Elliptic curve isogeny class data - 32487.e

Formats: - HTML - YAML - JSON - 2023-11-30T07:31:31.414433

• 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, 2, -1, 0, 3, 1, -2, -4, -1, -1, 0, 2, -1, -1, -1, 4, -2], 'aplist': [-1, 1, 2, 0, -4, -1, -1, 4, 0, 6, 0, -2, -2, 12, 0, -10, -12, 10, 4, 8, -10, -8, -4, -10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 32487, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '32487.e', 'trace_hash': 1963975111581066483}
• ec_padic •

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

  
  
  • id: 1583782
    {'lmfdb_iso': '32487.e', 'p': 5, 'prec': 20, 'unit': 2801094382632, 'val': 2}
  • id: 1583775
    {'lmfdb_iso': '32487.e', 'p': 11, 'prec': 20, 'unit': 40907072186307765517, 'val': 1}
  • id: 1583776
    {'lmfdb_iso': '32487.e', 'p': 19, 'prec': 20, 'unit': 1208927576567190828641890, 'val': 1}
  • id: 1583773
    {'lmfdb_iso': '32487.e', 'p': 29, 'prec': 20, 'unit': 4856434867967809970985994346, 'val': 1}
  • id: 1583769
    {'lmfdb_iso': '32487.e', 'p': 37, 'prec': 20, 'unit': 595890220240691917777719516733, 'val': 1}
  • id: 1583771
    {'lmfdb_iso': '32487.e', 'p': 41, 'prec': 20, 'unit': 928407848924986950438126862178, 'val': 1}
  • id: 1583772
    {'lmfdb_iso': '32487.e', 'p': 43, 'prec': 20, 'unit': 7186033879449683938275716789576, 'val': 1}
  • id: 1583777
    {'lmfdb_iso': '32487.e', 'p': 53, 'prec': 20, 'unit': 64051692622021951226444226741747, 'val': 1}
  • id: 1583780
    {'lmfdb_iso': '32487.e', 'p': 59, 'prec': 20, 'unit': 3664360515846162213418995799520288, 'val': 1}
  • id: 1583781
    {'lmfdb_iso': '32487.e', 'p': 61, 'prec': 20, 'unit': 2911894642883641533395581803406527, 'val': 1}
  • id: 1583768
    {'lmfdb_iso': '32487.e', 'p': 67, 'prec': 20, 'unit': 17875821537487451482683789753603182, 'val': 1}
  • id: 1583770
    {'lmfdb_iso': '32487.e', 'p': 71, 'prec': 20, 'unit': 120285515495394024810788495062655393, 'val': 1}
  • id: 1583778
    {'lmfdb_iso': '32487.e', 'p': 73, 'prec': 20, 'unit': 75038799384885477640793083009553090, 'val': 1}
  • id: 1583774
    {'lmfdb_iso': '32487.e', 'p': 79, 'prec': 20, 'unit': 673486974063694667249435743823595098, 'val': 1}
  • id: 1583767
    {'lmfdb_iso': '32487.e', 'p': 83, 'prec': 20, 'unit': 1890368962216628789780121916709785194, 'val': 1}
  • id: 1583779
    {'lmfdb_iso': '32487.e', 'p': 89, 'prec': 20, 'unit': 7042846763258236851478306256938481287, 'val': 1}
  • id: 1583766
    {'lmfdb_iso': '32487.e', 'p': 97, 'prec': 20, 'unit': 19289854646935594318920321299931581431, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 216289
    {'Ciso': '32487m', 'Clabel': '32487m6', 'Cnumber': 6, 'absD': 719486367251182713, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 0, 0, -1988372, 1078244103], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 589824, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3548417573043155541679270421', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [7389727131216686257, 6115533215337], 'lmfdb_iso': '32487.e', 'lmfdb_label': '32487.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -40579, -3160960], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0-8.n.1.7', '28.12.0-4.c.1.1', '34.6.0.a.1', '56.24.0-8.n.1.6', '68.12.0.g.1', '136.24.0.?', '168.48.0.?', '208.24.0.?', '408.48.0.?', '476.24.0.?', '624.48.0.?', '952.48.0.?', '1456.48.0.?', '2856.96.0.?', '3536.48.0.?', '4368.96.0.?', '10608.96.0.?', '24752.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2570505880824650592492339141', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3818866827766589016152506704', 'prec': 100}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 216287
    {'Ciso': '32487m', 'Clabel': '32487m4', 'Cnumber': 4, 'absD': 188858558708802801, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 37128, 'ainvs': [1, 0, 0, -151607, 8879520], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 294912, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0082681670243428994593109813', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [3275619238041697, 1605271262049], 'lmfdb_iso': '32487.e', 'lmfdb_label': '32487.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3094, -27214], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0-4.b.1.2', '28.24.0-4.b.1.1', '68.24.0.c.1', '104.24.0.?', '168.48.0.?', '312.48.0.?', '408.48.0.?', '476.48.0.?', '728.48.0.?', '1768.48.0.?', '2184.96.0.?', '2856.96.0.?', '5304.96.0.?', '12376.96.0.?', '37128.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1285252940412325296246169571', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0353130924966862469066346096', 'prec': 100}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 216285
