Elliptic curve isogeny class data - 47040.dn

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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, 0, 10, 0, -6, 6, 4, 8, -6, -4, -10, -4, -16, 14, 8, -4, -10, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 47040, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '47040.dn', 'trace_hash': 2101520482659475810}
• ec_padic •

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

  
  
  • id: 2358252
    {'lmfdb_iso': '47040.dn', 'p': 11, 'prec': 20, 'unit': 1508477032590237374, 'val': 1}
  • id: 2358258
    {'lmfdb_iso': '47040.dn', 'p': 13, 'prec': 20, 'unit': 259931580049378919293, 'val': 1}
  • id: 2358260
    {'lmfdb_iso': '47040.dn', 'p': 17, 'prec': 20, 'unit': 84591741806669766997461, 'val': 1}
  • id: 2358261
    {'lmfdb_iso': '47040.dn', 'p': 19, 'prec': 20, 'unit': 1086989570023338935420785, 'val': 1}
  • id: 2358257
    {'lmfdb_iso': '47040.dn', 'p': 29, 'prec': 20, 'unit': 4080658220825922494946239572, 'val': 1}
  • id: 2358253
    {'lmfdb_iso': '47040.dn', 'p': 37, 'prec': 20, 'unit': 232449107620679778846122715940, 'val': 1}
  • id: 2358255
    {'lmfdb_iso': '47040.dn', 'p': 41, 'prec': 20, 'unit': 3678940388714991092577800440752, 'val': 1}
  • id: 2358256
    {'lmfdb_iso': '47040.dn', 'p': 43, 'prec': 20, 'unit': 7586579868356260734758159515060, 'val': 1}
  • id: 2358267
    {'lmfdb_iso': '47040.dn', 'p': 47, 'prec': 20, 'unit': 27538742629497498466771869632876, 'val': 1}
  • id: 2358262
    {'lmfdb_iso': '47040.dn', 'p': 53, 'prec': 20, 'unit': 542646187501937543248855448556508, 'val': 1}
  • id: 2358263
    {'lmfdb_iso': '47040.dn', 'p': 59, 'prec': 20, 'unit': 2704580464369885367301602474579828, 'val': 1}
  • id: 2358268
    {'lmfdb_iso': '47040.dn', 'p': 61, 'prec': 20, 'unit': 1386124893381444630913551168574706, 'val': 1}
  • id: 2358251
    {'lmfdb_iso': '47040.dn', 'p': 67, 'prec': 20, 'unit': 10856812629817188124715988882766533, 'val': 1}
  • id: 2358254
    {'lmfdb_iso': '47040.dn', 'p': 71, 'prec': 20, 'unit': 29657714862145458852950432651375157, 'val': 1}
  • id: 2358264
    {'lmfdb_iso': '47040.dn', 'p': 73, 'prec': 20, 'unit': 88284925888892052874317107443743536, 'val': 1}
  • id: 2358259
    {'lmfdb_iso': '47040.dn', 'p': 79, 'prec': 20, 'unit': 246534818396358512115739497655589932, 'val': 1}
  • id: 2358265
    {'lmfdb_iso': '47040.dn', 'p': 83, 'prec': 20, 'unit': 2546375798631385803290879721700360338, 'val': 1}
  • id: 2358266
    {'lmfdb_iso': '47040.dn', 'p': 89, 'prec': 20, 'unit': 4907580113973666582226143542742750914, 'val': 1}
  • id: 2358250
    {'lmfdb_iso': '47040.dn', 'p': 97, 'prec': 20, 'unit': 50393725278776967997521742297607822122, '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: 312796
    {'Ciso': '47040bm', 'Clabel': '47040bm6', 'Cnumber': 6, 'abc_quality': 0.9945848677395916, 'absD': 24787589110824960, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -2054145, 1133828865], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 47040, 'degree': 786432, 'elladic_images': ['8.24.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2524437385863053520825287859', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62161150998242, 1607445], 'lmfdb_iso': '47040.dn', 'lmfdb_label': '47040.dn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10480, -409460], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '40.48.0-40.bp.1.11', '48.48.0-48.e.1.29', '56.48.0-56.bu.2.7', '140.12.0.?', '240.96.0.?', '280.96.0.?', '336.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.0499250989529452206803052704', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 245], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29753015826539284452210690878', 'prec': 103}, 'szpiro_ratio': 5.132538251625863, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312794
    {'Ciso': '47040bm', 'Clabel': '47040bm4', 'Cnumber': 4, 'abc_quality': 0.9425087047318286, 'absD': 37487403284889600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -133345, 16307425], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 47040, 'degree': 393216, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9058701483063326973739127252', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 4], 'jinv': [34008619684, 4862025], 'lmfdb_iso': '47040.dn', 'lmfdb_label': '47040.dn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -680, -5700], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '24.48.0-24.i.2.8', '40.48.0-40.e.1.15', '56.48.0-56.h.2.8', '120.96.0.?', '140.24.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0249625494764726103401526352', 'prec': 100}, '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': '0.0087188330320822989315935248672', 'prec': 110}, 'szpiro_ratio': 4.369994653376807, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 312792
