Elliptic curve isogeny class data - 5160.j

Formats: - HTML - YAML - JSON - 2025-09-21T14:53:30.504986

• 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, -2, 0, 1, 0, -3, 0, 3, 0, -1, 0, 1, 0, -2, 0], 'aplist': [0, 1, -1, -2, -3, 3, 1, -2, 1, 0, 9, -12, 1, 1, 8, -5, 12, -12, -13, -6, -8, -8, -3, -10, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 5160, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5160.j', 'trace_hash': 1572523996072567682}
• ec_padic •

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

  
  
  • id: 190640
    {'lmfdb_iso': '5160.j', 'p': 7, 'prec': 20, 'unit': 105751612322369, 'val': 3}
  • id: 190642
    {'lmfdb_iso': '5160.j', 'p': 11, 'prec': 20, 'unit': 31041646268366650635, 'val': 1}
  • id: 190643
    {'lmfdb_iso': '5160.j', 'p': 13, 'prec': 20, 'unit': 470672952140618814115, 'val': 1}
  • id: 190645
    {'lmfdb_iso': '5160.j', 'p': 17, 'prec': 20, 'unit': 2748838668798640751863793, 'val': -1}
  • id: 190636
    {'lmfdb_iso': '5160.j', 'p': 19, 'prec': 20, 'unit': 250030788496564116454098, 'val': 1}
  • id: 190650
    {'lmfdb_iso': '5160.j', 'p': 23, 'prec': 20, 'unit': 999241103901279456715849393, 'val': -1}
  • id: 190655
    {'lmfdb_iso': '5160.j', 'p': 31, 'prec': 20, 'unit': 21226066165841471900927655811, 'val': 1}
  • id: 190639
    {'lmfdb_iso': '5160.j', 'p': 37, 'prec': 20, 'unit': 36772993078501322686667715286, 'val': 1}
  • id: 190641
    {'lmfdb_iso': '5160.j', 'p': 41, 'prec': 20, 'unit': 173191300166814997121004910988805, 'val': -1}
  • id: 190653
    {'lmfdb_iso': '5160.j', 'p': 47, 'prec': 20, 'unit': 15968735749748342181783078677664, 'val': 1}
  • id: 190647
    {'lmfdb_iso': '5160.j', 'p': 53, 'prec': 20, 'unit': 531125438687018769861828270548379, 'val': 1}
  • id: 190648
    {'lmfdb_iso': '5160.j', 'p': 59, 'prec': 20, 'unit': 1438418433259502602531997792909078, 'val': 1}
  • id: 190654
    {'lmfdb_iso': '5160.j', 'p': 61, 'prec': 20, 'unit': 4612245600161101820183524652944958, 'val': 1}
  • id: 190638
    {'lmfdb_iso': '5160.j', 'p': 67, 'prec': 20, 'unit': 22545027504947261796853892833212461, 'val': 1}
  • id: 190652
    {'lmfdb_iso': '5160.j', 'p': 71, 'prec': 20, 'unit': 115968230831095478567735605564345590, 'val': 1}
  • id: 190649
    {'lmfdb_iso': '5160.j', 'p': 73, 'prec': 20, 'unit': 31714282946407580977350115014735616, 'val': 1}
  • id: 190644
    {'lmfdb_iso': '5160.j', 'p': 79, 'prec': 20, 'unit': 407113380175696868910099063375102123, 'val': 1}
  • id: 190646
    {'lmfdb_iso': '5160.j', 'p': 83, 'prec': 20, 'unit': 1682129286627582652461394226537918832, 'val': 1}
  • id: 190651
    {'lmfdb_iso': '5160.j', 'p': 89, 'prec': 20, 'unit': 6898600505128135227985172159590256019, 'val': 1}
  • id: 190637
    {'lmfdb_iso': '5160.j', 'p': 97, 'prec': 20, 'unit': 54632936162386066867841438889543524680, '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[]

  
  {'Ciso': '5160f', 'Clabel': '5160f1', 'Cnumber': 1, 'abc_quality': 0.9717850017760336, 'absD': 1030410720000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 86, 'ainvs': [0, 1, 0, -721, -49645], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5160, 'degree': 6144, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98573008646666416121346403215', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [-162140591104, 4025041875], 'lmfdb_iso': '5160.j', 'lmfdb_label': '5160.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -721, -49645], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['86.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.11131084980131758748196970353', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 43], [3, 4, 40], [5, 6, 1032], [43, 44, 120]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52363196609336728826864261784', 'prec': 103}, 'szpiro_ratio': 4.110423378449671, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}