Elliptic curve isogeny class data - 32368.f

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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, 0, -2, 0, 0, 0, 1, 0, 1, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, -2, 0, 1, 0, -4, 0, -2, 0, 6, -4, -2, -6, -8, 12, 6, 6, -8, 4, 0, -2, 8, 6, -6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 32368, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '32368.f', 'trace_hash': 1871486117454265563}
• ec_padic •

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

  
  
  • id: 1576856
    {'lmfdb_iso': '32368.f', 'p': 13, 'prec': 20, 'unit': 1274295964058756831011, 'val': 1}
  • id: 1576859
    {'lmfdb_iso': '32368.f', 'p': 19, 'prec': 20, 'unit': 400766088720858174483315, 'val': 1}
  • id: 1576855
    {'lmfdb_iso': '32368.f', 'p': 29, 'prec': 20, 'unit': 6069776059484424849270621179, 'val': 1}
  • id: 1576865
    {'lmfdb_iso': '32368.f', 'p': 31, 'prec': 20, 'unit': 10762669295115529117572269156, 'val': 1}
  • id: 1576852
    {'lmfdb_iso': '32368.f', 'p': 37, 'prec': 20, 'unit': 136428383856805411063775532650, 'val': 1}
  • id: 1576853
    {'lmfdb_iso': '32368.f', 'p': 41, 'prec': 20, 'unit': 1924712621236226217359355793008, 'val': 1}
  • id: 1576854
    {'lmfdb_iso': '32368.f', 'p': 43, 'prec': 20, 'unit': 2607311147279062428738049864062, 'val': 1}
  • id: 1576863
    {'lmfdb_iso': '32368.f', 'p': 47, 'prec': 20, 'unit': 32762674949355800499736043284203, 'val': 1}
  • id: 1576860
    {'lmfdb_iso': '32368.f', 'p': 53, 'prec': 20, 'unit': 354570467255043595436957308247749, 'val': 1}
  • id: 1576858
    {'lmfdb_iso': '32368.f', 'p': 59, 'prec': 20, 'unit': 414282673983221786025884468171962, 'val': 1}
  • id: 1576864
    {'lmfdb_iso': '32368.f', 'p': 61, 'prec': 20, 'unit': 5863715730412790547589816590570967, 'val': 1}
  • id: 1576851
    {'lmfdb_iso': '32368.f', 'p': 67, 'prec': 20, 'unit': 7037636554233037394395136353567439, 'val': 1}
  • id: 1576861
    {'lmfdb_iso': '32368.f', 'p': 73, 'prec': 20, 'unit': 74433991684296029860824252684980561, 'val': 1}
  • id: 1576857
    {'lmfdb_iso': '32368.f', 'p': 79, 'prec': 20, 'unit': 409415673007844664345452848399727873, 'val': 1}
  • id: 1576850
    {'lmfdb_iso': '32368.f', 'p': 83, 'prec': 20, 'unit': 1402271862687907634120344718055304691, 'val': 1}
  • id: 1576862
    {'lmfdb_iso': '32368.f', 'p': 89, 'prec': 20, 'unit': 5274450246537256146668053111531745814, 'val': 1}
  • id: 1576849
    {'lmfdb_iso': '32368.f', 'p': 97, 'prec': 20, 'unit': 35085254864571550699001085682580613875, '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: 215224
    {'Ciso': '32368bd', 'Clabel': '32368bd6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 2480387404070912, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 8568, 'ainvs': [0, 1, 0, -12625928, 17263833076], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 32368, 'degree': 663552, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5228548330111378071227817852', 'prec': 97}, 'faltings_index': 5, 'faltings_ratio': 18, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '32368.f', 'lmfdb_label': '32368.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.1', '72.72.1.?', '84.24.0.?', '126.108.2.?', '168.48.1.?', '204.24.0.?', '252.216.7.?', '408.48.0.?', '504.432.21.?', '612.72.0.?', '1224.144.1.?', '1428.48.0.?', '2856.96.1.?', '4284.432.7.?', '8568.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5319626133852625442354356431', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235480', 'prec': 97}, 'szpiro_ratio': 5.841870687565279, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 215223
    {'Ciso': '32368bd', 'Clabel': '32368bd5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 181422621554900992, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 8568, 'ainvs': [0, 1, 0, -788488, 270004212], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 32368, 'degree': 331776, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1762812427311651524141657245', 'prec': 97}, 'faltings_index': 4, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '32368.f', 'lmfdb_label': '32368.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '72.72.1.?', '126.216.7.?', '168.48.1.?', '204.24.0.?', '408.48.0.?', '504.432.21.?', '612.72.0.?', '1224.144.1.?', '1428.48.0.?', '2856.96.1.?', '4284.432.7.?', '8568.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0639252267705250884708712862', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 2023], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294104', 'prec': 97}, 'szpiro_ratio': 5.04124823803354, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 215222
    {'Ciso': '32368bd', 'Clabel': '32368bd4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 93053283705847808, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 8568, 'ainvs': [0, 1, 0, -164248, 20946324], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 32368, 'degree': 221184, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9735486886770829614251591668', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '32368.f', 'lmfdb_label': '32368.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '24.72.1.h.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.a.1', '84.72.1.?', '126.108.2.?', '168.144.5.?', '204.72.0.?', '252.216.7.?', '408.144.1.?', '504.432.21.?', '1428.144.1.?', '2856.288.5.?', '4284.432.7.?', '8568.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.84398753779508751474514521437', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 2, 4624], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026359', 'prec': 97}, 'szpiro_ratio': 4.587515541413999, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 215220
    {'Ciso': '32368bd', 'Clabel': '32368bd2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 9689013297152, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 8568, 'ainvs': [0, 1, 0, -48648, -4143500], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 32368, 'degree': 73728, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4242425443430281157275365483', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '32368.f', 'lmfdb_label': '32368.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.2', '72.72.1.?', '84.24.0.?', '126.108.2.?', '168.48.1.?', '204.24.0.?', '252.216.7.?', '408.48.0.?', '504.432.21.?', '612.72.0.?', '1224.144.1.?', '1428.48.0.?', '2856.96.1.?', '4284.432.7.?', '8568.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5319626133852625442354356431', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288209', 'prec': 97}, 'szpiro_ratio': 4.23601702941744, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 215219
    {'Ciso': '32368bd', 'Clabel': '32368bd1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 2768289513472, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 8568, 'ainvs': [0, 1, 0, -2408, -92876], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 32368, 'degree': 36864, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0776689540630554610189204876', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '32368.f', 'lmfdb_label': '32368.f5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.2', '72.72.1.?', '126.216.7.?', '168.48.1.?', '204.24.0.?', '408.48.0.?', '504.432.21.?', '612.72.0.?', '1224.144.1.?', '1428.48.0.?', '2856.96.1.?', '4284.432.7.?', '8568.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0639252267705250884708712862', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 2023], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 97}, 'szpiro_ratio': 3.5035229670521995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 215221
    {'Ciso': '32368bd', 'Clabel': '32368bd3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 2170338978562048, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 8568, 'ainvs': [0, 1, 0, 20712, 1932436], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 32368, 'degree': 110592, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6269750983971103067165431060', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '32368.f', 'lmfdb_label': '32368.f6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '126.216.7.?', '168.144.5.?', '204.72.0.?', '408.144.1.?', '504.432.21.?', '1428.144.1.?', '2856.288.5.?', '4284.432.7.?', '8568.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6879750755901750294902904287', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 2023], [3, 2, 4624], [7, 8, 4624], [17, 146, 112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632439', 'prec': 97}, 'szpiro_ratio': 4.0890588068199465, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}