    {'Ciso': '47040bm', 'Clabel': '47040bm2', 'Cnumber': 2, 'abc_quality': 0.9000658191294795, 'absD': 531284060160000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -35345, -2292975], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 47040, 'degree': 196608, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5592965580263600426652966644', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 4], 'jinv': [2533446736, 275625], 'lmfdb_iso': '47040.dn', 'lmfdb_label': '47040.dn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -180, 900], 'min_quad_twist_disc': -56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '24.48.0-24.i.1.15', '40.48.0-40.l.1.14', '56.48.0-56.h.1.14', '84.24.0.?', '120.96.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0124812747382363051700763176', 'prec': 100}, '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': '-0.22233022715456613754081718236', 'prec': 107}, 'szpiro_ratio': 3.9997540282599298, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 312791
    {'Ciso': '47040bm', 'Clabel': '47040bm1', 'Cnumber': 1, 'abc_quality': 0.9605836908258326, 'absD': 63248102400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -34365, -2440563], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 47040, 'degree': 98304, 'elladic_images': ['16.24.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2127229677463873879566806037', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [37256083456, 525], 'lmfdb_iso': '47040.dn', 'lmfdb_label': '47040.dn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 952], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.2', '24.24.0-8.n.1.6', '40.24.0-8.n.1.7', '42.6.0.a.1', '48.48.0-48.e.2.14', '56.24.0-8.n.1.2', '80.48.0.?', '84.12.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0249625494764726103401526352', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33785475724789035577702253590', 'prec': 107}, 'szpiro_ratio': 3.991913510519756, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312793
    {'Ciso': '47040bm', 'Clabel': '47040bm3', 'Cnumber': 3, 'abc_quality': 0.9617149979611352, 'absD': 63248102400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 46975, -11463423], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 47040, 'degree': 393216, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9058701483063326973739127252', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1486779836, 8203125], 'lmfdb_iso': '47040.dn', 'lmfdb_label': '47040.dn5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 240, 4092], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '24.48.0-24.bz.2.12', '56.48.0-56.bu.1.10', '80.48.0.?', '84.12.0.?', '168.96.0.?', '240.96.0.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0249625494764726103401526352', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0087188330320822989315935248672', 'prec': 110}, 'szpiro_ratio': 4.278353926767511, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 312795
    {'Ciso': '47040bm', 'Clabel': '47040bm5', 'Cnumber': 5, 'abc_quality': 0.9884224063998598, 'absD': 4000322457200885760, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 219455, 87643585], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 47040, 'degree': 786432, 'elladic_images': ['16.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2524437385863053520825287859', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [75798394558, 259416045], 'lmfdb_iso': '47040.dn', 'lmfdb_label': '47040.dn6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1120, -32340], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.4', '24.24.0.bz.1', '40.24.0.bl.1', '48.48.0-24.bz.1.1', '56.24.0-8.n.1.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.0499250989529452206803052704', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 245], [3, 4, 15680], [5, 6, 9408], [7, 32, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29753015826539284452210690878', 'prec': 103}, 'szpiro_ratio': 4.656895588287878, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}