Elliptic curve isogeny class data - 64896.k

Formats: - HTML - YAML - JSON - 2025-10-28T12:16:14.146542

• 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, 2, 0, 1, 0, -4, 0, 0, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 2, -4, 0, -2, 4, 4, 0, -6, 2, 6, 0, -12, 8, -12, 6, 0, 12, -6, -14, 4, 18, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 64896, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '64896.k', 'trace_hash': 1707796050679966596}
• ec_padic •

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

  
  
  • id: 3308588
    {'lmfdb_iso': '64896.k', 'p': 7, 'prec': 20, 'unit': 10685240346160245, 'val': 1}
  • id: 3308590
    {'lmfdb_iso': '64896.k', 'p': 11, 'prec': 20, 'unit': 11876160946626919975, 'val': 1}
  • id: 3308592
    {'lmfdb_iso': '64896.k', 'p': 17, 'prec': 20, 'unit': 113630715486218435733283, 'val': 1}
  • id: 3308584
    {'lmfdb_iso': '64896.k', 'p': 19, 'prec': 20, 'unit': 687017567522143593294095, 'val': 1}
  • id: 3308596
    {'lmfdb_iso': '64896.k', 'p': 23, 'prec': 20, 'unit': 42486626518949054933345157, 'val': 1}
  • id: 3308601
    {'lmfdb_iso': '64896.k', 'p': 31, 'prec': 20, 'unit': 8420973166602301977274144487, 'val': 1}
  • id: 3308587
    {'lmfdb_iso': '64896.k', 'p': 37, 'prec': 20, 'unit': 438281220971996588307720305128, 'val': 1}
  • id: 3308589
    {'lmfdb_iso': '64896.k', 'p': 41, 'prec': 20, 'unit': 2181933210687189804613226302720, 'val': 1}
  • id: 3308599
    {'lmfdb_iso': '64896.k', 'p': 47, 'prec': 20, 'unit': 31329000636795813160492257813509, 'val': 1}
  • id: 3308594
    {'lmfdb_iso': '64896.k', 'p': 53, 'prec': 20, 'unit': 569692543004874415966286090534226, 'val': 1}
  • id: 3308586
    {'lmfdb_iso': '64896.k', 'p': 59, 'prec': 20, 'unit': 861557533558723405934336110498616, 'val': 1}
  • id: 3308600
    {'lmfdb_iso': '64896.k', 'p': 61, 'prec': 20, 'unit': 3703737975854061837481109084760776, 'val': 1}
  • id: 3308598
    {'lmfdb_iso': '64896.k', 'p': 71, 'prec': 20, 'unit': 106218002914595445192875210525215906, 'val': 1}
  • id: 3308595
    {'lmfdb_iso': '64896.k', 'p': 73, 'prec': 20, 'unit': 113271701219112351400383870312450909, 'val': 1}
  • id: 3308591
    {'lmfdb_iso': '64896.k', 'p': 79, 'prec': 20, 'unit': 360416860558443339307766016768856998, 'val': 1}
  • id: 3308593
    {'lmfdb_iso': '64896.k', 'p': 83, 'prec': 20, 'unit': 1014396592177322048442717914422071004, 'val': 1}
  • id: 3308597
    {'lmfdb_iso': '64896.k', 'p': 89, 'prec': 20, 'unit': 3637654550073215229015271958661093581, 'val': 1}
  • id: 3308585
    {'lmfdb_iso': '64896.k', 'p': 97, 'prec': 20, 'unit': 32708480865543637547647022350358817171, '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: 429526
    {'Ciso': '64896a', 'Clabel': '64896a1', 'Cnumber': 1, 'abc_quality': 1.1592979456015535, 'absD': 77183109548483328, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, -1, 0, -473763, 124957611], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 64896, 'degree': 602112, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0760903396998131866005856559', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [9517173136000, 62462907], 'lmfdb_iso': '64896.k', 'lmfdb_label': '64896.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2803, 57739], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '12.6.0.a.1', '24.12.0.w.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.4229583612575976242440033089', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 507], [3, 4, 21632], [7, 2, 21632], [13, 98, 384]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33151754059574794562902052081', 'prec': 103}, 'szpiro_ratio': 4.586327629986421, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 429527
    {'Ciso': '64896a', 'Clabel': '64896a2', 'Cnumber': 2, 'abc_quality': 1.0502222313112368, 'absD': 31962028039296196608, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, -1, 0, -188153, 273874665], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 64896, 'degree': 1204224, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4226639299797858413092017167', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [-18629852000, 808321761], 'lmfdb_iso': '64896.k', 'lmfdb_label': '64896.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1113, 125001], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '12.6.0.b.1', '24.12.0.c.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.845916722515195248488006618', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 4, 21632], [7, 2, 21632], [13, 98, 384]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38927980564241005474712319767', 'prec': 103}, 'szpiro_ratio': 4.727120136350598, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}