Elliptic curve isogeny class data - 59150.cd

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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, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, -2, 0], 'aplist': [1, 2, 0, 1, 0, 0, 0, -2, -6, 6, 4, 2, 0, -8, 0, -12, -6, -10, -4, -6, 2, 8, 12, 0, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 59150, 'isogeny_matrix': [[1, 2, 3, 9, 6, 18], [2, 1, 6, 18, 3, 9], [3, 6, 1, 3, 2, 6], [9, 18, 3, 1, 6, 2], [6, 3, 2, 6, 1, 3], [18, 9, 6, 2, 3, 1]], 'lmfdb_iso': '59150.cd', 'trace_hash': 2215356160138446355}
• ec_padic •

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

  
  
  • id: 3003114
    {'lmfdb_iso': '59150.cd', 'p': 19, 'prec': 20, 'unit': 781432110158177843448872, 'val': 1}
  • id: 3003125
    {'lmfdb_iso': '59150.cd', 'p': 23, 'prec': 20, 'unit': 70898945139764812644457149, 'val': 1}
  • id: 3003121
    {'lmfdb_iso': '59150.cd', 'p': 29, 'prec': 20, 'unit': 2203049493003467703758572676, 'val': 1}
  • id: 3003128
    {'lmfdb_iso': '59150.cd', 'p': 31, 'prec': 20, 'unit': 8637248854211859750617618569, 'val': 1}
  • id: 3003117
    {'lmfdb_iso': '59150.cd', 'p': 37, 'prec': 20, 'unit': 75399504136905835301519902276, 'val': 1}
  • id: 3003120
    {'lmfdb_iso': '59150.cd', 'p': 43, 'prec': 20, 'unit': 1114242600726057018362192751396, 'val': 1}
  • id: 3003124
    {'lmfdb_iso': '59150.cd', 'p': 53, 'prec': 20, 'unit': 164066404856278978695917784946651, 'val': 1}
  • id: 3003126
    {'lmfdb_iso': '59150.cd', 'p': 59, 'prec': 20, 'unit': 602463187929241905062760381262232, 'val': 1}
  • id: 3003127
    {'lmfdb_iso': '59150.cd', 'p': 61, 'prec': 20, 'unit': 1991482766204419275293152860746261, 'val': 1}
  • id: 3003116
    {'lmfdb_iso': '59150.cd', 'p': 67, 'prec': 20, 'unit': 36087386173899743275677052366172968, 'val': 1}
  • id: 3003118
    {'lmfdb_iso': '59150.cd', 'p': 71, 'prec': 20, 'unit': 14864205699703286148787263890848608, 'val': 1}
  • id: 3003119
    {'lmfdb_iso': '59150.cd', 'p': 73, 'prec': 20, 'unit': 41374101090322234229921192978460112, 'val': 1}
  • id: 3003122
    {'lmfdb_iso': '59150.cd', 'p': 79, 'prec': 20, 'unit': 118977952548885208462747702452330323, 'val': 1}
  • id: 3003123
    {'lmfdb_iso': '59150.cd', 'p': 83, 'prec': 20, 'unit': 688958692178983760090777272843897756, 'val': 1}
  • id: 3003115
    {'lmfdb_iso': '59150.cd', 'p': 97, 'prec': 20, 'unit': 49294548226927428222636436250843375628, '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
  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: 392180
    {'Ciso': '59150bx', 'Clabel': '59150bx6', 'Cnumber': 6, 'abc_quality': 1.0121384237365028, 'absD': 680698758006095886230468750, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 1, 1, -2235219438, -40656632425219], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 59150, 'degree': 41803776, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0967393744320972432212259548', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [16375858190544687071329, 9025573730468750], 'lmfdb_iso': '59150.cd', 'lmfdb_label': '59150.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -529046, -148084874], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '12.24.0-6.a.1.5', '18.36.0.a.1', '36.72.0-18.a.1.8', '56.6.0.a.1', '168.48.0.?', '195.8.0.?', '260.6.0.?', '390.24.0.?', '504.144.1.?', '585.24.0.?', '780.48.0.?', '819.36.0.?', '1170.72.0.?', '1638.108.2.?', '2340.144.1.?', '3276.216.2.?', '3640.12.0.?', '4095.72.0.?', '6552.432.7.?', '8190.216.2.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.325974595887471562013063907', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 29575], [5, 18, 2366], [7, 8, 8450], [13, 98, 350]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0095457394842786878941025674', 'prec': 100}, 'szpiro_ratio': 6.934618190976667, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 392179
    {'Ciso': '59150bx', 'Clabel': '59150bx5', 'Cnumber': 5, 'abc_quality': 1.0121276523788763, 'absD': 375326822875976562500, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 1, 1, -2234923688, -40667933624219], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 59150, 'degree': 20901888, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7501657841521245885126098941', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [16369358802802724130049, 4976562500], 'lmfdb_iso': '59150.cd', 'lmfdb_label': '59150.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -528976, -148126020], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '9.12.0.a.1', '18.72.0-18.a.1.3', '56.6.0.d.1', '130.6.0.?', '168.48.0.?', '195.8.0.?', '390.48.0.?', '504.144.1.?', '585.24.0.?', '819.36.0.?', '1170.144.1.?', '1638.216.2.?', '3640.12.0.?', '4095.72.0.?', '6552.432.7.?', '8190.432.7.?', '10920.96.1.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.1629872979437357810065319533', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [5, 18, 2366], [7, 8, 8450], [13, 98, 350]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6629721492043060331854865067', 'prec': 100}, 'szpiro_ratio': 6.934582063088975, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 392178
