Elliptic curve isogeny class data - 4032.r

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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, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 0, 0, -1, 0, 4, -6, 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': 4032, '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': '4032.r', 'trace_hash': 993998731694380286}
• ec_padic •

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

  
  
  • id: 141252
    {'lmfdb_iso': '4032.r', 'p': 13, 'prec': 20, 'unit': 468116937801726759307, 'val': 1}
  • id: 141254
    {'lmfdb_iso': '4032.r', 'p': 17, 'prec': 20, 'unit': 68187542800981048723264, 'val': 1}
  • id: 141255
    {'lmfdb_iso': '4032.r', 'p': 19, 'prec': 20, 'unit': 798910679995356921220435, 'val': 1}
  • id: 141251
    {'lmfdb_iso': '4032.r', 'p': 29, 'prec': 20, 'unit': 6018041435928372409567121093, 'val': 1}
  • id: 141262
    {'lmfdb_iso': '4032.r', 'p': 31, 'prec': 20, 'unit': 11956636088383399031135167113, 'val': 1}
  • id: 141248
    {'lmfdb_iso': '4032.r', 'p': 37, 'prec': 20, 'unit': 498718195902639002177427468766, 'val': 1}
  • id: 141249
    {'lmfdb_iso': '4032.r', 'p': 41, 'prec': 20, 'unit': 1279218910614646063958909755397, 'val': 1}
  • id: 141250
    {'lmfdb_iso': '4032.r', 'p': 43, 'prec': 20, 'unit': 10533965588207543858601217145724, 'val': 1}
  • id: 141260
    {'lmfdb_iso': '4032.r', 'p': 47, 'prec': 20, 'unit': 4748892639551195552326649402378, 'val': 1}
  • id: 141256
    {'lmfdb_iso': '4032.r', 'p': 53, 'prec': 20, 'unit': 355395580243256219936108717684340, 'val': 1}
  • id: 141257
    {'lmfdb_iso': '4032.r', 'p': 59, 'prec': 20, 'unit': 2097927939177457292745148538065510, 'val': 1}
  • id: 141261
    {'lmfdb_iso': '4032.r', 'p': 61, 'prec': 20, 'unit': 7335289194800222930314464168476433, 'val': 1}
  • id: 141247
    {'lmfdb_iso': '4032.r', 'p': 67, 'prec': 20, 'unit': 23565137543890179131978694356036895, 'val': 1}
  • id: 141258
    {'lmfdb_iso': '4032.r', 'p': 73, 'prec': 20, 'unit': 174145267132772587007503250480056419, 'val': 1}
  • id: 141253
    {'lmfdb_iso': '4032.r', 'p': 79, 'prec': 20, 'unit': 934630642313000772814133491787144492, 'val': 1}
  • id: 141246
    {'lmfdb_iso': '4032.r', 'p': 83, 'prec': 20, 'unit': 1916466656187314079311354257041707961, 'val': 1}
  • id: 141259
    {'lmfdb_iso': '4032.r', 'p': 89, 'prec': 20, 'unit': 5987499345786508366177988244472473016, 'val': 1}
  • id: 141245
    {'lmfdb_iso': '4032.r', 'p': 97, 'prec': 20, 'unit': 37269741221242852584556685746877281326, '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: 24582
    {'Ciso': '4032z', 'Clabel': '4032z6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 4794391461888, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [0, 0, 0, -1572780, -759189296], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 4032, 'degree': 27648, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0021278955970572674042531555', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '4032.r', 'lmfdb_label': '4032.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': 24, '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', '12.24.0-6.a.1.10', '18.36.0.a.1', '24.48.0-24.y.1.11', '28.6.0.c.1', '36.72.0-18.a.1.6', '56.12.0.k.1', '63.36.0.d.1', '72.144.1.?', '84.48.0.?', '126.108.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], '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': '6.6480983018562162780493425473', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235485', 'prec': 103}, 'szpiro_ratio': 6.554872588343934, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 24581
    {'Ciso': '4032z', 'Clabel': '4032z5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 350675489783808, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [0, 0, 0, -98220, -11882288], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 4032, 'degree': 13824, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6555543053170846126956370948', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '4032.r', 'lmfdb_label': '4032.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 24, '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', '12.24.0-6.a.1.2', '14.6.0.b.1', '18.36.0.a.1', '24.48.0-24.bw.1.13', '36.72.0-18.a.1.4', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '72.144.1.?', '84.48.0.?', '126.216.7.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], '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': '13.296196603712432556098685095', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294152', 'prec': 107}, 'szpiro_ratio': 5.553380573979442, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 24580
    {'Ciso': '4032z', 'Clabel': '4032z4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 179864592187392, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [0, 0, 0, -20460, -923312], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 4032, 'degree': 9216, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4528217512630024217066305370', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '4032.r', 'lmfdb_label': '4032.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': 24, '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', '12.72.0-6.a.1.4', '24.144.1-24.h.1.6', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.a.1', '84.144.1.?', '126.108.2.?', '168.288.5.?', '252.432.7.?', '504.864.21.?'], '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': '2.2160327672854054260164475158', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026365', 'prec': 107}, 'szpiro_ratio': 4.985810088557371, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 24578
    {'Ciso': '4032z', 'Clabel': '4032z2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 18728091648, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [0, 0, 0, -6060, 181456], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 4032, 'degree': 3072, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90351560692894757600900791856', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '4032.r', 'lmfdb_label': '4032.r4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 24, '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', '12.24.0-6.a.1.4', '18.36.0.a.1', '24.48.0-24.y.1.9', '28.6.0.c.1', '36.72.0-18.a.1.3', '56.12.0.k.1', '63.36.0.d.2', '72.144.1.?', '84.48.0.?', '126.108.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], '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': '0.73867758909513514200548250526', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288209', 'prec': 107}, 'szpiro_ratio': 4.546123500913666, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 24577
    {'Ciso': '4032z', 'Clabel': '4032z1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 5350883328, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [0, 0, 0, -300, 4048], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 4032, 'degree': 1536, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.55694201664897492130039185783', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '4032.r', 'lmfdb_label': '4032.r5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': 24, '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', '12.24.0-6.a.1.8', '14.6.0.b.1', '18.36.0.a.1', '24.48.0-24.bw.1.9', '36.72.0-18.a.1.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.2', '72.144.1.?', '84.48.0.?', '126.216.7.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4773551781902702840109650105', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 3.629852723773644, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 24579
    {'Ciso': '4032z', 'Clabel': '4032z3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 4195092529152, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [0, 0, 0, 2580, -84656], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 4032, 'degree': 4608, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1062481609830297669980144763', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '4032.r', 'lmfdb_label': '4032.r6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 24, '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', '12.72.0-6.a.1.2', '14.6.0.b.1', '24.144.1-24.n.1.2', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '84.144.1.?', '126.216.7.?', '168.288.5.?', '252.432.7.?', '504.864.21.?'], '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': '4.4320655345708108520328950315', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'szpiro_ratio': 4.362294673152629, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}