Elliptic curve isogeny class data - 13872.p

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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, 0, 0, 1, 0, 4, 0, -2, 0, -2, 0, 0, 0, 4, 0], 'aplist': [0, -1, 2, 0, 4, -2, 0, 4, -8, -6, 8, -6, 6, -4, 0, -2, -4, 2, 4, 8, -10, -8, 4, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 13872, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '13872.p', 'trace_hash': 23450581873950653}
• ec_padic •

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

  
  
  • id: 615290
    {'lmfdb_iso': '13872.p', 'p': 5, 'prec': 20, 'unit': 16455395416538, 'val': 1}
  • id: 615298
    {'lmfdb_iso': '13872.p', 'p': 11, 'prec': 20, 'unit': 18082104020987402358, 'val': 1}
  • id: 615296
    {'lmfdb_iso': '13872.p', 'p': 13, 'prec': 20, 'unit': 688258922598308774780, 'val': 1}
  • id: 615299
    {'lmfdb_iso': '13872.p', 'p': 19, 'prec': 20, 'unit': 1261630861452738369216367, 'val': 1}
  • id: 615302
    {'lmfdb_iso': '13872.p', 'p': 23, 'prec': 20, 'unit': 15105938140917997660371787, 'val': 1}
  • id: 615295
    {'lmfdb_iso': '13872.p', 'p': 29, 'prec': 20, 'unit': 4310741536835704775625379802, 'val': 1}
  • id: 615292
    {'lmfdb_iso': '13872.p', 'p': 31, 'prec': 20, 'unit': 14785814331886960118534425960, 'val': 1}
  • id: 615306
    {'lmfdb_iso': '13872.p', 'p': 37, 'prec': 20, 'unit': 565020651089979759363084821241, 'val': 1}
  • id: 615293
    {'lmfdb_iso': '13872.p', 'p': 41, 'prec': 20, 'unit': 1772962474785686989637058751471, 'val': 1}
  • id: 615294
    {'lmfdb_iso': '13872.p', 'p': 43, 'prec': 20, 'unit': 10460540203890166691897845710299, 'val': 1}
  • id: 615300
    {'lmfdb_iso': '13872.p', 'p': 53, 'prec': 20, 'unit': 370012243158852913402277741701980, 'val': 1}
  • id: 615304
    {'lmfdb_iso': '13872.p', 'p': 59, 'prec': 20, 'unit': 1110677819658225554093866065303897, 'val': 1}
  • id: 615305
    {'lmfdb_iso': '13872.p', 'p': 61, 'prec': 20, 'unit': 7292035892168065199703844553379703, 'val': 1}
  • id: 615289
    {'lmfdb_iso': '13872.p', 'p': 67, 'prec': 20, 'unit': 7247479112511580298428965537298567, 'val': 1}
  • id: 615291
    {'lmfdb_iso': '13872.p', 'p': 71, 'prec': 20, 'unit': 137404834356953179060072258799701006, 'val': 1}
  • id: 615301
    {'lmfdb_iso': '13872.p', 'p': 73, 'prec': 20, 'unit': 55250446887558757533047125996742699, 'val': 1}
  • id: 615297
    {'lmfdb_iso': '13872.p', 'p': 79, 'prec': 20, 'unit': 234008798190252303735755730028376493, 'val': 1}
  • id: 615288
    {'lmfdb_iso': '13872.p', 'p': 83, 'prec': 20, 'unit': 571277509584922015896954426024123587, 'val': 1}
  • id: 615303
    {'lmfdb_iso': '13872.p', 'p': 89, 'prec': 20, 'unit': 8583641540755775029970953459532643609, 'val': 1}
  • id: 615287
    {'lmfdb_iso': '13872.p', 'p': 97, 'prec': 20, 'unit': 19373340911805218752489957326652080499, '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: 90866
    {'Ciso': '13872b', 'Clabel': '13872b5', 'Cnumber': 5, 'abc_quality': 1.2105879594055395, 'absD': 444903671808, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, -1, 0, -111072, 14285088], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 40960, 'elladic_images': ['16.48.0.210'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4644015665081960768829887536', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '13872.p', 'lmfdb_label': '13872.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '16.48.0.l.1', '24.48.0.bf.1', '48.96.1.bv.1', '68.12.0-4.c.1.2', '136.48.0.?', '272.96.0.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4923037429143936415033531628', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 4624], [17, 146, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800001', 'prec': 107}, 'szpiro_ratio': 4.87200960849382, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 90864
