Elliptic curve isogeny class data - 7650.bk

Formats: - HTML - YAML - JSON - 2024-12-27T03:02:40.067681

• 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, 0, 1, 0, 0, -3, 1, 0, 0, 3, 0, -4, -3, 0, 1, 1, 0, -5, 0], 'aplist': [1, 0, 0, -3, 3, -4, 1, -5, 4, 0, 7, -3, -2, 1, 3, -11, 0, 2, -13, -2, 6, -5, -16, 10, 2], 'class_deg': 5, 'class_size': 2, 'conductor': 7650, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '7650.bk', 'trace_hash': 713474481055961468}
• ec_padic •

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

  
  
  • id: 312072
    {'lmfdb_iso': '7650.bk', 'p': 7, 'prec': 20, 'unit': 744241424642647, 'val': 1}
  • id: 312077
    {'lmfdb_iso': '7650.bk', 'p': 11, 'prec': 20, 'unit': 4942964804869084272, 'val': 2}
  • id: 312075
    {'lmfdb_iso': '7650.bk', 'p': 13, 'prec': 20, 'unit': 1135515394209651084511, 'val': 1}
  • id: 312078
    {'lmfdb_iso': '7650.bk', 'p': 19, 'prec': 20, 'unit': 1770332565857398716823099, 'val': 1}
  • id: 312081
    {'lmfdb_iso': '7650.bk', 'p': 23, 'prec': 20, 'unit': 66451165534686427725558514, 'val': 1}
  • id: 312086
    {'lmfdb_iso': '7650.bk', 'p': 31, 'prec': 20, 'unit': 6549045991193745078828156593, 'val': 1}
  • id: 312071
    {'lmfdb_iso': '7650.bk', 'p': 37, 'prec': 20, 'unit': 448082586410519773519005134045, 'val': 1}
  • id: 312073
    {'lmfdb_iso': '7650.bk', 'p': 41, 'prec': 20, 'unit': 1221185500454169135521214832467, 'val': 1}
  • id: 312074
    {'lmfdb_iso': '7650.bk', 'p': 43, 'prec': 20, 'unit': 210190520374629762822958658983026, 'val': -1}
  • id: 312076
    {'lmfdb_iso': '7650.bk', 'p': 47, 'prec': 20, 'unit': 417382351808001393436451505554, 'val': 1}
  • id: 312079
    {'lmfdb_iso': '7650.bk', 'p': 53, 'prec': 20, 'unit': 414988870262531985269526154129879, 'val': 1}
  • id: 312085
    {'lmfdb_iso': '7650.bk', 'p': 61, 'prec': 20, 'unit': 5829223314612954112573185526915112, 'val': 1}
  • id: 312070
    {'lmfdb_iso': '7650.bk', 'p': 67, 'prec': 20, 'unit': 13589027087244040494533588396936740, 'val': 1}
  • id: 312083
    {'lmfdb_iso': '7650.bk', 'p': 71, 'prec': 20, 'unit': 126304378328082067863058625425126542, 'val': 1}
  • id: 312080
    {'lmfdb_iso': '7650.bk', 'p': 73, 'prec': 20, 'unit': 250821839812563234423687245759640582, 'val': 1}
  • id: 312084
    {'lmfdb_iso': '7650.bk', 'p': 79, 'prec': 20, 'unit': 95958792210278009975394362168780460, 'val': 1}
  • id: 312069
    {'lmfdb_iso': '7650.bk', 'p': 83, 'prec': 20, 'unit': 1987521250850377905949804605765776736, 'val': 1}
  • id: 312082
    {'lmfdb_iso': '7650.bk', 'p': 89, 'prec': 20, 'unit': 2571284046866348164542960427801337904, 'val': 1}
  • id: 312068
    {'lmfdb_iso': '7650.bk', 'p': 97, 'prec': 20, 'unit': 27708291988842272979331593696800606659, '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: 49151
    {'Ciso': '7650cp', 'Clabel': '7650cp2', 'Cnumber': 2, 'abc_quality': 1.116674340467024, 'absD': 3144042599737500000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, -1, 1, -366305, -1824303], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 7650, 'degree': 144000, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2388152226612750457149984491', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 36, 'isogeny_degrees': [1, 5], 'jinv': [19088138515945, 11040808032], 'lmfdb_iso': '7650.bk', 'lmfdb_label': '7650.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1628, 432], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '15.24.0-5.a.1.2', '408.2.0.?', '680.24.0.?', '2040.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18210669728885925580558403007', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3825], [3, 8, 850], [5, 14, 9], [17, 18, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61655047003781995028353627515', 'prec': 103}, 'szpiro_ratio': 5.596587525402366, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 49150
    {'Ciso': '7650cp', 'Clabel': '7650cp1', 'Cnumber': 1, 'abc_quality': 1.0232424803525193, 'absD': 46473750, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, -1, 1, -248630, 47779647], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 7650, 'degree': 28800, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4340962664442248584146187825', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 5], 'jinv': [3730569358698025, 102], 'lmfdb_iso': '7650.bk', 'lmfdb_label': '7650.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -27625, -1778825], 'min_quad_twist_disc': -3, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '15.24.0-5.a.2.2', '408.2.0.?', '680.24.0.?', '2040.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.91053348644429627902792015034', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3825], [3, 8, 850], [5, 14, 306], [17, 18, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34831081796546988785007638630', 'prec': 103}, 'szpiro_ratio': 5.466589459186584, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}