Elliptic curve isogeny class data - 4275.k

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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, 0, -1, 0, 0, -2, -3, 0, 0, 2, 0, 2, -2, 0, -1, 2, 0, 1, 0], 'aplist': [1, 0, 0, -2, 2, 2, 2, 1, 0, -6, -4, -2, 2, 10, 0, -10, 0, -10, 4, -8, -4, -8, -12, 10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 4275, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4275.k', 'trace_hash': 2002546895910822902}
• ec_padic •

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

  
  
  • id: 151702
    {'lmfdb_iso': '4275.k', 'p': 7, 'prec': 20, 'unit': 10953969172324686, 'val': 1}
  • id: 151700
    {'lmfdb_iso': '4275.k', 'p': 11, 'prec': 20, 'unit': 14051697636757308453, 'val': 1}
  • id: 151706
    {'lmfdb_iso': '4275.k', 'p': 13, 'prec': 20, 'unit': 1210173533351430641881, 'val': 1}
  • id: 151708
    {'lmfdb_iso': '4275.k', 'p': 17, 'prec': 20, 'unit': 86240707990837792973529, 'val': 1}
  • id: 151705
    {'lmfdb_iso': '4275.k', 'p': 29, 'prec': 20, 'unit': 4538034306876354922567523307, 'val': 1}
  • id: 151715
    {'lmfdb_iso': '4275.k', 'p': 31, 'prec': 20, 'unit': 4827395574840421190358907467, 'val': 1}
  • id: 151701
    {'lmfdb_iso': '4275.k', 'p': 37, 'prec': 20, 'unit': 244937044500411573433766066105, 'val': 1}
  • id: 151703
    {'lmfdb_iso': '4275.k', 'p': 41, 'prec': 20, 'unit': 223152898150348482765235586669, 'val': 1}
  • id: 151704
    {'lmfdb_iso': '4275.k', 'p': 43, 'prec': 20, 'unit': 6872206448862036554774512861935, 'val': 1}
  • id: 151710
    {'lmfdb_iso': '4275.k', 'p': 53, 'prec': 20, 'unit': 353088228108103005061235531570325, 'val': 1}
  • id: 151714
    {'lmfdb_iso': '4275.k', 'p': 61, 'prec': 20, 'unit': 2915900019044024619584468741400510, 'val': 1}
  • id: 151699
    {'lmfdb_iso': '4275.k', 'p': 67, 'prec': 20, 'unit': 10457494816998551916123582604900064, 'val': 1}
  • id: 151713
    {'lmfdb_iso': '4275.k', 'p': 71, 'prec': 20, 'unit': 17067225793067996410867297134826959, 'val': 1}
  • id: 151711
    {'lmfdb_iso': '4275.k', 'p': 73, 'prec': 20, 'unit': 65595504822447062477867150809546024, 'val': 1}
  • id: 151707
    {'lmfdb_iso': '4275.k', 'p': 79, 'prec': 20, 'unit': 300524978333820409158234418573322920, 'val': 1}
  • id: 151709
    {'lmfdb_iso': '4275.k', 'p': 83, 'prec': 20, 'unit': 2706345846398115821303005605999135594, 'val': 1}
  • id: 151712
    {'lmfdb_iso': '4275.k', 'p': 89, 'prec': 20, 'unit': 1979699346197140941693446481442561962, 'val': 1}
  • id: 151698
    {'lmfdb_iso': '4275.k', 'p': 97, 'prec': 20, 'unit': 26296851452268124565044471586532402965, '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: 26138
    {'Ciso': '4275b', 'Clabel': '4275b2', 'Cnumber': 2, 'abc_quality': 1.0699890694347882, 'absD': 46747125, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -13677, -612244], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4275, 'degree': 3072, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87244673821045264624824104611', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [115003963647, 19], 'lmfdb_iso': '4275.k', 'lmfdb_label': '4275.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1520, 23182], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '76.6.0.?', '570.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6080924655842412356626698903', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 2, 475], [5, 10, 171], [19, 20, 225]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35387195639915471594838271489', 'prec': 107}, 'szpiro_ratio': 4.806395249577515, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 26137
    {'Ciso': '4275b', 'Clabel': '4275b1', 'Cnumber': 1, 'abc_quality': 1.005333352881482, 'absD': 888195375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -852, -9469], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4275, 'degree': 1536, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.52587314793047999153962498538', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [-27818127, 361], 'lmfdb_iso': '4275.k', 'lmfdb_label': '4275.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -95, 382], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8040462327921206178313349451', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 2, 475], [5, 10, 171], [19, 20, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70044554667912737065699877562', 'prec': 107}, 'szpiro_ratio': 3.8130553639767246, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}