Elliptic curve data - 5390.bh3

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• 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[]

  
  {'Ciso': '5390x', 'Clabel': '5390x3', 'Cnumber': 3, 'abc_quality': 0.9529277285085762, 'absD': 368455065290620, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 1, 1, -4411, 928549], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 5390, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4751991961902940364554561732', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-80677568161, 3131816380], 'lmfdb_iso': '5390.bh', 'lmfdb_label': '5390.bh3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -90, -2720], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.2', '24.24.0-6.a.1.15', '42.24.0-6.a.1.4', '56.6.0.d.1', '110.6.0.?', '168.48.0.?', '330.24.0.?', '1320.48.0.?', '2310.48.0.?', '3080.12.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9109865038879972491677896894', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50224412166263738390277980148', 'prec': 103}, 'szpiro_ratio': 4.772861097207067, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 2, 1, -1, 2, 0, 1, 1, -1, -1, 2, -2, 0, -2, 1, -6, 1, -2, -1], 'aplist': [1, 2, -1, 0, -1, -2, -6, -2, -6, 0, -8, 8, 0, -4, 0, 12, -12, 10, -4, -12, -14, -10, 0, 18, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 5390, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '5390.bh', 'trace_hash': 1649419485440823668}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.052318858361415965865021124523', 'prec': 107}, 'conductor': 5390, 'gens': [[18583, 2526664, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '7.9109865038879972491677896894', 'prec': 100}], 'lmfdb_label': '5390.bh3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44648743001065547335558166319', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0643120659398644110730814909204935500', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-113, 56, 1]], 'xcoord_integral_points': [-113]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '5390.bh3'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 280580
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '5390.bh3', 'torsion': [6]}
  • id: 280579
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '5390.bh3', 'torsion': [2, 2]}
  • id: 280581
    {'degree': 4, 'field': [16, -8, -5, -2, 1], 'lmfdb_label': '5390.bh3', 'torsion': [4]}
  • id: 280582
    {'degree': 4, 'field': [361, 0, 17, 0, 1], 'lmfdb_label': '5390.bh3', 'torsion': [2, 6]}
  • id: 280583
    {'degree': 6, 'field': [508, -192, -42, 27, 9, -3, 1], 'lmfdb_label': '5390.bh3', 'torsion': [6]}
  • id: 280586
    {'degree': 8, 'field': [-20, 80, -78, 0, -9, 8, 2, -4, 1], 'lmfdb_label': '5390.bh3', 'torsion': [12]}
  • id: 280584
    {'degree': 8, 'field': [466, 4346, 13679, 2282, 1029, 174, 41, -2, 1], 'lmfdb_label': '5390.bh3', 'torsion': [2, 4]}
  • id: 280585
    {'degree': 8, 'field': [7436, 1144, 4128, -36, 293, -64, -2, -4, 1], 'lmfdb_label': '5390.bh3', 'torsion': [2, 4]}
  • id: 280587
    {'degree': 12, 'field': [1225, 0, -4725, 0, 12510, 0, 5483, 0, 822, 0, 51, 0, 1], 'lmfdb_label': '5390.bh3', 'torsion': [3, 6]}
  • id: 280588
    {'degree': 12, 'field': [2139984, -959112, -148788, 230610, -6840, -24582, 6571, 894, -435, 60, 27, -6, 1], 'lmfdb_label': '5390.bh3', 'torsion': [2, 6]}
  • id: 280591
    {'degree': 16, 'field': [2835856, 0, 843472, 0, 306972, 0, -10028, 0, 25713, 0, -2864, 0, 578, 0, -36, 0, 1], 'lmfdb_label': '5390.bh3', 'torsion': [2, 12]}
  • id: 280589
    {'degree': 16, 'field': [4847741200, 3024687360, 239874592, -194209824, -32600694, 48925656, 25130924, 4520920, -1153597, -503248, -32908, 17704, 3662, 0, -68, -8, 1], 'lmfdb_label': '5390.bh3', 'torsion': [8]}