    {'Ciso': '32487m', 'Clabel': '32487m2', 'Cnumber': 2, 'absD': 732334037312241, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 37128, 'ainvs': [1, 0, 0, -80802, -8750925], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 147456, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6616945767443702447506949206', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [495909170514577, 6224736609], 'lmfdb_iso': '32487.e', 'lmfdb_label': '32487.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1649, 24806], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0-4.b.1.3', '28.24.0-4.b.1.3', '104.24.0.?', '136.24.0.?', '156.24.0.?', '168.48.0.?', '312.48.0.?', '408.48.0.?', '728.48.0.?', '952.48.0.?', '1092.48.0.?', '1768.48.0.?', '2184.96.0.?', '2856.96.0.?', '5304.96.0.?', '12376.96.0.?', '37128.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2570505880824650592492339141', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68873950221671359219801854888', 'prec': 103}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 216284
    {'Ciso': '32487m', 'Clabel': '32487m1', 'Cnumber': 1, 'absD': 9282153153, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 0, 0, -80557, -8807128], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 73728, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3151209864643975900420788599', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [491411892194497, 78897], 'lmfdb_iso': '32487.e', 'lmfdb_label': '32487.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1644, 24972], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '28.12.0-4.c.1.2', '48.24.0-8.n.1.5', '56.24.0-8.n.1.5', '156.12.0.?', '208.24.0.?', '272.24.0.?', '312.24.0.?', '336.48.0.?', '408.24.0.?', '546.6.0.?', '624.48.0.?', '816.48.0.?', '1092.24.0.?', '1456.48.0.?', '1768.24.0.?', '1904.48.0.?', '2184.48.0.?', '2856.48.0.?', '3536.48.0.?', '4368.96.0.?', '5304.48.0.?', '5712.96.0.?', '10608.96.0.?', '12376.48.0.?', '24752.96.0.?', '37128.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.514101176164930118498467828', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34216591193674093748940248818', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 216286
    {'Ciso': '32487m', 'Clabel': '32487m3', 'Cnumber': 3, 'absD': 224048612199105057, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 0, 0, -13917, -22783398], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 294912, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0082681670243428994593109813', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2533811507137, 1904381781393], 'lmfdb_iso': '32487.e', 'lmfdb_label': '32487.e5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -284, 66302], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0-8.n.1.8', '28.12.0-4.c.1.2', '56.24.0-8.n.1.5', '104.24.0.?', '156.12.0.?', '168.48.0.?', '272.24.0.?', '312.48.0.?', '728.48.0.?', '816.48.0.?', '1092.24.0.?', '1904.48.0.?', '2184.96.0.?', '3536.48.0.?', '5712.96.0.?', '10608.96.0.?', '24752.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.514101176164930118498467828', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0353130924966862469066346096', 'prec': 100}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 216288
    {'Ciso': '32487m', 'Clabel': '32487m5', 'Cnumber': 5, 'absD': 12784337402104656297, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 0, 0, 552278, 68146637], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 589824, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3548417573043155541679270421', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [158346567380527343, 108665074944153], 'lmfdb_iso': '32487.e', 'lmfdb_label': '32487.e6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 11271, -193848], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '28.12.0-4.c.1.1', '48.24.0-8.n.1.3', '56.24.0-8.n.1.6', '68.12.0.h.1', '104.24.0.?', '136.24.0.?', '336.48.0.?', '476.24.0.?', '624.48.0.?', '728.48.0.?', '816.48.0.?', '952.48.0.?', '1768.48.0.?', '4368.96.0.?', '5712.96.0.?', '10608.96.0.?', '12376.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0642626470206162648123084785', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3818866827766589016152506704', 'prec': 100}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}