Elliptic curve isogeny class data - 8400.p

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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, 1, 0, 1, 0, -4, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 1, -4, 2, -2, 4, -8, 6, 8, 2, 2, -12, -8, -6, -4, -2, 12, -8, 14, 0, 12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 8400, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '8400.p', 'trace_hash': 1625614557540898145}
• ec_padic •

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

  
  
  • id: 347652
    {'lmfdb_iso': '8400.p', 'p': 11, 'prec': 20, 'unit': 40259954714997254481, 'val': 1}
  • id: 347658
    {'lmfdb_iso': '8400.p', 'p': 13, 'prec': 20, 'unit': 106355428334660275221, 'val': 1}
  • id: 347660
    {'lmfdb_iso': '8400.p', 'p': 17, 'prec': 20, 'unit': 136097653915914795369112, 'val': 1}
  • id: 347661
    {'lmfdb_iso': '8400.p', 'p': 19, 'prec': 20, 'unit': 1559788588417184710934082, 'val': 1}
  • id: 347664
    {'lmfdb_iso': '8400.p', 'p': 23, 'prec': 20, 'unit': 60917420546150781141896911, 'val': 1}
  • id: 347657
    {'lmfdb_iso': '8400.p', 'p': 29, 'prec': 20, 'unit': 5022339600625889130120330632, 'val': 1}
  • id: 347669
    {'lmfdb_iso': '8400.p', 'p': 31, 'prec': 20, 'unit': 17570206983084334892542509754, 'val': 1}
  • id: 347653
    {'lmfdb_iso': '8400.p', 'p': 37, 'prec': 20, 'unit': 330798064243449532407949947382, 'val': 1}
  • id: 347655
    {'lmfdb_iso': '8400.p', 'p': 41, 'prec': 20, 'unit': 3761167222839918962598801774690, 'val': 1}
  • id: 347656
    {'lmfdb_iso': '8400.p', 'p': 43, 'prec': 20, 'unit': 8421531313177958458773296549949, 'val': 1}
  • id: 347659
    {'lmfdb_iso': '8400.p', 'p': 47, 'prec': 20, 'unit': 17083973144811561866503686110621, 'val': 1}
  • id: 347662
    {'lmfdb_iso': '8400.p', 'p': 53, 'prec': 20, 'unit': 73032140605062954062070475965027, 'val': 1}
  • id: 347666
    {'lmfdb_iso': '8400.p', 'p': 59, 'prec': 20, 'unit': 1187737749254677148099138493378686, 'val': 1}
  • id: 347667
    {'lmfdb_iso': '8400.p', 'p': 61, 'prec': 20, 'unit': 7388218186530759562586029308885688, 'val': 1}
  • id: 347651
    {'lmfdb_iso': '8400.p', 'p': 67, 'prec': 20, 'unit': 25085680766448633955686787621871515, 'val': 1}
  • id: 347654
    {'lmfdb_iso': '8400.p', 'p': 71, 'prec': 20, 'unit': 48738739355062173068121258885764598, 'val': 1}
  • id: 347663
    {'lmfdb_iso': '8400.p', 'p': 73, 'prec': 20, 'unit': 78920407025362613334237968644050587, 'val': 1}
  • id: 347668
    {'lmfdb_iso': '8400.p', 'p': 83, 'prec': 20, 'unit': 1251627283851673210242089019082231752, 'val': 1}
  • id: 347665
    {'lmfdb_iso': '8400.p', 'p': 89, 'prec': 20, 'unit': 9179424500955220501751933502622339065, 'val': 1}
  • id: 347650
    {'lmfdb_iso': '8400.p', 'p': 97, 'prec': 20, 'unit': 35630346853086515108829640942195275551, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 54084
    {'Ciso': '8400bp', 'Clabel': '8400bp5', 'Cnumber': 5, 'abc_quality': 1.0369284989490737, 'absD': 201600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -6720008, 6707302512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 147456, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2346235662511274501790388361', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '8400.p', 'lmfdb_label': '8400.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '20.12.0-4.c.1.2', '24.24.0-8.n.1.4', '40.24.0-8.n.1.1', '48.48.0-16.e.1.2', '56.24.0.bh.1', '80.48.0.?', '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': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92648169083736596886718417269', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704803', 'prec': 103}, 'szpiro_ratio': 6.504591362196844, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 54083
    {'Ciso': '8400bp', 'Clabel': '8400bp4', 'Cnumber': 4, 'abc_quality': 1.0020619953336782, 'absD': 635040000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -420008, 104902512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 73728, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8880499759711547954704227754', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [128031684631201, 9922500], 'lmfdb_iso': '8400.p', 'lmfdb_label': '8400.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1050, -13533], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '20.24.0-4.b.1.3', '24.48.0-8.e.2.6', '40.48.0-8.e.2.2', '56.48.0.n.1', '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': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8529633816747319377343683454', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098733', 'prec': 103}, 'szpiro_ratio': 5.584082027942716, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 54085
