Elliptic curve isogeny class data - 40656.l

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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, -1, 0, -2, 0, -1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 6, 0, 4, 0], 'aplist': [0, -1, -2, -1, 0, 2, 6, 4, 0, 2, 0, 6, -2, -4, 0, 6, -12, 2, -4, 0, 6, -16, -12, -14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 40656, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '40656.l', 'trace_hash': 815571510308297761}
• ec_padic •

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

  
  
  • id: 2015337
    {'lmfdb_iso': '40656.l', 'p': 5, 'prec': 20, 'unit': 16793227182176, 'val': 1}
  • id: 2015328
    {'lmfdb_iso': '40656.l', 'p': 13, 'prec': 20, 'unit': 1148728749151652702680, 'val': 1}
  • id: 2015330
    {'lmfdb_iso': '40656.l', 'p': 17, 'prec': 20, 'unit': 35311430589398605776164, 'val': 1}
  • id: 2015321
    {'lmfdb_iso': '40656.l', 'p': 19, 'prec': 20, 'unit': 300051829682391342211728, 'val': 1}
  • id: 2015327
    {'lmfdb_iso': '40656.l', 'p': 29, 'prec': 20, 'unit': 3745183436025734335715045359, 'val': 1}
  • id: 2015324
    {'lmfdb_iso': '40656.l', 'p': 37, 'prec': 20, 'unit': 577127358413897337741884038534, 'val': 1}
  • id: 2015325
    {'lmfdb_iso': '40656.l', 'p': 41, 'prec': 20, 'unit': 3919415737008680786804768465822, 'val': 1}
  • id: 2015326
    {'lmfdb_iso': '40656.l', 'p': 43, 'prec': 20, 'unit': 4625265443528455111301781933228, 'val': 1}
  • id: 2015332
    {'lmfdb_iso': '40656.l', 'p': 53, 'prec': 20, 'unit': 280064887607406713828256863290856, 'val': 1}
  • id: 2015335
    {'lmfdb_iso': '40656.l', 'p': 59, 'prec': 20, 'unit': 225980630763358899876503941807697, 'val': 1}
  • id: 2015336
    {'lmfdb_iso': '40656.l', 'p': 61, 'prec': 20, 'unit': 2324652464757367992562372716902075, 'val': 1}
  • id: 2015323
    {'lmfdb_iso': '40656.l', 'p': 67, 'prec': 20, 'unit': 10526879518206807078131652757793419, 'val': 1}
  • id: 2015333
    {'lmfdb_iso': '40656.l', 'p': 73, 'prec': 20, 'unit': 34380494814744417028474526148732723, 'val': 1}
  • id: 2015329
    {'lmfdb_iso': '40656.l', 'p': 79, 'prec': 20, 'unit': 726825949196448686499219456452252214, 'val': 1}
  • id: 2015331
    {'lmfdb_iso': '40656.l', 'p': 83, 'prec': 20, 'unit': 497386557810690181296194905018590069, 'val': 1}
  • id: 2015334
    {'lmfdb_iso': '40656.l', 'p': 89, 'prec': 20, 'unit': 10384361923078842073561228633713903724, 'val': 1}
  • id: 2015322
    {'lmfdb_iso': '40656.l', 'p': 97, 'prec': 20, 'unit': 19262230345376966434993436062006644920, '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: 270482
    {'Ciso': '40656bk', 'Clabel': '40656bk6', 'Cnumber': 6, 'abc_quality': 1.0508747826837916, 'absD': 1066678136832, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, -1, 0, -1517864, -719270352], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40656, 'degree': 327680, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9663002003500703522064697651', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53297461115137, 147], 'lmfdb_iso': '40656.l', 'lmfdb_label': '40656.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -784, -8515], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '16.24.0.e.2', '24.24.0.bl.1', '44.12.0-4.c.1.2', '48.48.0.y.1', '56.24.0.bu.1', '88.24.0.?', '112.48.0.?', '132.24.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.1.?', '528.96.0.?', '616.48.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.7937796847420178826654980381', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854659', 'prec': 107}, 'szpiro_ratio': 5.117549292589768, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 270480
    {'Ciso': '40656bk', 'Clabel': '40656bk4', 'Cnumber': 4, 'abc_quality': 1.0814902740568197, 'absD': 156801686114304, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -94904, -11205456], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40656, 'degree': 163840, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6197266100700976974978537044', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [13027640977, 21609], 'lmfdb_iso': '40656.l', 'lmfdb_label': '40656.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49, -136], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '12.24.0.c.1', '24.48.0.j.2', '44.24.0-4.b.1.3', '56.48.0.u.1', '88.48.0.?', '132.48.0.?', '168.96.1.?', '264.96.0.?', '616.96.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8968898423710089413327490190', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020604', 'prec': 107}, 'szpiro_ratio': 4.33392094318515, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 270479
    {'Ciso': '40656bk', 'Clabel': '40656bk3', 'Cnumber': 3, 'abc_quality': 1.0015974661127929, 'absD': 333260726464512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, -1, 0, -75544, 7968688], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40656, 'degree': 163840, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6197266100700976974978537044', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '40656.l', 'lmfdb_label': '40656.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '28.12.0.h.1', '44.12.0-4.c.1.1', '48.48.0.bf.1', '56.48.0.bl.2', '88.48.0.?', '308.24.0.?', '336.96.1.?', '528.96.0.?', '616.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8968898423710089413327490190', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020604', 'prec': 107}, 'szpiro_ratio': 4.269428773386645, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 270481
    {'Ciso': '40656bk', 'Clabel': '40656bk5', 'Cnumber': 5, 'abc_quality': 1.042661241253942, 'absD': 125493616120147968, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, -1, 0, -65864, -18221520], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40656, 'degree': 327680, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9663002003500703522064697651', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '40656.l', 'lmfdb_label': '40656.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.bb.2', '12.12.0.g.1', '24.48.0.bj.1', '44.12.0-4.c.1.2', '88.48.0.?', '112.48.0.?', '132.24.0.?', '264.96.0.?', '336.96.1.?', '1232.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.7937796847420178826654980381', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854659', 'prec': 107}, 'szpiro_ratio': 4.424970935537315, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 270478
    {'Ciso': '40656bk', 'Clabel': '40656bk2', 'Cnumber': 2, 'abc_quality': 1.1486166056524132, 'absD': 28800309694464, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -7784, -54096], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40656, 'degree': 81920, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2731530197901250427892376437', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [7189057, 3969], 'lmfdb_iso': '40656.l', 'lmfdb_label': '40656.l5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4, -1], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '24.48.0.w.2', '28.24.0.c.1', '44.24.0-4.b.1.1', '56.48.0.i.1', '88.48.0.?', '168.96.1.?', '264.96.0.?', '308.48.0.?', '616.96.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9484449211855044706663745095', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61894179716900553865896626674', 'prec': 107}, 'szpiro_ratio': 3.62702015322145, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 270477
    {'Ciso': '40656bk', 'Clabel': '40656bk1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 457147772928, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, -1, 0, 1896, -7632], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40656, 'degree': 40960, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92657942951015238808062158293', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '40656.l', 'lmfdb_label': '40656.l6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '14.6.0.b.1', '16.24.0.e.1', '24.24.0.bz.1', '28.12.0.g.1', '44.12.0-4.c.1.1', '48.48.0.bd.1', '56.24.0.bf.1', '88.24.0.?', '112.48.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '308.24.0.?', '336.96.1.?', '528.96.0.?', '616.48.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.97422246059275223533318725476', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232751', 'prec': 107}, 'szpiro_ratio': 3.2277299421979704, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}