Elliptic curve isogeny class data - 82110.x

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• 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, -1, -1, 1, -1, 1, 1, -2, 1, 4, -1, -1, 1, 1, -1, 2, -1], 'aplist': [-1, 1, -1, 1, -2, 4, 1, 2, 1, 0, 0, -4, -10, -8, 4, -2, 10, 6, -4, -8, -14, 0, -6, 18, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 82110, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '82110.x', 'trace_hash': 144071622357137383}
• ec_padic •

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

  
  
  • id: 4235754
    {'lmfdb_iso': '82110.x', 'p': 11, 'prec': 20, 'unit': 30873280294685079134, 'val': 1}
  • id: 4235752
    {'lmfdb_iso': '82110.x', 'p': 13, 'prec': 20, 'unit': 93376804535414636530, 'val': 1}
  • id: 4235755
    {'lmfdb_iso': '82110.x', 'p': 19, 'prec': 20, 'unit': 1559706441725609297609697, 'val': 1}
  • id: 4235748
    {'lmfdb_iso': '82110.x', 'p': 37, 'prec': 20, 'unit': 1655909778263798178777447076, 'val': 2}
  • id: 4235750
    {'lmfdb_iso': '82110.x', 'p': 41, 'prec': 20, 'unit': 1536919520854027962632792333034, 'val': 1}
  • id: 4235751
    {'lmfdb_iso': '82110.x', 'p': 43, 'prec': 20, 'unit': 1184911567537947253131288442519, 'val': 1}
  • id: 4235753
    {'lmfdb_iso': '82110.x', 'p': 47, 'prec': 20, 'unit': 48242624036844842185545545736774, 'val': 1}
  • id: 4235756
    {'lmfdb_iso': '82110.x', 'p': 53, 'prec': 20, 'unit': 380488137045973898432714329887896, 'val': 1}
  • id: 4235759
    {'lmfdb_iso': '82110.x', 'p': 59, 'prec': 20, 'unit': 3610443370269712110991103814181620, 'val': 1}
  • id: 4235760
    {'lmfdb_iso': '82110.x', 'p': 61, 'prec': 20, 'unit': 5684752243372421364225964682316585, 'val': 1}
  • id: 4235747
    {'lmfdb_iso': '82110.x', 'p': 67, 'prec': 20, 'unit': 36668732129613885284578906766670900, 'val': 1}
  • id: 4235749
    {'lmfdb_iso': '82110.x', 'p': 71, 'prec': 20, 'unit': 26511503587022440035265728829316579, 'val': 1}
  • id: 4235757
    {'lmfdb_iso': '82110.x', 'p': 73, 'prec': 20, 'unit': 71388684616966552442292093131428056, 'val': 1}
  • id: 4235746
    {'lmfdb_iso': '82110.x', 'p': 83, 'prec': 20, 'unit': 2677388762624512099367903411540220058, 'val': 1}
  • id: 4235758
    {'lmfdb_iso': '82110.x', 'p': 89, 'prec': 20, 'unit': 7898668923970294274937384336664036084, 'val': 1}
  • id: 4235745
    {'lmfdb_iso': '82110.x', 'p': 97, 'prec': 20, 'unit': 15073675889667488189274403291804800056, '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: 541349
    {'Ciso': '82110z', 'Clabel': '82110z2', 'Cnumber': 2, 'abc_quality': 1.0787848130200466, 'absD': 16049455024050, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [1, 0, 1, -20289, 1093786], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 82110, 'degree': 270336, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3307152465191720899663037917', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [923580740393079049, 16049455024050], 'lmfdb_iso': '82110.x', 'lmfdb_label': '82110.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -20289, 1093786], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '476.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.26584468283780980881028666367', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3307152465191720899663037917', 'prec': 100}, 'szpiro_ratio': 3.655683155639711, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 541348
    {'Ciso': '82110z', 'Clabel': '82110z1', 'Cnumber': 1, 'abc_quality': 1.0760473673577837, 'absD': 1032553777500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [1, 0, 1, -39, 48886], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 82110, 'degree': 135168, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98414165623919943525768773096', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [-6321363049, 1032553777500], 'lmfdb_iso': '82110.x', 'lmfdb_label': '82110.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -39, 48886], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '238.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53168936567561961762057332734', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 119], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98414165623919943525768773096', 'prec': 103}, 'szpiro_ratio': 3.1034246720984706, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}