Elliptic curve isogeny class data - 4400.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, 0, -1, 0, 0, 0, 3, 0, -2, 0, -1, 0, -4, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, -1, 0, 3, -1, -4, -3, 5, 4, 5, -7, 7, -8, -6, 8, -9, 0, -13, -12, 3, 6, 0, 4, -15, 12], 'class_deg': 25, 'class_size': 3, 'conductor': 4400, 'isogeny_matrix': [[1, 25, 5], [25, 1, 5], [5, 5, 1]], 'lmfdb_iso': '4400.k', 'trace_hash': 963094440485534010}
• ec_padic •

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

  
  
  • id: 156647
    {'lmfdb_iso': '4400.k', 'p': 7, 'prec': 20, 'unit': 1007343183078055, 'val': 1}
  • id: 156651
    {'lmfdb_iso': '4400.k', 'p': 13, 'prec': 20, 'unit': 359424863923834629848, 'val': 1}
  • id: 156653
    {'lmfdb_iso': '4400.k', 'p': 17, 'prec': 20, 'unit': 169119923298463787197104, 'val': 1}
  • id: 156654
    {'lmfdb_iso': '4400.k', 'p': 19, 'prec': 20, 'unit': 1394853510868808535888364, 'val': 1}
  • id: 156657
    {'lmfdb_iso': '4400.k', 'p': 23, 'prec': 20, 'unit': 39283305596446800483003702, 'val': 1}
  • id: 156650
    {'lmfdb_iso': '4400.k', 'p': 29, 'prec': 20, 'unit': 1238856709266014173446679921, 'val': 1}
  • id: 156661
    {'lmfdb_iso': '4400.k', 'p': 31, 'prec': 20, 'unit': 14711610618534219003963009417, 'val': 1}
  • id: 156646
    {'lmfdb_iso': '4400.k', 'p': 37, 'prec': 20, 'unit': 365883967039488005110108939858, 'val': 1}
  • id: 156648
    {'lmfdb_iso': '4400.k', 'p': 41, 'prec': 20, 'unit': 9684658155984946277432091134, 'val': 2}
  • id: 156649
    {'lmfdb_iso': '4400.k', 'p': 43, 'prec': 20, 'unit': 877676433748616373838275888391, 'val': 1}
  • id: 156652
    {'lmfdb_iso': '4400.k', 'p': 47, 'prec': 20, 'unit': 41600048083966104209436035735066, 'val': 1}
  • id: 156655
    {'lmfdb_iso': '4400.k', 'p': 53, 'prec': 20, 'unit': 277410204330050646104184832142406, 'val': 1}
  • id: 156660
    {'lmfdb_iso': '4400.k', 'p': 61, 'prec': 20, 'unit': 1499162448915615779487638096396094, 'val': 1}
  • id: 156645
    {'lmfdb_iso': '4400.k', 'p': 67, 'prec': 20, 'unit': 40039022710957599442421556817310881, 'val': 1}
  • id: 156659
    {'lmfdb_iso': '4400.k', 'p': 71, 'prec': 20, 'unit': 14047899006510955331382174004840105, 'val': 1}
  • id: 156656
    {'lmfdb_iso': '4400.k', 'p': 73, 'prec': 20, 'unit': 151726650614625182799151592828832455, 'val': 1}
  • id: 156644
    {'lmfdb_iso': '4400.k', 'p': 83, 'prec': 20, 'unit': 200939063560803246219862394649534220, 'val': 1}
  • id: 156658
    {'lmfdb_iso': '4400.k', 'p': 89, 'prec': 20, 'unit': 10435621068078476927540547570393029348, 'val': 1}
  • id: 156643
    {'lmfdb_iso': '4400.k', 'p': 97, 'prec': 20, 'unit': 43145772194716794862322786042348715684, '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: 26959
    {'Ciso': '4400w', 'Clabel': '4400w3', 'Cnumber': 3, 'abc_quality': 1.0355690721710038, 'absD': 2952790016000000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [0, -1, 0, -12131208, -16259299088], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 4400, 'degree': 144000, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6809941977788599378142288295', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 5, 25], 'jinv': [-24680042791780949, 369098752], 'lmfdb_iso': '4400.k', 'lmfdb_label': '4400.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -30328, 2020281], 'min_quad_twist_disc': -20, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '20.24.0-5.a.1.1', '25.60.0.a.1', '100.120.0.?', '275.300.12.?', '440.48.1.?', '1100.600.12.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.872822473433199445554771471', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 14, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78076858289333934744642720812', 'prec': 103}, 'szpiro_ratio': 7.21717816957686, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 26957
    {'Ciso': '4400w', 'Clabel': '4400w1', 'Cnumber': 1, 'abc_quality': 1.0648872065191846, 'absD': 176000000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [0, -1, 0, -11208, 460912], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 4400, 'degree': 5760, 'elladic_images': ['25.60.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0715562853447595632134694962', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 5, 25], 'jinv': [-19465109, 22], 'lmfdb_iso': '4400.k', 'lmfdb_label': '4400.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -28, -69], 'min_quad_twist_disc': -20, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '20.24.0-5.a.2.1', '25.60.0.a.2', '100.120.0.?', '275.300.12.?', '440.48.1.?', '1100.600.12.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.79491289893732797782219085883', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 14, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.82866932954076102715433212518', 'prec': 107}, 'szpiro_ratio': 4.718928916577655, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 26958
    {'Ciso': '4400w', 'Clabel': '4400w2', 'Cnumber': 2, 'abc_quality': 1.0570897476931809, 'absD': 41229056000000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [0, -1, 0, 78792, -4819088], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 4400, 'degree': 28800, 'elladic_images': ['5.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8762752415618097505138491629', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 5], 'jinv': [6761990971, 5153632], 'lmfdb_iso': '4400.k', 'lmfdb_label': '4400.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 197, 681], 'min_quad_twist_disc': -20, 'modell_images': ['5Cs.4.1'], 'modm_images': ['5.60.0.a.1', '20.120.0-5.a.1.1', '275.300.12.?', '440.240.5.?', '1100.600.12.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9745644946866398891109542941', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 14, 16], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.023950373323710839853952458478', 'prec': 110}, 'szpiro_ratio': 5.4160617210371145, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}