Elliptic curve isogeny class data - 95550.iw

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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, 0, 1, 0, 1, 1, 0, -6, 1, 1, 0, 0, 1, 6, 1, -2, 0], 'aplist': [1, 1, 0, 0, -6, 1, 6, -2, 0, 0, 4, -2, 6, -8, 0, 6, -12, -8, -14, 12, 2, 8, -6, 6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 95550, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '95550.iw', 'trace_hash': 1059059249555799164}
• ec_padic •

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

  
  
  • id: 4969408
    {'lmfdb_iso': '95550.iw', 'p': 11, 'prec': 20, 'unit': 47068201191840009132, 'val': 1}
  • id: 4969409
    {'lmfdb_iso': '95550.iw', 'p': 17, 'prec': 20, 'unit': 115435101204645382530548, 'val': 1}
  • id: 4969410
    {'lmfdb_iso': '95550.iw', 'p': 19, 'prec': 20, 'unit': 1514807773051694769004927, 'val': 1}
  • id: 4969416
    {'lmfdb_iso': '95550.iw', 'p': 31, 'prec': 20, 'unit': 10720329774815020976566044086, 'val': 1}
  • id: 4969403
    {'lmfdb_iso': '95550.iw', 'p': 37, 'prec': 20, 'unit': 23560457321836456055398234159, 'val': 1}
  • id: 4969405
    {'lmfdb_iso': '95550.iw', 'p': 41, 'prec': 20, 'unit': 3718460141928859925808774780122, 'val': 1}
  • id: 4969406
    {'lmfdb_iso': '95550.iw', 'p': 43, 'prec': 20, 'unit': 6496551687520336801915530682486, 'val': 1}
  • id: 4969411
    {'lmfdb_iso': '95550.iw', 'p': 53, 'prec': 20, 'unit': 420148549536623808910099919924103, 'val': 1}
  • id: 4969414
    {'lmfdb_iso': '95550.iw', 'p': 59, 'prec': 20, 'unit': 950672589820407275450521408668823, 'val': 1}
  • id: 4969415
    {'lmfdb_iso': '95550.iw', 'p': 61, 'prec': 20, 'unit': 59334951309186295372186508186438, 'val': 1}
  • id: 4969402
    {'lmfdb_iso': '95550.iw', 'p': 67, 'prec': 20, 'unit': 17530103715050588274273089407935425, 'val': 1}
  • id: 4969404
    {'lmfdb_iso': '95550.iw', 'p': 71, 'prec': 20, 'unit': 26145998216127459281293476705342332, 'val': 1}
  • id: 4969412
    {'lmfdb_iso': '95550.iw', 'p': 73, 'prec': 20, 'unit': 224576511390141179201627349141301340, 'val': 1}
  • id: 4969407
    {'lmfdb_iso': '95550.iw', 'p': 79, 'prec': 20, 'unit': 1088623482118309551092063804804856456, 'val': 1}
  • id: 4969401
    {'lmfdb_iso': '95550.iw', 'p': 83, 'prec': 20, 'unit': 533547085198419798064251229541954101, 'val': 1}
  • id: 4969413
    {'lmfdb_iso': '95550.iw', 'p': 89, 'prec': 20, 'unit': 920866875629854983780226573459849470, 'val': 1}
  • id: 4969400
    {'lmfdb_iso': '95550.iw', 'p': 97, 'prec': 20, 'unit': 24196471352738592384322373237734265582, '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: 629340
    {'Ciso': '95550kg', 'Clabel': '95550kg5', 'Cnumber': 5, 'abc_quality': 1.0164587515547243, 'absD': 3340290408000000000000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 0, -1044035063, 12983980984617], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 95550, 'degree': 53747712, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8109359276994191712953244862', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 230, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [68463752473882049153689, 1817088000000000], 'lmfdb_iso': '95550.iw', 'lmfdb_label': '95550.iw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -852274, -302906428], 'min_quad_twist_disc': -35, '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', '104.6.0.?', '105.8.0.?', '210.48.0.?', '312.48.0.?', '315.24.0.?', '630.144.1.?', '819.36.0.?', '936.144.1.?', '1638.216.2.?', '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': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3617548219125703127295419692', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 15925], [5, 18, 3822], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0332618969547123314422684479', 'prec': 100}, 'szpiro_ratio': 6.445458243645308, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 629341
    {'Ciso': '95550kg', 'Clabel': '95550kg6', 'Cnumber': 6, 'abc_quality': 1.0187317206577513, 'absD': 20583548492431640625000000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 0, -1003267063, 14044560504617], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 95550, 'degree': 107495424, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1575095179793918260039405469', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 230, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-60752633741424905775769, 11197265625000000000], 'lmfdb_iso': '95550.iw', 'lmfdb_label': '95550.iw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -818994, -327640124], 'min_quad_twist_disc': -35, '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', '104.6.0.?', '105.8.0.?', '210.24.0.?', '312.48.0.?', '315.24.0.?', '420.48.0.?', '630.72.0.?', '819.36.0.?', '936.144.1.?', '1260.144.1.?', '1638.108.2.?', '3276.216.2.?', '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': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7235096438251406254590839383', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [3, 4, 15925], [5, 18, 3822], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3798354872346849861508845086', 'prec': 100}, 'szpiro_ratio': 6.459148371975235, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 629338