  • id: 280590
    {'degree': 16, 'field': [9116316181, 1613928288, -3129687540, 797772220, 116740534, -211016012, 69602528, -17053640, 4969031, -1122332, 246568, -31256, 4554, -604, 44, -4, 1], 'lmfdb_label': '5390.bh3', 'torsion': [2, 12]}
  • id: 280592
    {'degree': 18, 'field': [-19130540652, -14256257580, 52073671644, -31986101058, 7373595240, -1264149822, 270188515, 14775177, -18760407, 7578218, 923319, -771453, 81668, -21813, 2019, 1120, -123, -9, 1], 'lmfdb_label': '5390.bh3', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 104993
    {'conductor': 5390, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5390.bh3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 104994
    {'conductor': 5390, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5390.bh3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 104995
    {'conductor': 5390, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '5390.bh3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 104996
    {'conductor': 5390, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5390.bh3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1699040
    {'adelic_gens': [[4239, 2698, 6566, 5021], [4621, 12, 6, 73], [11, 2, 9190, 9231], [6730, 3, 5853, 9232], [1, 0, 12, 1], [9229, 12, 9228, 13], [6161, 12, 1540, 1], [1, 6, 6, 37], [1, 12, 0, 1], [10, 3, 1821, 9232], [3959, 9228, 5274, 9167]], 'adelic_image': '9240.96.1.?', 'conductor': 5390, 'lmfdb_label': '5390.bh3', 'prime': 0}
  • id: 26625
    {'conductor': 5390, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5390.bh3', 'modell_image': '2B', 'prime': 2}
  • id: 26626
    {'conductor': 5390, 'elladic_image': '3.4.0.1', 'lmfdb_label': '5390.bh3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 201222
    {'lmfdb_iso': '5390.bh', 'p': 13, 'prec': 20, 'unit': 462293260404163614851, 'val': 1}
  • id: 201224
    {'lmfdb_iso': '5390.bh', 'p': 17, 'prec': 20, 'unit': 135497544519930167733500, 'val': 1}
  • id: 201225
    {'lmfdb_iso': '5390.bh', 'p': 19, 'prec': 20, 'unit': 1349080615501872428114532, 'val': 1}
  • id: 201227
    {'lmfdb_iso': '5390.bh', 'p': 23, 'prec': 20, 'unit': 26621049520037702635854498, 'val': 1}
  • id: 201231
    {'lmfdb_iso': '5390.bh', 'p': 31, 'prec': 20, 'unit': 209371070964896841842519803, 'val': 1}
  • id: 201218
    {'lmfdb_iso': '5390.bh', 'p': 37, 'prec': 20, 'unit': 485407000414802659522929501047, 'val': 1}
  • id: 201221
    {'lmfdb_iso': '5390.bh', 'p': 43, 'prec': 20, 'unit': 6941227280922661827173739706775, 'val': 1}
  • id: 201226
    {'lmfdb_iso': '5390.bh', 'p': 53, 'prec': 20, 'unit': 56830081621062946848617803976872, 'val': 1}
  • id: 201229
    {'lmfdb_iso': '5390.bh', 'p': 59, 'prec': 20, 'unit': 3851754125815117382329037686667118, 'val': 1}
  • id: 201230
    {'lmfdb_iso': '5390.bh', 'p': 61, 'prec': 20, 'unit': 3095670637653754976626141747547728, 'val': 1}
  • id: 201217
    {'lmfdb_iso': '5390.bh', 'p': 67, 'prec': 20, 'unit': 36710125576814159087443581417720750, 'val': 1}
  • id: 201219
    {'lmfdb_iso': '5390.bh', 'p': 71, 'prec': 20, 'unit': 103671619814247781041563513256823815, 'val': 1}
  • id: 201220
    {'lmfdb_iso': '5390.bh', 'p': 73, 'prec': 20, 'unit': 34389873267586089267949246525220599, 'val': 1}
  • id: 201223
    {'lmfdb_iso': '5390.bh', 'p': 79, 'prec': 20, 'unit': 711730502251204548920705744892094966, 'val': 1}
  • id: 201228
    {'lmfdb_iso': '5390.bh', 'p': 89, 'prec': 20, 'unit': 6637485944433168960987483255507741241, 'val': 1}
  • id: 201216
    {'lmfdb_iso': '5390.bh', 'p': 97, 'prec': 20, 'unit': 15366369499381923039413474166928153301, 'val': 1}