022.l', 'lmfdb_label': '52022.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 9, 90], 'min_quad_twist_disc': 37, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '111.24.0.?', '152.2.0.?', '171.108.4.?', '333.72.0.?', '456.24.1.?', '513.324.16.?', '1368.216.13.?', '4104.648.43.?', '6327.216.4.?', '16872.48.1.?', '18981.648.16.?', '50616.432.13.?', '151848.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3171099038956644770590401398', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.064136533376811264745660698416', 'prec': 110}, 'szpiro_ratio': 4.068008857674627, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}