Elliptic curve isogeny class data - 10200.w

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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, 0, 0, 4, 0, 1, 0, 0, 0, -2, 0, 0, 0, 1, 0, 4, 0], 'aplist': [0, -1, 0, 4, 0, -2, 1, 4, -8, -6, 0, 6, 2, -4, -8, -10, 8, 6, -4, -8, -10, 0, -12, -14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 10200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '10200.w', 'trace_hash': 1713250643582599183}
• ec_padic •

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

  
  
  • id: 432884
    {'lmfdb_iso': '10200.w', 'p': 7, 'prec': 20, 'unit': 8452328068468062, 'val': 1}
  • id: 432888
    {'lmfdb_iso': '10200.w', 'p': 13, 'prec': 20, 'unit': 1112049389304664941490, 'val': 1}
  • id: 432890
    {'lmfdb_iso': '10200.w', 'p': 19, 'prec': 20, 'unit': 482405702604238789459436, 'val': 1}
  • id: 432893
    {'lmfdb_iso': '10200.w', 'p': 23, 'prec': 20, 'unit': 28576361594071635930050320, 'val': 1}
  • id: 432887
    {'lmfdb_iso': '10200.w', 'p': 29, 'prec': 20, 'unit': 613432813501021153962727864, 'val': 1}
  • id: 432883
    {'lmfdb_iso': '10200.w', 'p': 37, 'prec': 20, 'unit': 249781437553405684614948296659, 'val': 1}
  • id: 432885
    {'lmfdb_iso': '10200.w', 'p': 41, 'prec': 20, 'unit': 3007236276921622575139638548004, 'val': 1}
  • id: 432886
    {'lmfdb_iso': '10200.w', 'p': 43, 'prec': 20, 'unit': 5847194699436288210370377772093, 'val': 1}
  • id: 432889
    {'lmfdb_iso': '10200.w', 'p': 47, 'prec': 20, 'unit': 31813630013512482584798759794449, 'val': 1}
  • id: 432891
    {'lmfdb_iso': '10200.w', 'p': 53, 'prec': 20, 'unit': 12076215040322589516377238596013, 'val': 1}
  • id: 432896
    {'lmfdb_iso': '10200.w', 'p': 59, 'prec': 20, 'unit': 1215600219337510655922368276623562, 'val': 1}
  • id: 432897
    {'lmfdb_iso': '10200.w', 'p': 61, 'prec': 20, 'unit': 6473725965088486554488407532916420, 'val': 1}
  • id: 432882
    {'lmfdb_iso': '10200.w', 'p': 67, 'prec': 20, 'unit': 10369469106598224339283977079725386, 'val': 1}
  • id: 432895
    {'lmfdb_iso': '10200.w', 'p': 71, 'prec': 20, 'unit': 145624635901306643989720932559837446, 'val': 1}
  • id: 432892
    {'lmfdb_iso': '10200.w', 'p': 73, 'prec': 20, 'unit': 252156966219212819821906352538102377, 'val': 1}
  • id: 432881
    {'lmfdb_iso': '10200.w', 'p': 83, 'prec': 20, 'unit': 70464153642611198744239110979895938, 'val': 1}
  • id: 432894
    {'lmfdb_iso': '10200.w', 'p': 89, 'prec': 20, 'unit': 4762504526891317957166650929825272921, 'val': 1}
  • id: 432880
    {'lmfdb_iso': '10200.w', 'p': 97, 'prec': 20, 'unit': 44194362764818526718759677714524058047, '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: 66067
    {'Ciso': '10200bd', 'Clabel': '10200bd4', 'Cnumber': 4, 'abc_quality': 1.0554528133897931, 'absD': 4937835937500000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -674309408, 6739867696812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10200, 'degree': 2580480, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5710819632692732716200022498', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [1059623036730633329075378, 154307373046875], 'lmfdb_iso': '10200.w', 'lmfdb_label': '10200.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -26972376, 53908152624], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.s.1.6', '40.24.0-40.bb.1.5', '60.12.0-4.c.1.1', '120.48.0.?'], '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': '20.428626540191609056691666235', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 3400], [5, 18, 408], [7, 2, 3400], [17, 18, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1309780915389398840204931385', 'prec': 100}, 'szpiro_ratio': 7.86566382747188, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 66066
    {'Ciso': '10200bd', 'Clabel': '10200bd3', 'Cnumber': 3, 'abc_quality': 1.0609933840271915, 'absD': 26445572077934916000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -78391408, -100726467188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10200, 'degree': 2580480, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5710819632692732716200022498', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [1664865424893526702418, 826424127435466125], 'lmfdb_iso': '10200.w', 'lmfdb_label': '10200.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3135656, -807066000], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.y.1.5', '40.24.0-40.v.1.1', '120.48.0.?'], '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': '20.428626540191609056691666235', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 3400], [5, 18, 408], [7, 2, 3400], [17, 18, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1309780915389398840204931385', 'prec': 100}, 'szpiro_ratio': 7.1662245875420805, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 66065
    {'Ciso': '10200bd', 'Clabel': '10200bd2', 'Cnumber': 2, 'abc_quality': 1.0333686215042301, 'absD': 99869588462250000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -42266408, 104680282812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10200, 'degree': 1290240, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2245083729893006169113861891', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [521902963282042184836, 6241849278890625], 'lmfdb_iso': '10200.w', 'lmfdb_label': '10200.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1690656, 836766000], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.b.1.6', '40.24.0-40.a.1.4', '60.24.0-60.b.1.1', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.214313270095804528345833117', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 3400], [5, 18, 408], [7, 2, 3400], [17, 18, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8421667663056293384299797546', 'prec': 100}, 'szpiro_ratio': 6.965451416697627, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 66064
    {'Ciso': '10200bd', 'Clabel': '10200bd1', 'Cnumber': 1, 'abc_quality': 1.0722258722332745, 'absD': 7627990761733500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -505908, 4204519812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10200, 'degree': 645120, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8779347827093279622027701284', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3579968623693264, 1906997690433375], 'lmfdb_iso': '10200.w', 'lmfdb_label': '10200.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20236, 33628064], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.13', '30.6.0.a.1', '40.24.0-40.bb.1.2', '60.24.0-60.g.1.3', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1071566350479022641729165587', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 3400], [5, 18, 408], [7, 2, 3400], [17, 18, 600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6111177061189809019575690475', 'prec': 100}, 'szpiro_ratio': 6.266632833600969, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}