Elliptic curve isogeny class data - 4560.w

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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, 1, 0, 1, 0, -4, 0, 1, 0, -4, 0, 2, 0, 1, 0, 2, 0, 1, 0], 'aplist': [0, 1, 1, -4, -4, 2, 2, 1, 4, -2, 0, -6, -6, -8, 12, -14, -4, 14, 4, 0, -14, -16, 0, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4560.w', 'trace_hash': 837783030744650886}
• ec_padic •

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

  
  
  • id: 164333
    {'lmfdb_iso': '4560.w', 'p': 7, 'prec': 20, 'unit': 4907117923867463, 'val': 1}
  • id: 164331
    {'lmfdb_iso': '4560.w', 'p': 11, 'prec': 20, 'unit': 5510842613807474773, 'val': 1}
  • id: 164337
    {'lmfdb_iso': '4560.w', 'p': 13, 'prec': 20, 'unit': 836393831055301168398, 'val': 1}
  • id: 164339
    {'lmfdb_iso': '4560.w', 'p': 17, 'prec': 20, 'unit': 58950458427014630671754, 'val': 1}
  • id: 164344
    {'lmfdb_iso': '4560.w', 'p': 23, 'prec': 20, 'unit': 46625110565406426731218312, 'val': 1}
  • id: 164336
    {'lmfdb_iso': '4560.w', 'p': 29, 'prec': 20, 'unit': 4613013535063145023011250346, 'val': 1}
  • id: 164332
    {'lmfdb_iso': '4560.w', 'p': 37, 'prec': 20, 'unit': 440812269812118616430446957671, 'val': 1}
  • id: 164334
    {'lmfdb_iso': '4560.w', 'p': 41, 'prec': 20, 'unit': 1078161947818976744129127678359, 'val': 1}
  • id: 164335
    {'lmfdb_iso': '4560.w', 'p': 43, 'prec': 20, 'unit': 500130516978313236800315490513, 'val': 1}
  • id: 164346
    {'lmfdb_iso': '4560.w', 'p': 47, 'prec': 20, 'unit': 1579539631319096273951582654035, 'val': 1}
  • id: 164341
    {'lmfdb_iso': '4560.w', 'p': 53, 'prec': 20, 'unit': 457332617184166741004930000881743, 'val': 1}
  • id: 164342
    {'lmfdb_iso': '4560.w', 'p': 59, 'prec': 20, 'unit': 1095929321968385393898997384175288, 'val': 1}
  • id: 164347
    {'lmfdb_iso': '4560.w', 'p': 61, 'prec': 20, 'unit': 100980023806603366208468679661910, 'val': 1}
  • id: 164340
    {'lmfdb_iso': '4560.w', 'p': 67, 'prec': 20, 'unit': 38953652214652852400945221266597893, 'val': 1}
  • id: 164343
    {'lmfdb_iso': '4560.w', 'p': 73, 'prec': 20, 'unit': 192331965680599296087794244477987205, 'val': 1}
  • id: 164338
    {'lmfdb_iso': '4560.w', 'p': 79, 'prec': 20, 'unit': 560077261108627607490869793076131580, 'val': 1}
  • id: 164345
    {'lmfdb_iso': '4560.w', 'p': 89, 'prec': 20, 'unit': 2525031413602421130744263256805033187, 'val': 1}
  • id: 164330
    {'lmfdb_iso': '4560.w', 'p': 97, 'prec': 20, 'unit': 51782364531250054179892023643237724058, '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: 28113
    {'Ciso': '4560bd', 'Clabel': '4560bd4', 'Cnumber': 4, 'abc_quality': 1.0982581996716574, 'absD': 600519168000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 1, 0, -96120, 11438100], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 18432, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4472860353867993088495482824', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [23977812996389881, 146611125], 'lmfdb_iso': '4560.w', 'lmfdb_label': '4560.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6007, -181724], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '10.6.0.a.1', '20.24.0-20.g.1.2', '152.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85351992878046411382019336453', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 4, 304], [5, 6, 912], [19, 20, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616094', 'prec': 97}, 'szpiro_ratio': 5.463886748419638, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 28112
    {'Ciso': '4560bd', 'Clabel': '4560bd3', 'Cnumber': 3, 'abc_quality': 0.9810006384698988, 'absD': 171000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 1, 0, -19800, -875052], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 18432, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4472860353867993088495482824', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [209595169258201, 41748046875], 'lmfdb_iso': '4560.w', 'lmfdb_label': '4560.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1237, 13054], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.z.1.12', '76.24.0.?', '760.48.0.?'], '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': '0.85351992878046411382019336453', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 304], [5, 6, 912], [19, 20, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616094', 'prec': 97}, 'szpiro_ratio': 4.901315532655469, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 28111
    {'Ciso': '4560bd', 'Clabel': '4560bd2', 'Cnumber': 2, 'abc_quality': 0.9556029786132598, 'absD': 1871424000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 380, 'ainvs': [0, 1, 0, -6120, 170100], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 9216, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1007124451068266541409322217', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [6189976379881, 456890625], 'lmfdb_iso': '4560.w', 'lmfdb_label': '4560.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -382, -2849], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '20.24.0-20.b.1.1', '76.24.0.?', '380.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42675996439023205691009668227', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 304], [5, 6, 912], [19, 20, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40756526454688134472370010024', 'prec': 97}, 'szpiro_ratio': 4.483248581267122, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 28110
    {'Ciso': '4560bd', 'Clabel': '4560bd1', 'Cnumber': 1, 'abc_quality': 0.9487490541305785, 'absD': 63825408000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 1, 0, 360, 11988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 4608, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616098', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [1256216039, 15582375], 'lmfdb_iso': '4560.w', 'lmfdb_label': '4560.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 23, -176], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '20.12.0-4.c.1.1', '40.24.0-40.z.1.2', '76.12.0.?', '152.24.0.?', '190.6.0.?', '380.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.21337998219511602845504834113', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 95], [3, 4, 304], [5, 6, 912], [19, 20, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.060991674266908690015084039522', 'prec': 97}, 'szpiro_ratio': 3.832173465573506, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}