Elliptic curve isogeny class data - 8640.l

Formats: - HTML - YAML - JSON - 2026-01-22T03:24:24.720325

• 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, 0, 0, -1, 0, -1, 0, 0, 0, -6, 0, 1, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 0, -1, -1, -6, 1, 0, 1, 6, -6, 8, 7, -6, 4, 12, 6, 0, -11, 7, -6, 11, -1, -6, -12, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 8640, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '8640.l', 'trace_hash': 1660503090951660546}
• ec_padic •

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

  
  
  • id: 357714
    {'lmfdb_iso': '8640.l', 'p': 7, 'prec': 20, 'unit': 6165785554371416, 'val': 1}
  • id: 357712
    {'lmfdb_iso': '8640.l', 'p': 11, 'prec': 20, 'unit': 56970866188215440053, 'val': 1}
  • id: 357718
    {'lmfdb_iso': '8640.l', 'p': 13, 'prec': 20, 'unit': 4096717733106781232537, 'val': -1}
  • id: 357720
    {'lmfdb_iso': '8640.l', 'p': 19, 'prec': 20, 'unit': 6208726444604831260533920, 'val': -1}
  • id: 357723
    {'lmfdb_iso': '8640.l', 'p': 23, 'prec': 20, 'unit': 60585723186290008177346481, 'val': 1}
  • id: 357717
    {'lmfdb_iso': '8640.l', 'p': 29, 'prec': 20, 'unit': 4866326746205913150843344418, 'val': 1}
  • id: 357729
    {'lmfdb_iso': '8640.l', 'p': 31, 'prec': 20, 'unit': 3325787589958109320999912611, 'val': 1}
  • id: 357713
    {'lmfdb_iso': '8640.l', 'p': 37, 'prec': 20, 'unit': 98543565622374839350772148236, 'val': 1}
  • id: 357715
    {'lmfdb_iso': '8640.l', 'p': 41, 'prec': 20, 'unit': 2789082012734876998204794115508, 'val': 1}
  • id: 357716
    {'lmfdb_iso': '8640.l', 'p': 43, 'prec': 20, 'unit': 6430079733166363834883703342439, 'val': 1}
  • id: 357719
    {'lmfdb_iso': '8640.l', 'p': 47, 'prec': 20, 'unit': 33890882887431840526916179401294, 'val': 1}
  • id: 357721
    {'lmfdb_iso': '8640.l', 'p': 53, 'prec': 20, 'unit': 85242834590305116341765828908056, 'val': 1}
  • id: 357727
    {'lmfdb_iso': '8640.l', 'p': 61, 'prec': 20, 'unit': 5671608982531853241198963170058614, 'val': 1}
  • id: 357711
    {'lmfdb_iso': '8640.l', 'p': 67, 'prec': 20, 'unit': 5731225156732354935269050115315336, 'val': 1}
  • id: 357725
    {'lmfdb_iso': '8640.l', 'p': 71, 'prec': 20, 'unit': 51039899572066253381614747777672374, 'val': 1}
  • id: 357722
    {'lmfdb_iso': '8640.l', 'p': 73, 'prec': 20, 'unit': 187135684112653023620534773039805588, 'val': 1}
  • id: 357726
    {'lmfdb_iso': '8640.l', 'p': 79, 'prec': 20, 'unit': 233861772248815159704690696088750864, 'val': 1}
  • id: 357728
    {'lmfdb_iso': '8640.l', 'p': 83, 'prec': 20, 'unit': 1815874769255078041526499871572628789, 'val': 1}
  • id: 357724
    {'lmfdb_iso': '8640.l', 'p': 89, 'prec': 20, 'unit': 9117687814796080139653710441494427608, 'val': 1}
  • id: 357710
    {'lmfdb_iso': '8640.l', 'p': 97, 'prec': 20, 'unit': 43134389035951585098552967697644358420, '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: 55618
    {'Ciso': '8640d', 'Clabel': '8640d1', 'Cnumber': 1, 'abc_quality': 1.0904350906962674, 'absD': 11059200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 24, 'ainvs': [0, 0, 0, -288, -1888], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8640, 'degree': 2304, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20653594742291384050288311031', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [-5971968, 25], 'lmfdb_iso': '8640.l', 'lmfdb_label': '8640.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -648, 6372], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '24.16.0-6.b.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1232755765464788282812852240', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27], [3, 2, 320], [5, 6, 1728]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87678883539738310999936567396', 'prec': 107}, 'szpiro_ratio': 3.156354144227532, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 55619
    {'Ciso': '8640d', 'Clabel': '8640d2', 'Cnumber': 2, 'abc_quality': 1.0691763773828689, 'absD': 62208000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 24, 'ainvs': [0, 0, 0, 672, -9952], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8640, 'degree': 6912, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75584209175696868620050572877', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [8429568, 15625], 'lmfdb_iso': '8640.l', 'lmfdb_label': '8640.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1512, 33588], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '24.16.0-6.b.1.3'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0410918588488262760937617413', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27], [3, 8, 32], [5, 6, 1728]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51058473917467987953428392832', 'prec': 107}, 'szpiro_ratio': 3.5231296337143765, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}