Elliptic curve isogeny class data - 20400.cc

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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': 20400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '20400.cc', 'trace_hash': 2003531729449544537}
• ec_padic •

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

  
  
  • id: 949434
    {'lmfdb_iso': '20400.cc', 'p': 7, 'prec': 20, 'unit': 20099048896025726, 'val': 0}
  • id: 949438
    {'lmfdb_iso': '20400.cc', 'p': 13, 'prec': 20, 'unit': 1219095746488514926734, 'val': 1}
  • id: 949440
    {'lmfdb_iso': '20400.cc', 'p': 19, 'prec': 20, 'unit': 1816472932580666938492320, 'val': 1}
  • id: 949443
    {'lmfdb_iso': '20400.cc', 'p': 23, 'prec': 20, 'unit': 52891372062174087101283723, 'val': 1}
  • id: 949437
    {'lmfdb_iso': '20400.cc', 'p': 29, 'prec': 20, 'unit': 5772756834124049770991390408, 'val': 1}
  • id: 949433
    {'lmfdb_iso': '20400.cc', 'p': 37, 'prec': 20, 'unit': 30320329795464353638412678374, 'val': 1}
  • id: 949435
    {'lmfdb_iso': '20400.cc', 'p': 41, 'prec': 20, 'unit': 449331845610996818337571024941, 'val': 1}
  • id: 949436
    {'lmfdb_iso': '20400.cc', 'p': 43, 'prec': 20, 'unit': 3717373680894817231093349551890, 'val': 1}
  • id: 949439
    {'lmfdb_iso': '20400.cc', 'p': 47, 'prec': 20, 'unit': 58765099306060754238628051961896, 'val': 1}
  • id: 949441
    {'lmfdb_iso': '20400.cc', 'p': 53, 'prec': 20, 'unit': 189882558556520062735354853685871, 'val': 1}
  • id: 949446
    {'lmfdb_iso': '20400.cc', 'p': 59, 'prec': 20, 'unit': 3361973625629849967868269627258826, 'val': 1}
  • id: 949447
    {'lmfdb_iso': '20400.cc', 'p': 61, 'prec': 20, 'unit': 249099427773763010326494674989144, 'val': 1}
  • id: 949432
    {'lmfdb_iso': '20400.cc', 'p': 67, 'prec': 20, 'unit': 10295108542812283220126173638207218, 'val': 1}
  • id: 949445
    {'lmfdb_iso': '20400.cc', 'p': 71, 'prec': 20, 'unit': 97661396683633214371103888310560884, 'val': 1}
  • id: 949442
    {'lmfdb_iso': '20400.cc', 'p': 73, 'prec': 20, 'unit': 105816150208100035434805392056597363, 'val': 1}
  • id: 949431
    {'lmfdb_iso': '20400.cc', 'p': 83, 'prec': 20, 'unit': 260270856324592143954180007946773445, 'val': 1}
  • id: 949444
    {'lmfdb_iso': '20400.cc', 'p': 89, 'prec': 20, 'unit': 3453891178637255425719529056642418208, 'val': 1}
  • id: 949430
    {'lmfdb_iso': '20400.cc', 'p': 97, 'prec': 20, 'unit': 40035875697032767194135747402576901360, '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: 135344
    {'Ciso': '20400bk', 'Clabel': '20400bk3', 'Cnumber': 3, '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': 20400, 'degree': 5160960, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5710819632692732716200022498', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 4], 'jinv': [1059623036730633329075378, 154307373046875], 'lmfdb_iso': '20400.cc', 'lmfdb_label': '20400.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -26972376, 53908152624], 'min_quad_twist_disc': -20, '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.1.13', '60.12.0-4.c.1.2', '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': '3.1377651602442709585437533819', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1309780915389398840204931385', 'prec': 100}, 'szpiro_ratio': 7.316242959348419, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 135345
    {'Ciso': '20400bk', 'Clabel': '20400bk4', 'Cnumber': 4, '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': 20400, 'degree': 5160960, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5710819632692732716200022498', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 4], 'jinv': [1664865424893526702418, 826424127435466125], 'lmfdb_iso': '20400.cc', 'lmfdb_label': '20400.cc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3135656, -807066000], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.13', '40.24.0-40.v.1.3', '120.48.0.?'], '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': '3.1377651602442709585437533819', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1309780915389398840204931385', 'prec': 100}, 'szpiro_ratio': 6.665659928230859, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 135343
    {'Ciso': '20400bk', 'Clabel': '20400bk2', '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': 20400, 'degree': 2580480, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2245083729893006169113861891', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2], 'jinv': [521902963282042184836, 6241849278890625], 'lmfdb_iso': '20400.cc', 'lmfdb_label': '20400.cc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1690656, 836766000], 'min_quad_twist_disc': -20, '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.1.1', '60.24.0-60.b.1.4', '120.48.0.?'], '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': '1.5688825801221354792718766909', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8421667663056293384299797546', 'prec': 100}, 'szpiro_ratio': 6.478910871846521, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 135342
    {'Ciso': '20400bk', 'Clabel': '20400bk1', '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': 20400, 'degree': 1290240, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8779347827093279622027701284', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3579968623693264, 1906997690433375], 'lmfdb_iso': '20400.cc', 'lmfdb_label': '20400.cc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20236, 33628064], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.y.1.5', '30.6.0.a.1', '40.24.0-40.bb.1.10', '60.24.0-60.g.1.1', '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': '0.78444129006106773963593834547', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6111177061189809019575690475', 'prec': 100}, 'szpiro_ratio': 5.828905144346971, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}