    {'Ciso': '13872b', 'Clabel': '13872b3', 'Cnumber': 3, 'abc_quality': 1.0561716345991692, 'absD': 74150611968, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, -1, 0, -18592, -969488], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 20480, 'elladic_images': ['16.48.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1178279762282234221743726928', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '13872.p', 'lmfdb_label': '13872.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0.h.1', '16.48.0.bb.2', '24.48.0.bn.1', '48.96.1.em.1', '68.12.0-4.c.1.1', '136.48.0.?', '204.24.0.?', '272.96.0.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.938429943315149132026825302', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 867], [3, 4, 4624], [17, 146, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138402', 'prec': 107}, 'szpiro_ratio': 4.309784161735889, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 90865
    {'Ciso': '13872b', 'Clabel': '13872b4', 'Cnumber': 4, 'abc_quality': 1.0321229303519712, 'absD': 2002066523136, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [0, -1, 0, -7032, 218880], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 20480, 'elladic_images': ['8.48.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1178279762282234221743726928', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [1556068, 81], 'lmfdb_iso': '13872.p', 'lmfdb_label': '13872.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, -36], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.e.2', '24.96.1.bl.2', '68.24.0-4.b.1.3', '136.96.0.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9846074858287872830067063256', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 4, 4624], [17, 146, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138402', 'prec': 107}, 'szpiro_ratio': 4.003975177016441, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 90863
    {'Ciso': '13872b', 'Clabel': '13872b2', 'Cnumber': 2, 'abc_quality': 0.972547111469975, 'absD': 55612958976, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [0, -1, 0, -1252, -12320], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 10240, 'elladic_images': ['8.48.0.138'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77125438594825076746575663211', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '13872.p', 'lmfdb_label': '13872.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.h.1', '12.24.0.c.1', '24.96.1.bu.1', '68.24.0-4.b.1.1', '136.96.0.?', '204.48.0.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9692149716575745660134126512', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 4, 4624], [17, 146, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 3.461226978573732, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 90862
    {'Ciso': '13872b', 'Clabel': '13872b1', 'Cnumber': 1, 'abc_quality': 1.1757189916348774, 'absD': 1158603312, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, -1, 0, 193, -1338], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 5120, 'elladic_images': ['16.48.0.150'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42468079566827811275714057138', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '13872.p', 'lmfdb_label': '13872.p5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.ba.1', '12.12.0.g.1', '16.48.0.y.1', '24.48.0.bi.2', '48.96.1.dt.1', '68.12.0-4.c.1.1', '136.48.0.?', '204.24.0.?', '272.96.0.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.938429943315149132026825302', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 867], [3, 4, 4624], [17, 146, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 2.9171375782371154, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 90867
    {'Ciso': '13872b', 'Clabel': '13872b6', 'Cnumber': 6, 'abc_quality': 1.1597991410868231, 'absD': 324334776748032, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, -1, 0, 4528, 856992], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 40960, 'elladic_images': ['8.48.0.218'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4644015665081960768829887536', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '13872.p', 'lmfdb_label': '13872.p6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.1', '48.96.1.w.2', '68.12.0-4.c.1.2', '136.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4923037429143936415033531628', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 4624], [17, 146, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800001', 'prec': 107}, 'szpiro_ratio': 4.282934255660648, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}