Elliptic curve isogeny class data - 8820.m

Formats: - HTML - YAML - JSON - 2026-03-13T13:24:54.618074

• 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, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, -1, 0, 4, -4, -2, 0, 4, 0, -8, 2, 2, 4, -4, -4, -4, 8, -4, -12, 4, 4, 8, -14, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 8820, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8820.m', 'trace_hash': 1506177984903932059}
• ec_padic •

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

  
  
  • id: 366449
    {'lmfdb_iso': '8820.m', 'p': 11, 'prec': 20, 'unit': 51333855175458794003, 'val': 1}
  • id: 366454
    {'lmfdb_iso': '8820.m', 'p': 13, 'prec': 20, 'unit': 804939309392988587937, 'val': 1}
  • id: 366456
    {'lmfdb_iso': '8820.m', 'p': 17, 'prec': 20, 'unit': 110983740593138302719982, 'val': 1}
  • id: 366461
    {'lmfdb_iso': '8820.m', 'p': 23, 'prec': 20, 'unit': 69132704855969533959149770, 'val': 1}
  • id: 366465
    {'lmfdb_iso': '8820.m', 'p': 31, 'prec': 20, 'unit': 18468737148629492027506237568, 'val': 1}
  • id: 366450
    {'lmfdb_iso': '8820.m', 'p': 37, 'prec': 20, 'unit': 263789228983540180349855962907, 'val': 1}
  • id: 366452
    {'lmfdb_iso': '8820.m', 'p': 41, 'prec': 20, 'unit': 3691639655397041082757504190480, 'val': 1}
  • id: 366453
    {'lmfdb_iso': '8820.m', 'p': 43, 'prec': 20, 'unit': 5169619369082025106764945486012, 'val': 1}
  • id: 366463
    {'lmfdb_iso': '8820.m', 'p': 47, 'prec': 20, 'unit': 30813395586068455592047501695533, 'val': 1}
  • id: 366458
    {'lmfdb_iso': '8820.m', 'p': 53, 'prec': 20, 'unit': 100645626985917387298090314060033, 'val': 1}
  • id: 366459
    {'lmfdb_iso': '8820.m', 'p': 59, 'prec': 20, 'unit': 895286723732040505248509462153536, 'val': 1}
  • id: 366464
    {'lmfdb_iso': '8820.m', 'p': 61, 'prec': 20, 'unit': 4321988765863462348446569475290935, 'val': 1}
  • id: 366448
    {'lmfdb_iso': '8820.m', 'p': 67, 'prec': 20, 'unit': 20511524229538233442828282572169347, 'val': 1}
  • id: 366451
    {'lmfdb_iso': '8820.m', 'p': 71, 'prec': 20, 'unit': 122622991132019007290337926109772379, 'val': 1}
  • id: 366460
    {'lmfdb_iso': '8820.m', 'p': 73, 'prec': 20, 'unit': 82068515019522381094957782410579379, 'val': 1}
  • id: 366455
    {'lmfdb_iso': '8820.m', 'p': 79, 'prec': 20, 'unit': 486908812447470809701150704818963950, 'val': 1}
  • id: 366457
    {'lmfdb_iso': '8820.m', 'p': 83, 'prec': 20, 'unit': 2524670658360984856833467015836928205, 'val': 1}
  • id: 366462
    {'lmfdb_iso': '8820.m', 'p': 89, 'prec': 20, 'unit': 5162673977539963473549982439336819768, 'val': 1}
  • id: 366447
    {'lmfdb_iso': '8820.m', 'p': 97, 'prec': 20, 'unit': 50399913331302707786539507306901708195, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 56823
    {'Ciso': '8820b', 'Clabel': '8820b1', 'Cnumber': 1, 'abc_quality': 1.076663758957693, 'absD': 3704400, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -168, 833], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8820, 'degree': 1536, 'elladic_images': ['4.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.093044351549138241123912302048', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [3538944, 25], 'lmfdb_iso': '8820.m', 'lmfdb_label': '8820.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -168, 833], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '24.12.0.bv.1', '40.12.0.cb.1', '42.6.0.a.1', '56.12.0.bo.1', '60.12.0.bm.1', '84.12.0.?', '120.24.0.?', '140.12.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27431220072018175979135627409', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 21], [3, 6, 980], [5, 6, 1764], [7, 20, 180]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.89913531806836594447364790020', 'prec': 107}, 'szpiro_ratio': 2.9704080274441704, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 56824
    {'Ciso': '8820b', 'Clabel': '8820b2', 'Cnumber': 2, 'abc_quality': 0.9449127612139379, 'absD': 1481760000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -63, 1862], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8820, 'degree': 3072, 'elladic_images': ['4.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43961794182911089583252836278', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [-11664, 625], 'lmfdb_iso': '8820.m', 'lmfdb_label': '8820.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -63, 1862], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '24.12.0.bs.1', '40.12.0.cb.1', '56.12.0.br.1', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54862440144036351958271254818', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 21], [3, 6, 980], [5, 6, 1764], [7, 20, 180]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78361078797504172623744254662', 'prec': 107}, 'szpiro_ratio': 3.146137542452061, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}