Elliptic curve isogeny class data - 288990.gr

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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, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1], 'aplist': [1, 0, 1, 2, 2, 0, 2, 1, -4, 0, 8, -8, -8, -6, -12, 6, 0, 2, -8, -8, -14, 0, 4, 0, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 288990, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '288990.gr', 'trace_hash': 1090148744532450039}
• lmfdb_iso 288990.gr does not appear in ec_padic
• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1823542
    {'Ciso': '288990gr', 'Clabel': '288990gr4', 'Cnumber': 4, 'abc_quality': 1.0740941067474734, 'absD': 7841482117081505100, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 14820, 'ainvs': [1, -1, 1, -80344459877, 8765627517933329], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 288990, 'degree': 414720000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4406099440768611955346200349', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 173, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [16300610738133468173382620881, 2228489100], 'lmfdb_iso': '288990.gr', 'lmfdb_label': '288990.gr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52823445, -147775056075], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '60.72.1.cj.1', '76.6.0.?', '195.24.0.?', '260.72.0.?', '380.72.1.?', '390.72.0.?', '780.144.1.?', '1140.144.5.?', '4940.144.1.?', '14820.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6624570919100161253917029336', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6088291210120379818102536957', 'prec': 100}, 'szpiro_ratio': 6.914374982540767, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1823541
    {'Ciso': '288990gr', 'Clabel': '288990gr3', 'Cnumber': 3, 'abc_quality': 1.057796439598937, 'absD': 5177676274299572719094640, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 14820, 'ainvs': [1, -1, 1, -5021528297, 136963897027481], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 288990, 'degree': 207360000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0940363537968885408260039742', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 173, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-3979640234041473454886161, 1471455901872240], 'lmfdb_iso': '288990.gr', 'lmfdb_label': '288990.gr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3301465, -2309192023], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '30.72.1.i.2', '76.6.0.?', '130.72.0.?', '195.24.0.?', '380.72.1.?', '390.144.1.?', '1140.144.5.?', '4940.144.1.?', '14820.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3312285459550080626958514668', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2622555307320653271016376350', 'prec': 100}, 'szpiro_ratio': 6.252877582124436, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1823540
    {'Ciso': '288990gr', 'Clabel': '288990gr2', 'Cnumber': 2, 'abc_quality': 1.032281228728047, 'absD': 39477877065224910000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 14820, 'ainvs': [1, -1, 1, -133764377, 513062487929], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 288990, 'degree': 82944000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6358909878598110082342403683', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 173, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [75224183150104868881, 11219310000000000], 'lmfdb_iso': '288990.gr', 'lmfdb_label': '288990.gr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -87945, -8655975], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '60.72.1.cj.2', '76.6.0.?', '195.24.0.?', '260.72.0.?', '380.72.1.?', '390.72.0.?', '780.144.1.?', '1140.144.5.?', '4940.144.1.?', '14820.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3324914183820032250783405867', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8041101647949877945098740291', 'prec': 100}, 'szpiro_ratio': 5.387909999056891, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1823539
    {'Ciso': '288990gr', 'Clabel': '288990gr1', 'Cnumber': 1, 'abc_quality': 1.0281324592856305, 'absD': 1011465450114917990400000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 14820, 'ainvs': [1, -1, 1, 14198503, 43783417721], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 288990, 'degree': 41472000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2893173975798383535256243076', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 173, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [89962967236397039, 287450726400000], 'lmfdb_iso': '288990.gr', 'lmfdb_label': '288990.gr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9335, -737383], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '30.72.1.i.1', '76.6.0.?', '130.72.0.?', '195.24.0.?', '380.72.1.?', '390.144.1.?', '1140.144.5.?', '4940.144.1.?', '14820.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66624570919100161253917029336', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4575365745150151398012579684', 'prec': 100}, 'szpiro_ratio': 4.97277054636235, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}