Elliptic curve isogeny class data - 46410.ck

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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, 1, 1, 1, 1, 1, -1, 1, 1, 1, -4, 1, 1, -1, 1, 1, 1, 1, 4, 1], 'aplist': [1, 1, 1, -1, -4, 1, 1, 4, 8, -2, 0, 6, 10, -4, 0, -10, -4, -2, 4, 8, 10, -16, -12, 10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 46410, 'isogeny_matrix': [[1, 2, 16, 4, 4, 8, 16, 8], [2, 1, 8, 2, 2, 4, 8, 4], [16, 8, 1, 16, 4, 2, 4, 8], [4, 2, 16, 1, 4, 8, 16, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 2, 8, 2, 1, 2, 4], [16, 8, 4, 16, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '46410.ck', 'trace_hash': 531146406689786248}
• lmfdb_iso 46410.ck 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: 308865
    {'Ciso': '46410cn', 'Clabel': '46410cn8', 'Cnumber': 8, 'abc_quality': 1.0263816719000685, 'absD': 14072533302105480763470, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [1, 0, 0, -2258527940, -41313148043070], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 25165824, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8193588633929407767282544375', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1274090022584975661628188489514561, 14072533302105480763470], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2258527940, -41313148043070], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '16.96.0-16.v.2.5', '120.96.0.?', '240.192.1.?', '3808.192.1.?', '8736.192.2.?', '10608.192.2.?', '14560.192.2.?', '17680.192.2.?', '43680.384.5.?', '53040.384.5.?', '57120.384.5.?', '148512.384.5.?', '247520.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 15], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 64, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.8193588633929407767282544375', 'prec': 100}, 'szpiro_ratio': 7.0940552110218995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 308863
    {'Ciso': '46410cn', 'Clabel': '46410cn6', 'Cnumber': 6, 'abc_quality': 1.0085585396011327, 'absD': 1033693082103011001480900, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 371280, 'ainvs': [1, 0, 0, -141270590, -644445412800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 12582912, 'elladic_images': ['8.96.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4727852731129681220196383768', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [311802066473807207098058600161, 1033693082103011001480900], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -141270590, -644445412800], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.l.1.1', '120.192.1.?', '1904.192.1.?', '4368.192.2.?', '7280.192.2.?', '10608.192.2.?', '17680.192.2.?', '21840.384.5.?', '28560.384.5.?', '53040.384.5.?', '74256.384.5.?', '123760.384.5.?', '371280.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4727852731129681220196383768', 'prec': 100}, 'szpiro_ratio': 6.320191547279109, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 308861
    {'Ciso': '46410cn', 'Clabel': '46410cn4', 'Cnumber': 4, 'abc_quality': 1.0084010450121792, 'absD': 3977028808593750000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [1, 0, 0, -139015370, 630861993012], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 6291456, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1262116828329954673110223161', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [297106512928238351998640242081, 3977028808593750000], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -139015370, 630861993012], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '476.24.0.?', '480.192.1.?', '952.96.0.?', '1904.192.1.?', '4368.192.2.?', '10608.192.2.?', '14560.192.2.?', '35360.192.2.?', '43680.384.5.?', '57120.384.5.?', '74256.384.5.?', '106080.384.5.?', '247520.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 119], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1262116828329954673110223161', 'prec': 100}, 'szpiro_ratio': 6.315698604875459, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 308864
    {'Ciso': '46410cn', 'Clabel': '46410cn7', 'Cnumber': 7, 'abc_quality': 1.0260946324567908, 'absD': 592356094985924086700006670, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [1, 0, 0, -80405240, -1203420614130], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 25165824, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8193588633929407767282544375', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-57487943130312093140621093761, 592356094985924086700006670], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -80405240, -1203420614130], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '16.96.0-16.v.2.5', '120.96.0.?', '240.192.1.?', '3808.192.1.?', '4368.192.2.?', '7280.192.2.?', '21216.192.2.?', '21840.384.5.?', '35360.192.2.?', '57120.384.5.?', '106080.384.5.?', '148512.384.5.?', '247520.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 15], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.8193588633929407767282544375', 'prec': 100}, 'szpiro_ratio': 6.435902603309871, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 308860