    {'Ciso': '8400bp', 'Clabel': '8400bp6', 'Cnumber': 6, 'abc_quality': 1.0081875418390414, 'absD': 2296350000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -392008, 119462512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 147456, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2346235662511274501790388361', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-104094944089921, 35880468750], 'lmfdb_iso': '8400.p', 'lmfdb_label': '8400.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -980, -15325], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '20.12.0-4.c.1.2', '40.48.0-8.bb.1.7', '48.48.0-8.bb.1.6', '56.48.0.bn.1', '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': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7059267633494638754687366907', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704803', 'prec': 103}, 'szpiro_ratio': 5.612888016494902, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 54082
    {'Ciso': '8400bp', 'Clabel': '8400bp3', 'Cnumber': 3, 'abc_quality': 0.9866121641692004, 'absD': 22136835840000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -148008, -20665488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 73728, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8880499759711547954704227754', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5602762882081, 345888060], 'lmfdb_iso': '8400.p', 'lmfdb_label': '8400.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -370, 2435], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0-4.c.1.2', '20.12.0-4.c.1.1', '24.48.0-8.bb.2.4', '40.48.0-8.bb.2.3', '60.24.0-60.h.1.2', '112.48.0.?', '120.96.0.?', '336.96.0.?', '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': '1.8529633816747319377343683454', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098733', 'prec': 103}, 'szpiro_ratio': 5.237798005306555, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 54081
    {'Ciso': '8400bp', 'Clabel': '8400bp2', 'Cnumber': 2, 'abc_quality': 0.9591619974980434, 'absD': 553190400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -28008, 1414512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 36864, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5414763856911821407618067147', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [37966934881, 8643600], 'lmfdb_iso': '8400.p', 'lmfdb_label': '8400.p5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70, -205], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '12.24.0-4.b.1.2', '20.24.0-4.b.1.1', '24.48.0-8.e.1.16', '40.48.0-8.e.1.1', '56.48.0.r.1', '60.48.0-60.c.1.6', '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': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92648169083736596886718417269', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.043610248914186644044194926629', 'prec': 107}, 'szpiro_ratio': 4.685085889960381, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 54080
    {'Ciso': '8400bp', 'Clabel': '8400bp1', 'Cnumber': 1, 'abc_quality': 0.9283517895086211, 'absD': 12042240000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 3992, 134512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 18432, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1949027954112094860531906539', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [109902239, 188160], 'lmfdb_iso': '8400.p', 'lmfdb_label': '8400.p6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -13], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.1', '16.24.0.e.2', '20.12.0-4.c.1.1', '24.24.0-8.n.1.5', '30.6.0.a.1', '40.24.0-8.n.1.5', '48.48.0-16.e.2.12', '56.24.0.bv.1', '60.24.0-60.g.1.2', '80.48.0.?', '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': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8529633816747319377343683454', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30296334136578601066442113417', 'prec': 107}, 'szpiro_ratio': 4.112627627063432, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}