Elliptic curve isogeny class data - 51744.bm

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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, -2, 0, 0, 0, 1, 0, -1, 0, -5, 0, -2, 0, -4, 0, -5, 0], 'aplist': [0, 1, -2, 0, -1, -5, -4, -5, 6, -6, -11, -1, 8, -9, 0, -12, 2, -10, -13, 6, -1, 5, -2, -6, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 51744, 'isogeny_matrix': [[1]], 'lmfdb_iso': '51744.bm', 'trace_hash': 2133414940888571162}
• ec_padic •

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

  
  
  • id: 2604161
    {'lmfdb_iso': '51744.bm', 'p': 5, 'prec': 20, 'unit': 8002011001282, 'val': 1}
  • id: 2604167
    {'lmfdb_iso': '51744.bm', 'p': 13, 'prec': 20, 'unit': 280848510668507511562, 'val': 2}
  • id: 2604169
    {'lmfdb_iso': '51744.bm', 'p': 17, 'prec': 20, 'unit': 179706038813174175163850, 'val': 2}
  • id: 2604158
    {'lmfdb_iso': '51744.bm', 'p': 19, 'prec': 20, 'unit': 1183343634297513190623172, 'val': 2}
  • id: 2604173
    {'lmfdb_iso': '51744.bm', 'p': 23, 'prec': 20, 'unit': 10845257370101828789149018, 'val': 2}
  • id: 2604166
    {'lmfdb_iso': '51744.bm', 'p': 29, 'prec': 20, 'unit': 5285666669476613215863674772, 'val': 2}
  • id: 2604163
    {'lmfdb_iso': '51744.bm', 'p': 31, 'prec': 20, 'unit': 5929972347593363052814806552, 'val': 2}
  • id: 2604177
    {'lmfdb_iso': '51744.bm', 'p': 37, 'prec': 20, 'unit': 565368005800483833947125927874, 'val': 2}
  • id: 2604164
    {'lmfdb_iso': '51744.bm', 'p': 41, 'prec': 20, 'unit': 3893446498873901084398648106753, 'val': 2}
  • id: 2604165
    {'lmfdb_iso': '51744.bm', 'p': 43, 'prec': 20, 'unit': 4713091526299357959627519720100, 'val': 2}
  • id: 2604171
    {'lmfdb_iso': '51744.bm', 'p': 53, 'prec': 20, 'unit': 155862621297696538240775303229081, 'val': 2}
  • id: 2604175
    {'lmfdb_iso': '51744.bm', 'p': 59, 'prec': 20, 'unit': 1548973712155916307403717687713481, 'val': 2}
  • id: 2604176
    {'lmfdb_iso': '51744.bm', 'p': 61, 'prec': 20, 'unit': 2274045543701622379219450102429784, 'val': 2}
  • id: 2604160
    {'lmfdb_iso': '51744.bm', 'p': 67, 'prec': 20, 'unit': 16404548011185699484841283584001708, 'val': 2}
  • id: 2604162
    {'lmfdb_iso': '51744.bm', 'p': 71, 'prec': 20, 'unit': 147416143784393391293655381056988357, 'val': 2}
  • id: 2604172
    {'lmfdb_iso': '51744.bm', 'p': 73, 'prec': 20, 'unit': 79403024385809564793686535975402246, 'val': 2}
  • id: 2604168
    {'lmfdb_iso': '51744.bm', 'p': 79, 'prec': 20, 'unit': 468999443945466548178934679390431635, 'val': 2}
  • id: 2604170
    {'lmfdb_iso': '51744.bm', 'p': 83, 'prec': 20, 'unit': 54216501169826376372636344279355550, 'val': 2}
  • id: 2604174
    {'lmfdb_iso': '51744.bm', 'p': 89, 'prec': 20, 'unit': 8814168076331975183756380609223990026, 'val': 2}
  • id: 2604159
    {'lmfdb_iso': '51744.bm', 'p': 97, 'prec': 20, 'unit': 48377957288875582728509241314373609534, 'val': 2}
• 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[]

  
  {'Ciso': '51744z', 'Clabel': '51744z1', 'Cnumber': 1, 'abc_quality': 0.9817585260616956, 'absD': 694282009817088, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 1, 0, -1332669, 591707115], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 51744, 'degree': 725760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0830147329194391534609770752', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1], 'jinv': [-11085279718912, 29403], 'lmfdb_iso': '51744.bm', 'lmfdb_label': '51744.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -27197, -1717323], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 18, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.38014032552274533779511853317', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 17248], [5, 2, 17248], [7, 26, 1056], [11, 12, 4704]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.092594119655951640640176458112', 'prec': 107}, 'szpiro_ratio': 4.967880446966726, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}