    {'Ciso': '59150bx', 'Clabel': '59150bx4', 'Cnumber': 4, 'abc_quality': 0.9816338064509004, 'absD': 15607896869162076171875000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 1, 1, -86004188, 241034475781], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 59150, 'degree': 13934592, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5474332300980423975236033364', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [932829715460155969, 206949435875000], 'lmfdb_iso': '59150.cd', 'lmfdb_label': '59150.cd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -20356, 876120], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '12.72.0-6.a.1.3', '56.6.0.a.1', '168.144.1.?', '195.24.0.?', '260.6.0.?', '390.72.0.?', '780.144.1.?', '819.36.0.?', '1638.108.2.?', '3276.216.2.?', '3640.12.0.?', '4095.72.0.?', '6552.432.7.?', '8190.216.2.?', '10920.288.5.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.1086581986291571873376879689', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 29575], [3, 2, 4225], [5, 18, 2366], [7, 8, 8450], [13, 98, 350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4602395951502238421964799490', 'prec': 100}, 'szpiro_ratio': 6.045171010535085, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 392176
    {'Ciso': '59150bx', 'Clabel': '59150bx2', 'Cnumber': 2, 'abc_quality': 0.9752031162957147, 'absD': 1142023009400000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 1, 1, -80765188, 279339339781], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 59150, 'degree': 4644864, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9981270857639875518259807179', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [772531501373731009, 15142400], 'lmfdb_iso': '59150.cd', 'lmfdb_label': '59150.cd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -19116, 1015696], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '12.24.0-6.a.1.11', '18.36.0.a.1', '36.72.0-18.a.1.11', '56.6.0.a.1', '168.48.0.?', '195.8.0.?', '260.6.0.?', '390.24.0.?', '504.144.1.?', '585.24.0.?', '780.48.0.?', '819.36.0.?', '1170.72.0.?', '1638.108.2.?', '2340.144.1.?', '3276.216.2.?', '3640.12.0.?', '4095.72.0.?', '6552.432.7.?', '8190.216.2.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0362193995430523957792293230', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 29575], [3, 2, 29575], [5, 18, 2366], [7, 8, 8450], [13, 98, 350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91093345081616899649885733051', 'prec': 103}, 'szpiro_ratio': 6.028011129758918, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 392177
    {'Ciso': '59150bx', 'Clabel': '59150bx3', 'Cnumber': 3, 'abc_quality': 0.9616074509807393, 'absD': 155951093341759625000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 1, 1, -28037188, -53901620219], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 59150, 'degree': 6967296, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2008596398180697428149872756', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [32318182904349889, 2067798824000], 'lmfdb_iso': '59150.cd', 'lmfdb_label': '59150.cd5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6636, -196784], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.72.0-6.a.1.2', '56.6.0.d.1', '130.6.0.?', '168.144.1.?', '195.24.0.?', '390.144.1.?', '819.36.0.?', '1638.216.2.?', '3640.12.0.?', '4095.72.0.?', '6552.432.7.?', '8190.432.7.?', '10920.288.5.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0543290993145785936688439844', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 2, 4225], [5, 18, 2366], [7, 8, 8450], [13, 98, 350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1136660048702511874878638882', 'prec': 100}, 'szpiro_ratio': 5.739142241511564, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 392175
    {'Ciso': '59150bx', 'Clabel': '59150bx1', 'Cnumber': 1, 'abc_quality': 0.931188760669257, 'absD': 62969391779840000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 1, 1, -5053188, 4353355781], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 59150, 'degree': 2322432, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6515534954840148971173646572', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [189208196468929, 834928640], 'lmfdb_iso': '59150.cd', 'lmfdb_label': '59150.cd6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, 15760], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '9.12.0.a.1', '18.72.0-18.a.1.4', '56.6.0.d.1', '130.6.0.?', '168.48.0.?', '195.8.0.?', '390.48.0.?', '504.144.1.?', '585.24.0.?', '819.36.0.?', '1170.144.1.?', '1638.216.2.?', '3640.12.0.?', '4095.72.0.?', '6552.432.7.?', '8190.432.7.?', '10920.96.1.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0181096997715261978896146615', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 2, 29575], [5, 18, 2366], [7, 8, 8450], [13, 98, 350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56435986053619634179024126980', 'prec': 103}, 'szpiro_ratio': 5.271303147071864, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}