Elliptic curve isogeny class data - 6050.bj

Formats: - HTML - YAML - JSON - 2025-09-30T02:47:41.149115

• 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, 1, 1, 0, 1, 3, 1, -2, 0, 0, 1, -6, 3, 0, 1, -7, -2, -5, 0], 'aplist': [1, 1, 0, 3, 0, -6, -7, -5, 6, -5, -3, -3, -2, 4, 2, 1, -10, -7, -8, 7, 14, -10, -6, -15, 12], 'class_deg': 5, 'class_size': 2, 'conductor': 6050, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '6050.bj', 'trace_hash': 419770658022795073}
• ec_padic •

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

  
  
  • id: 234456
    {'lmfdb_iso': '6050.bj', 'p': 7, 'prec': 20, 'unit': 2675977696619725, 'val': 1}
  • id: 234460
    {'lmfdb_iso': '6050.bj', 'p': 13, 'prec': 20, 'unit': 1141463731444600374786, 'val': 1}
  • id: 234462
    {'lmfdb_iso': '6050.bj', 'p': 17, 'prec': 20, 'unit': 84087731742203931488980, 'val': 1}
  • id: 234463
    {'lmfdb_iso': '6050.bj', 'p': 19, 'prec': 20, 'unit': 1110617111854291808440637, 'val': 1}
  • id: 234467
    {'lmfdb_iso': '6050.bj', 'p': 23, 'prec': 20, 'unit': 24921308917467837549895529, 'val': 1}
  • id: 234459
    {'lmfdb_iso': '6050.bj', 'p': 29, 'prec': 20, 'unit': 4645510079060940469436465167, 'val': 1}
  • id: 234472
    {'lmfdb_iso': '6050.bj', 'p': 31, 'prec': 20, 'unit': 1618630826494917980301412196, 'val': 1}
  • id: 234455
    {'lmfdb_iso': '6050.bj', 'p': 37, 'prec': 20, 'unit': 590919050514774079846672621599, 'val': 1}
  • id: 234457
    {'lmfdb_iso': '6050.bj', 'p': 41, 'prec': 20, 'unit': 632508644054449734122174113265, 'val': 1}
  • id: 234458
    {'lmfdb_iso': '6050.bj', 'p': 43, 'prec': 20, 'unit': 8775914279218041089403440794622, 'val': 1}
  • id: 234470
    {'lmfdb_iso': '6050.bj', 'p': 47, 'prec': 20, 'unit': 51727012162179726876185540590649, 'val': 1}
  • id: 234464
    {'lmfdb_iso': '6050.bj', 'p': 53, 'prec': 20, 'unit': 19520570447769684569383989981258609, 'val': -1}
  • id: 234465
    {'lmfdb_iso': '6050.bj', 'p': 59, 'prec': 20, 'unit': 179338971129524283926418381800243, 'val': 1}
  • id: 234471
    {'lmfdb_iso': '6050.bj', 'p': 61, 'prec': 20, 'unit': 5650033218904533247341840434454130, 'val': 1}
  • id: 234454
    {'lmfdb_iso': '6050.bj', 'p': 67, 'prec': 20, 'unit': 13841179162159657998592179352998833, 'val': 1}
  • id: 234469
    {'lmfdb_iso': '6050.bj', 'p': 71, 'prec': 20, 'unit': 32691054344629466678029840889620827, 'val': 1}
  • id: 234466
    {'lmfdb_iso': '6050.bj', 'p': 73, 'prec': 20, 'unit': 204512301112464890591846501258157216, 'val': 1}
  • id: 234461
    {'lmfdb_iso': '6050.bj', 'p': 79, 'prec': 20, 'unit': 890613333617535349982228974360998551, 'val': 1}
  • id: 234453
    {'lmfdb_iso': '6050.bj', 'p': 83, 'prec': 20, 'unit': 1999647342918880206276503052985177922, 'val': 1}
  • id: 234468
    {'lmfdb_iso': '6050.bj', 'p': 89, 'prec': 20, 'unit': 203751071413389406387097381443135054, 'val': 1}
  • id: 234452
    {'lmfdb_iso': '6050.bj', 'p': 97, 'prec': 20, 'unit': 21064811651678111988946769392147619371, '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
  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[]

  
  
  • id: 38082
    {'Ciso': '6050z', 'Clabel': '6050z2', 'Cnumber': 2, 'abc_quality': 1.0129363433875729, 'absD': 44579948532968750, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [1, 0, 0, -17968563, 29315410367], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 6050, 'degree': 288000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6487421733790569495196387461', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 35, 'isogeny_degrees': [1, 5], 'jinv': [-23178622194826561, 1610510], 'lmfdb_iso': '6050.bj', 'lmfdb_label': '6050.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5940, -178685], 'min_quad_twist_disc': -55, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '40.24.0-5.a.2.7', '55.24.0-5.a.2.2', '440.48.1.?'], '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': '3.1607323063663754346948774355', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [5, 18, 242], [11, 72, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64507558076282149018828729051', 'prec': 103}, 'szpiro_ratio': 7.0885769041134905, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 38081
    {'Ciso': '6050z', 'Clabel': '6050z1', 'Cnumber': 1, 'abc_quality': 0.9443840180226643, 'absD': 30448704687500000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [1, 0, 0, 30187, 8151617], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 6050, 'degree': 57600, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8440232171620067622192590795', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1, 5], 'jinv': [109902239, 1100000], 'lmfdb_iso': '6050.bj', 'lmfdb_label': '6050.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -45], 'min_quad_twist_disc': -55, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '40.24.0-5.a.1.7', '55.24.0-5.a.1.2', '440.48.1.?'], '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': '0.63214646127327508693897548710', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [5, 14, 121], [11, 72, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15964337545422869711209237609', 'prec': 107}, 'szpiro_ratio': 5.207964286233947, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}