Elliptic curve isogeny class data - 68354.f

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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, -3, 1, -1, -3, 1, 1, 6, -1, 1, -3, 1, 1, 3, 1, 4, 6, 6, -1], 'aplist': [1, -3, -1, 1, 1, 1, 4, 6, -4, 9, -3, -4, 0, -12, 6, 5, 4, 6, 12, -5, 4, 10, 0, -15, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 68354, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '68354.f', 'trace_hash': 1278107940876629968}
• ec_padic •

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

  
  
  • id: 3493868
    {'lmfdb_iso': '68354.f', 'p': 5, 'prec': 20, 'unit': 10888975140077, 'val': 1}
  • id: 3493869
    {'lmfdb_iso': '68354.f', 'p': 7, 'prec': 20, 'unit': 62589713352461535, 'val': 0}
  • id: 3493875
    {'lmfdb_iso': '68354.f', 'p': 17, 'prec': 20, 'unit': 199908667534627457676392, 'val': 1}
  • id: 3493876
    {'lmfdb_iso': '68354.f', 'p': 19, 'prec': 20, 'unit': 1473952913438967273451747, 'val': 1}
  • id: 3493879
    {'lmfdb_iso': '68354.f', 'p': 23, 'prec': 20, 'unit': 11892226238661691424248059, 'val': 1}
  • id: 3493873
    {'lmfdb_iso': '68354.f', 'p': 29, 'prec': 20, 'unit': 692207597506086721592544844, 'val': 1}
  • id: 3493870
    {'lmfdb_iso': '68354.f', 'p': 31, 'prec': 20, 'unit': 120031373623119743399804531, 'val': 1}
  • id: 3493884
    {'lmfdb_iso': '68354.f', 'p': 37, 'prec': 20, 'unit': 258640667182670865709943086607, 'val': 1}
  • id: 3493872
    {'lmfdb_iso': '68354.f', 'p': 43, 'prec': 20, 'unit': 5990579538559077691920989860557, 'val': 1}
  • id: 3493882
    {'lmfdb_iso': '68354.f', 'p': 47, 'prec': 20, 'unit': 43650733769125353963734781012864, 'val': 1}
  • id: 3493877
    {'lmfdb_iso': '68354.f', 'p': 53, 'prec': 20, 'unit': 523437000175717363151756484975165, 'val': 1}
  • id: 3493878
    {'lmfdb_iso': '68354.f', 'p': 59, 'prec': 20, 'unit': 804149389196689034342538253687937, 'val': 1}
  • id: 3493883
    {'lmfdb_iso': '68354.f', 'p': 61, 'prec': 20, 'unit': 4990019203220534541356574250301230, 'val': 1}
  • id: 3493867
    {'lmfdb_iso': '68354.f', 'p': 67, 'prec': 20, 'unit': 35244681320210532825567022631960977, 'val': 1}
  • id: 3493881
    {'lmfdb_iso': '68354.f', 'p': 71, 'prec': 20, 'unit': 119885836227965908351232933723788589, 'val': 1}
  • id: 3493871
    {'lmfdb_iso': '68354.f', 'p': 73, 'prec': 20, 'unit': 204445845842167512865874521651767208, 'val': 1}
  • id: 3493874
    {'lmfdb_iso': '68354.f', 'p': 79, 'prec': 20, 'unit': 231283846026962598819509451583048370, 'val': 1}
  • id: 3493880
    {'lmfdb_iso': '68354.f', 'p': 89, 'prec': 20, 'unit': 2499701747529049512511752893380897188, 'val': 1}
  • id: 3493866
    {'lmfdb_iso': '68354.f', 'p': 97, 'prec': 20, 'unit': 33168475777748801495195563772686145729, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 451722
    {'Ciso': '68354i', 'Clabel': '68354i2', 'Cnumber': 2, 'abc_quality': 1.0426823729346897, 'absD': 12739469393917574594, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 1913912, 'ainvs': [1, -1, 1, -550339173, -4969145682177], 'analytic_rank': 1, 'bad_primes': [2, 11, 13, 239], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 68354, 'degree': 21282464, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4142618253103543139004593712', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 7], 'jinv': [-18433805126765920887235189777569, 12739469393917574594], 'lmfdb_iso': '68354.f', 'lmfdb_label': '68354.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -550339173, -4969145682177], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '273416.2.0.?', '1913912.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '56.350133333631132339694356873', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 34177], [7, 2, 286], [11, 12, 6214], [13, 14, 5258], [239, 240, 286]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4142618253103543139004593712', 'prec': 100}, 'szpiro_ratio': 6.466833834879716, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 451721
    {'Ciso': '68354i', 'Clabel': '68354i1', 'Cnumber': 1, 'abc_quality': 1.0439895618089508, 'absD': 37407624743081250944, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 1913912, 'ainvs': [1, -1, 1, 621237, -226146597], 'analytic_rank': 1, 'bad_primes': [2, 11, 13, 239], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 68354, 'degree': 3040352, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4413067507826976613477829994', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 7], 'jinv': [26515285573583988393471, 37407624743081250944], 'lmfdb_iso': '68354.f', 'lmfdb_label': '68354.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 621237, -226146597], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '273416.2.0.?', '1913912.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.0500190476615903342420509819', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 34177], [7, 2, 239], [11, 12, 6214], [13, 14, 5258], [239, 240, 286]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4413067507826976613477829994', 'prec': 100}, 'szpiro_ratio': 4.670592232686477, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}