Elliptic curve isogeny class data - 47040.ha

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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, 1, 0, 0, 0, 1, 0, 4, 0, -2, 0, 1, 0, -2, 0, 4, 0], 'aplist': [0, 1, 1, 0, 4, -2, -2, 4, -8, 2, 0, -6, 6, 4, 0, 10, 12, 14, 12, -8, -10, 16, -12, -10, -2], 'class_deg': 16, 'class_size': 8, 'conductor': 47040, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '47040.ha', 'trace_hash': 1026332402822852115}
• lmfdb_iso 47040.ha does not appear in ec_padic
• 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 312945
    {'Ciso': '47040dm', 'Clabel': '47040dm8', 'Cnumber': 8, 'abc_quality': 1.074666741320478, 'absD': 11107378751078400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 1, 0, -6023628865, 179941184998175], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 18874368, 'elladic_images': ['32.96.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8071052622631376636315628013', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.v.2', '24.48.0.bl.2', '32.96.0-16.v.2.8', '48.96.1.dq.1', '56.48.0-8.bb.2.8', '80.96.0.?', '84.12.0.?', '96.192.1.?', '112.96.0.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.1.?', '336.192.1.?', '480.384.5.?', '560.192.2.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 7.358702806390544, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312943
    {'Ciso': '47040dm', 'Clabel': '47040dm6', 'Cnumber': 6, 'abc_quality': 1.05504045380176, 'absD': 4000322457200885760000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -376476865, 2811485935775], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 9437184, 'elladic_images': ['16.96.0.77'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4605316719831650089229467406', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.1', '16.96.0-8.l.1.4', '24.96.1.ch.1', '48.192.1-24.ch.1.12', '56.96.0-8.l.1.6', '80.192.2.?', '84.24.0.?', '112.192.1.?', '168.192.1.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.585586700068062, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 312944
    {'Ciso': '47040dm', 'Clabel': '47040dm7', 'Cnumber': 7, 'abc_quality': 1.0554678196515268, 'absD': 153740419343960822867558400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 1, 0, -374124865, 2848350713375], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 18874368, 'elladic_images': ['32.96.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8071052622631376636315628013', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.v.2', '24.48.0.bp.2', '32.96.0-16.v.2.8', '48.96.1.eg.1', '56.48.0-8.bb.2.8', '80.96.2.?', '84.12.0.?', '96.192.1.?', '112.96.0.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.5.?', '336.192.1.?', '480.384.5.?', '560.192.2.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 6.588008085531551, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312941
    {'Ciso': '47040dm', 'Clabel': '47040dm4', 'Cnumber': 4, 'abc_quality': 1.0358020223701003, 'absD': 3717288506425658572800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 1, 0, -47259585, -125031134817], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 4718592, 'elladic_images': ['16.96.0.241'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1139580817031923542143306799', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.4', '16.96.0-16.v.1.7', '28.12.0.h.1', '56.96.0-56.bl.2.4', '80.192.2.?', '96.192.1.?', '112.192.1.?', '480.384.5.?', '560.384.5.?', '672.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 6.0069320022341275, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312940
    {'Ciso': '47040dm', 'Clabel': '47040dm3', 'Cnumber': 3, 'abc_quality': 1.0288195344460926, 'absD': 37487403284889600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -23676865, 43346575775], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 4718592, 'elladic_images': ['8.96.0.71'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1139580817031923542143306799', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.c.1.6', '24.192.1-24.w.2.11', '56.192.1-56.x.1.5', '80.192.2.?', '168.384.5.?', '240.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 5.814207891453626, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 312939
    {'Ciso': '47040dm', 'Clabel': '47040dm2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 1586405703092797440000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -3355585, -1388690017], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 2359296, 'elladic_images': ['8.96.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7673844914232196995057146191', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.l.2.6', '28.24.0.c.1', '48.192.1-48.f.2.19', '56.192.1-56.cd.2.2', '80.192.2.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006519', 'prec': 103}, 'szpiro_ratio': 5.269384872052549, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 312938
    {'Ciso': '47040dm', 'Clabel': '47040dm1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 28650431039982796800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 1, 0, 658495, -154761825], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 1179648, 'elladic_images': ['16.96.0.257'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4208109011432470447970985584', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.2', '14.6.0.b.1', '16.96.0-16.v.1.3', '28.12.0.g.1', '56.96.0-56.bh.2.6', '96.192.1.?', '112.192.1.?', '160.192.2.?', '240.192.2.?', '480.384.5.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400449', 'prec': 103}, 'szpiro_ratio': 4.815310410993548, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312942
    {'Ciso': '47040dm', 'Clabel': '47040dm5', 'Cnumber': 5, 'abc_quality': 1.1083142308531486, 'absD': 8301313440000000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 1, 0, 3982655, 138589366943], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 47040, 'degree': 9437184, 'elladic_images': ['16.96.0.192'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4605316719831650089229467406', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '47040.ha', 'lmfdb_label': '47040.ha8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.q.1.4', '16.96.0-16.j.1.3', '24.96.0-24.be.1.6', '48.192.1-48.bf.2.10', '56.96.0-56.bd.1.8', '84.24.0.?', '112.192.1.?', '160.192.2.?', '168.192.1.?', '336.384.5.?', '480.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.026040868788865, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}