    {'Ciso': '95550kg', 'Clabel': '95550kg3', 'Cnumber': 3, 'abc_quality': 1.0044067734582287, 'absD': 657379642893962625000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 0, -22366688, -11662483008], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 95550, 'degree': 17915904, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2616297833653643255977018678', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 230, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [673163386034885929, 357608625192000], 'lmfdb_iso': '95550.iw', 'lmfdb_label': '95550.iw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -18259, 270446], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.72.0-6.a.1.2', '104.6.0.?', '105.24.0.?', '210.144.1.?', '312.144.1.?', '819.36.0.?', '1638.216.2.?', '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': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.78725160730419010424318065639', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 1225], [5, 18, 3822], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4839557526206574857446458295', 'prec': 100}, 'szpiro_ratio': 5.440014816825906, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 629336
    {'Ciso': '95550kg', 'Clabel': '95550kg1', 'Cnumber': 1, 'abc_quality': 0.9713151603119757, 'absD': 856079897144062500, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 0, -17570813, -28350308883], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 95550, 'degree': 5971968, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7123236390313094799000792493', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 230, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [326355561310674169, 465699780], 'lmfdb_iso': '95550.iw', 'lmfdb_label': '95550.iw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14344, 660002], 'min_quad_twist_disc': -35, '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', '104.6.0.?', '105.8.0.?', '210.48.0.?', '312.48.0.?', '315.24.0.?', '630.144.1.?', '819.36.0.?', '936.144.1.?', '1638.216.2.?', '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': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3617548219125703127295419692', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 31850], [5, 18, 3822], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93464960828660264004702321096', 'prec': 103}, 'szpiro_ratio': 5.376879293994564, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 629337
    {'Ciso': '95550kg', 'Clabel': '95550kg2', 'Cnumber': 2, 'abc_quality': 0.971994676763216, 'absD': 22682989290078091406250, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 0, -17411563, -28889370133], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 95550, 'degree': 11943936, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0588972293112821346086953100', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 230, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-317562142497484249, 12339342574650], 'lmfdb_iso': '95550.iw', 'lmfdb_label': '95550.iw5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14214, 672586], 'min_quad_twist_disc': -35, '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', '104.6.0.?', '105.8.0.?', '210.24.0.?', '312.48.0.?', '315.24.0.?', '420.48.0.?', '630.72.0.?', '819.36.0.?', '936.144.1.?', '1260.144.1.?', '1638.108.2.?', '3276.216.2.?', '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': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7235096438251406254590839383', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [3, 4, 31850], [5, 18, 3822], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2812231985665752947556392717', 'prec': 100}, 'szpiro_ratio': 5.380164427270151, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 629339
    {'Ciso': '95550kg', 'Clabel': '95550kg4', 'Cnumber': 4, 'abc_quality': 1.0200279220273976, 'absD': 43297627964560962890625000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 0, 85286312, -91218050008], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 95550, 'degree': 35831808, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6082033736453369803063179285', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 230, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [37321015309599759191, 23553520979625000], 'lmfdb_iso': '95550.iw', 'lmfdb_label': '95550.iw6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 69621, 2133502], 'min_quad_twist_disc': -35, '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', '104.6.0.?', '105.24.0.?', '210.72.0.?', '312.144.1.?', '420.144.1.?', '819.36.0.?', '1638.108.2.?', '3276.216.2.?', '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': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5745032146083802084863613128', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [3, 4, 1225], [5, 18, 3822], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8305293429006301404532618902', 'prec': 100}, 'szpiro_ratio': 5.790165858393917, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}