    {'Ciso': '46410cn', 'Clabel': '46410cn3', 'Cnumber': 3, 'abc_quality': 1.063140702220356, 'absD': 132501160769452503210000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 371280, 'ainvs': [1, 0, 0, -12746090, -254913900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 6291456, 'elladic_images': ['8.96.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1262116828329954673110223161', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [229010110533436633465952161, 132501160769452503210000], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12746090, -254913900], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '8.96.0-8.c.1.1', '120.192.1.?', '952.192.1.?', '4368.192.2.?', '7280.192.2.?', '10608.192.2.?', '14280.384.5.?', '17680.192.2.?', '21840.384.5.?', '53040.384.5.?', '74256.384.5.?', '123760.384.5.?', '371280.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1262116828329954673110223161', 'prec': 100}, 'szpiro_ratio': 5.648606975295387, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 308859
    {'Ciso': '46410cn', 'Clabel': '46410cn2', 'Cnumber': 2, 'abc_quality': 0.9864606854599206, 'absD': 265361167808100000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 371280, 'ainvs': [1, 0, 0, -8696090, 9838496100], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 3145728, 'elladic_images': ['8.96.0.40'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7796380925530228126024062553', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [72727020009972527154752161, 265361167808100000000], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8696090, 9838496100], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.l.2.2', '240.192.1.?', '476.48.0.?', '952.192.1.?', '4368.192.2.?', '7280.192.2.?', '10608.192.2.?', '17680.192.2.?', '21840.384.5.?', '28560.384.5.?', '53040.384.5.?', '74256.384.5.?', '123760.384.5.?', '371280.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7796380925530228126024062553', 'prec': 100}, 'szpiro_ratio': 5.541857387003143, 'torsion': 16, 'torsion_primes': [2], 'torsion_structure': [2, 8]}
  • id: 308858
    {'Ciso': '46410cn', 'Clabel': '46410cn1', 'Cnumber': 1, 'abc_quality': 0.9819893668946688, 'absD': 35459588343029760000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [1, 0, 0, -298010, 293238372], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 1572864, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4330645022730501578937901946', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-2926956820564562516641, 35459588343029760000], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -298010, 293238372], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '238.6.0.?', '476.24.0.?', '480.192.1.?', '952.96.0.?', '1904.192.1.?', '7280.192.2.?', '8736.192.2.?', '17680.192.2.?', '21216.192.2.?', '43680.384.5.?', '57120.384.5.?', '106080.384.5.?', '123760.384.5.?', '148512.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 119], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4330645022730501578937901946', 'prec': 100}, 'szpiro_ratio': 4.887388270298735, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 308862
    {'Ciso': '46410cn', 'Clabel': '46410cn5', 'Cnumber': 5, 'abc_quality': 1.070974036311186, 'absD': 8480668142378708755560900, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [1, 0, 0, 50978410, -2026455000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 12582912, 'elladic_images': ['16.96.0.25'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4727852731129681220196383768', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [14651516183052242700771495839, 8480668142378708755560900], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 50978410, -2026455000], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.48.0-8.q.1.2', '16.96.0-16.j.1.2', '120.96.0.?', '240.192.1.?', '952.96.0.?', '1904.192.1.?', '7140.48.0.?', '8736.192.2.?', '14280.192.1.?', '14560.192.2.?', '21216.192.2.?', '28560.384.5.?', '35360.192.2.?', '43680.384.5.?', '106080.384.5.?', '148512.384.5.?', '247520.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4727852731129681220196383768', 'prec': 100}, 'szpiro_ratio': 6.03561752594285, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}