Elliptic curve isogeny class data - 25410.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, 0, 1, 4, 1, -1, 1, 0, -1, -8, -1], 'aplist': [-1, 1, -1, -1, 0, 4, 0, -8, 6, -6, -4, 8, -6, 4, 12, 6, -12, 10, -10, 0, -14, -8, 0, -12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 25410, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '25410.x', 'trace_hash': 974383597062126368}
• ec_padic •

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

  
  
  • id: 1210693
    {'lmfdb_iso': '25410.x', 'p': 13, 'prec': 20, 'unit': 833472228920991710818, 'val': 1}
  • id: 1210696
    {'lmfdb_iso': '25410.x', 'p': 19, 'prec': 20, 'unit': 304667814913287594029779, 'val': 1}
  • id: 1210699
    {'lmfdb_iso': '25410.x', 'p': 23, 'prec': 20, 'unit': 38051280337201069089743133, 'val': 1}
  • id: 1210692
    {'lmfdb_iso': '25410.x', 'p': 29, 'prec': 20, 'unit': 4321310154656999122579664272, 'val': 1}
  • id: 1210703
    {'lmfdb_iso': '25410.x', 'p': 31, 'prec': 20, 'unit': 1531799933064275506701366216, 'val': 1}
  • id: 1210689
    {'lmfdb_iso': '25410.x', 'p': 37, 'prec': 20, 'unit': 488227815822257424577441676795, 'val': 1}
  • id: 1210690
    {'lmfdb_iso': '25410.x', 'p': 41, 'prec': 20, 'unit': 2179476045958583879006367276055, 'val': 1}
  • id: 1210691
    {'lmfdb_iso': '25410.x', 'p': 43, 'prec': 20, 'unit': 1847731945006926185254857120072, 'val': 1}
  • id: 1210701
    {'lmfdb_iso': '25410.x', 'p': 47, 'prec': 20, 'unit': 28318317198348204945329426959162, 'val': 1}
  • id: 1210697
    {'lmfdb_iso': '25410.x', 'p': 53, 'prec': 20, 'unit': 389693064587378763314583277118918, 'val': 1}
  • id: 1210695
    {'lmfdb_iso': '25410.x', 'p': 59, 'prec': 20, 'unit': 2923497705401607353552026579254005, 'val': 1}
  • id: 1210702
    {'lmfdb_iso': '25410.x', 'p': 61, 'prec': 20, 'unit': 5955589090967291676620374817090672, 'val': 1}
  • id: 1210688
    {'lmfdb_iso': '25410.x', 'p': 67, 'prec': 20, 'unit': 40685887767987683412968854877003651, 'val': 1}
  • id: 1210698
    {'lmfdb_iso': '25410.x', 'p': 73, 'prec': 20, 'unit': 181390979171535374436245103064474598, 'val': 1}
  • id: 1210694
    {'lmfdb_iso': '25410.x', 'p': 79, 'prec': 20, 'unit': 1167057763233374503171087853152326, 'val': 2}
  • id: 1210700
    {'lmfdb_iso': '25410.x', 'p': 89, 'prec': 20, 'unit': 1741193136797271558985176381208191250, 'val': 1}
  • id: 1210687
    {'lmfdb_iso': '25410.x', 'p': 97, 'prec': 20, 'unit': 46518070586456741255425512233930826318, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 168768
    {'Ciso': '25410x', 'Clabel': '25410x3', 'Cnumber': 3, 'abc_quality': 1.0868862125218777, 'absD': 74275352266500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 0, 1, -2935584, 1935685882], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 25410, 'degree': 622080, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1756578372994106388157414573', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1579250141304807889, 41926500], 'lmfdb_iso': '25410.x', 'lmfdb_label': '25410.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -24261, -1456515], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '33.8.0-3.a.1.1', '66.24.0-6.a.1.1', '210.24.0.?', '264.48.0.?', '770.6.0.?', '840.48.0.?', '2310.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4226028719045759181347751148', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97671020090022536678476966832', 'prec': 103}, 'szpiro_ratio': 5.54978005570287, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 168769
    {'Ciso': '25410x', 'Clabel': '25410x4', 'Cnumber': 4, 'abc_quality': 0.9822514390179332, 'absD': 14417155355562093750, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 0, 1, -2931954, 1940712706], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 25410, 'degree': 1244160, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5222314275793832935243575180', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1573398910560073969, 8138108343750], 'lmfdb_iso': '25410.x', 'lmfdb_label': '25410.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -24231, -1460289], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '33.8.0-3.a.1.1', '66.24.0-6.a.1.1', '264.48.0.?', '420.24.0.?', '840.48.0.?', '1540.6.0.?', '4620.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8452057438091518362695502297', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3232837911801980214933857290', 'prec': 100}, 'szpiro_ratio': 5.550291359092375, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 168766
    {'Ciso': '25410x', 'Clabel': '25410x1', 'Cnumber': 1, 'abc_quality': 0.9159368325397195, 'absD': 1559266767051840, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 0, 1, -38844, 2249146], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 25410, 'degree': 207360, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6263516929653557931181188388', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3658671062929, 880165440], 'lmfdb_iso': '25410.x', 'lmfdb_label': '25410.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -321, -1719], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cc.1', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '210.24.0.?', '264.48.0.?', '770.6.0.?', '840.48.0.?', '2310.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80753429063485863937825837161', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42740405656617052108714704982', 'prec': 103}, 'szpiro_ratio': 4.270524302889973, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 168767
    {'Ciso': '25410x', 'Clabel': '25410x2', 'Cnumber': 2, 'abc_quality': 0.9486074789755161, 'absD': 136183183150152600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 0, 1, 91836, 14167162], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 25410, 'degree': 414720, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9729252832453284478267348996', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [48351870250991, 76871856600], 'lmfdb_iso': '25410.x', 'lmfdb_label': '25410.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 759, -10575], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cb.1', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '264.48.0.?', '420.24.0.?', '840.48.0.?', '1540.6.0.?', '4620.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6150685812697172787565167432', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77397764684614317579576311062', 'prec': 103}, 'szpiro_ratio': 4.580045974893019, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}