Elliptic curve isogeny class data - 5040.k

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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, -1, 0, 1, 0, 0, 0, -4, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, 1, -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': 5040, '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': '5040.k', 'trace_hash': 1377249368158271592}
• lmfdb_iso 5040.k 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 31346
    {'Ciso': '5040bi', 'Clabel': '5040bi7', 'Cnumber': 7, 'abc_quality': 1.074666741320478, 'absD': 1075402137600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, -276595203, -1770578063998], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 393216, 'elladic_images': ['16.96.0.283'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0368827417895632020678929873', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.7', '12.12.0-4.c.1.2', '16.96.0-16.v.2.11', '24.96.0-24.bl.2.8', '48.192.1-48.dq.1.10', '160.192.2.?', '224.192.1.?', '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 8.2025192221017, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31344
    {'Ciso': '5040bi', 'Clabel': '5040bi5', 'Cnumber': 5, 'abc_quality': 1.05504045380176, 'absD': 387306079856640000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -17287203, -27665272798], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 196608, 'elladic_images': ['8.96.0.123'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6903091515095905473592769266', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.l.1.3', '12.24.0-4.b.1.3', '24.192.1-24.ch.1.2', '80.192.2.?', '112.192.1.?', '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 7.226846700918826, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 31347
    {'Ciso': '5040bi', 'Clabel': '5040bi8', 'Cnumber': 8, 'abc_quality': 1.0554678196515268, 'absD': 14884949843090920857600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, -17179203, -28028001598], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 393216, 'elladic_images': ['16.96.0.223'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0368827417895632020678929873', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.8', '12.12.0-4.c.1.2', '16.96.0-16.v.2.12', '24.96.0-24.bp.2.4', '48.192.1-48.eg.1.10', '80.192.2.?', '224.192.1.?', '240.384.5.?', '672.384.5.?', '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 7.229902489358101, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31343
    {'Ciso': '5040bi', 'Clabel': '5040bi4', 'Cnumber': 4, 'abc_quality': 1.0358020223701003, 'absD': 359903096443699200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, -2170083, 1230107618], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 98304, 'elladic_images': ['32.96.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3437355612296178926506608659', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.1', '16.48.0.v.1', '24.48.0-8.bb.1.1', '28.12.0.h.1', '32.96.0-16.v.1.3', '48.96.0-16.v.1.2', '56.48.0.bl.2', '80.96.2.?', '84.24.0.?', '96.192.1.?', '112.96.1.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.2.?', '336.192.1.?', '480.384.5.?', '560.192.5.?', '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': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 6.496584475991833, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31342
    {'Ciso': '5040bi', 'Clabel': '5040bi3', 'Cnumber': 3, 'abc_quality': 1.0288195344460926, 'absD': 3629482214400000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -1087203, -426592798], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 98304, 'elladic_images': ['8.96.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3437355612296178926506608659', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.c.1.7', '12.48.0-4.b.1.1', '24.192.1-24.w.2.6', '56.192.1-56.x.1.12', '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061260', 'prec': 100}, 'szpiro_ratio': 6.253366649432279, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 31341
    {'Ciso': '5040bi', 'Clabel': '5040bi2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 153593761628160000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -154083, 13653218], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 49152, 'elladic_images': ['16.96.0.48'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9971619709496452379420448051', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.2', '12.24.0-4.b.1.1', '16.96.0-8.l.2.5', '24.96.0-8.l.2.1', '28.24.0.c.1', '48.192.1-48.f.2.7', '56.96.1.cd.2', '80.192.2.?', '84.48.0.?', '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006518', 'prec': 103}, 'szpiro_ratio': 5.565800002468922, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 31340
    {'Ciso': '5040bi', 'Clabel': '5040bi1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 2773897917235200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, 30237, 1524962], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 24576, 'elladic_images': ['32.96.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6505883806696725832334287444', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.1', '14.6.0.b.1', '16.48.0.v.1', '24.48.0-8.bb.1.1', '28.12.0.g.1', '32.96.0-16.v.1.3', '48.96.0-16.v.1.2', '56.48.0.bh.2', '80.96.0.?', '84.24.0.?', '96.192.1.?', '112.96.1.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.2.?', '336.192.1.?', '480.384.5.?', '560.192.1.?', '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400448', 'prec': 103}, 'szpiro_ratio': 4.992758035546823, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31345
    {'Ciso': '5040bi', 'Clabel': '5040bi6', 'Cnumber': 6, 'abc_quality': 1.1083142308531486, 'absD': 803722500000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [0, 0, 0, 182877, -1363657822], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 5040, 'degree': 196608, 'elladic_images': ['16.96.0.202'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6903091515095905473592769266', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '5040.k', 'lmfdb_label': '5040.k8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.q.1.1', '12.24.0-4.d.1.1', '16.96.0-16.j.1.8', '24.96.0-24.be.1.1', '28.24.0-4.d.1.2', '48.192.1-48.bf.2.6', '56.96.0-56.bd.1.11', '84.48.0.?', '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, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.520699865460425, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}