Elliptic curve data - 32490.n5

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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
  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[]

  
  {'Ciso': '32490ba', 'Clabel': '32490ba4', 'Cnumber': 4, 'abc_quality': 1.0339287621454463, 'absD': 182265382224558090, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -222624, -34768130], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 32490, 'degree': 442368, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0363854747995719102937560375', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '32490.n', 'lmfdb_label': '32490.n5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.4', '40.12.0.v.1', '57.8.0-3.a.1.2', '60.48.0.c.4', '114.24.0.?', '120.192.5.?', '152.12.0.?', '228.48.0.?', '456.192.1.?', '760.24.0.?', '1140.96.0.?', '2280.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '13.963903649655001439104492254', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 16245], [3, 2, 3610], [5, 6, 6498], [19, 182, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703094', 'prec': 107}, 'szpiro_ratio': 4.673672544702597, '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, 0, 1, 1, 0, -4, -1, 0, -1, 0, 0, -2, 4, 0, 1, -6, 0, 0, 1], 'aplist': [-1, 0, 1, -4, 0, -2, -6, 0, 0, -6, -8, -2, -6, -4, 0, -6, 0, -10, 4, 0, 2, -8, -12, 18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 32490, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '32490.n', 'trace_hash': 1459699819106136634}
• 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': '0.017030133425606663995576755116', 'prec': 107}, 'conductor': 32490, 'gens': [[-261, 2477, 1], [1905, 79370, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9538752049603845028051261296', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.7380010406015579243942231586', 'prec': 100}], 'lmfdb_label': '32490.n5', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.22198819642866048992383453821', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1996435725810071431090883377542709939', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1405, 1405, 2]], 'xcoord_integral_points': [-261, 1289, 1905]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '5': [3, 0], '7': [2, 0], '11': [2, 2, 0], '13': [4, 0], '17': [2, 0], '19': 'a', '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '32490.n5'}
• ec_torsion_growth •

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

  
  
  • id: 1618048
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '32490.n5', 'torsion': [6]}
  • id: 1618045
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 2]}
  • id: 1618047
    {'degree': 2, 'field': [114, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [4]}
  • id: 1618046
    {'degree': 2, 'field': [285, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [4]}
  • id: 1618050
    {'degree': 4, 'field': [6, 48, -47, -2, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 6]}
  • id: 1618052
    {'degree': 4, 'field': [258, 24, -23, -2, 1], 'lmfdb_label': '32490.n5', 'torsion': [12]}
  • id: 1618051
    {'degree': 4, 'field': [366, 18, -17, -2, 1], 'lmfdb_label': '32490.n5', 'torsion': [12]}
  • id: 1618049
    {'degree': 4, 'field': [961, 0, 52, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 4]}
  • id: 1618053
    {'degree': 6, 'field': [353, -169, 76, 3, 8, -1, 1], 'lmfdb_label': '32490.n5', 'torsion': [6]}
  • id: 1618056
    {'degree': 8, 'field': [5155, -740, 886, -296, 159, -16, 10, -4, 1], 'lmfdb_label': '32490.n5', 'torsion': [8]}
  • id: 1618057
    {'degree': 8, 'field': [21894, 8268, -6950, -2572, 1127, 188, -58, -4, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 12]}
  • id: 1618055
    {'degree': 8, 'field': [137121, 25464, -25697, -2570, 2096, 100, -73, -2, 1], 'lmfdb_label': '32490.n5', 'torsion': [8]}
  • id: 1618054
    {'degree': 8, 'field': [358896, 186240, -95504, -4160, 5116, -80, -124, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 4]}
  • id: 1618058
    {'degree': 12, 'field': [6724, 0, 19244, 0, 8496, 0, 2299, 0, 339, 0, 29, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [3, 6]}
  • id: 1618059
    {'degree': 12, 'field': [16265, -12690, 23475, -24050, 18600, -8970, 4881, -1806, 690, -170, 45, -6, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 6]}
  • id: 1618060
    {'degree': 12, 'field': [65329, 21266, 867, 12180, 990, 826, 1529, -442, 390, -60, 27, -2, 1], 'lmfdb_label': '32490.n5', 'torsion': [12]}
  • id: 1618061
    {'degree': 12, 'field': [92683, 11766, -10855, -2994, 4800, -5034, 3541, -1758, 648, -150, 41, -6, 1], 'lmfdb_label': '32490.n5', 'torsion': [12]}
  • id: 1618067
    {'degree': 16, 'field': [313675, 160400, -265260, 260200, -210048, -46488, 292912, -321944, 195045, -91384, 34108, -9696, 2526, -448, 84, -8, 1], 'lmfdb_label': '32490.n5', 'torsion': [24]}
  • id: 1618066
    {'degree': 16, 'field': [1821366, 2468340, 325602, -751320, -113775, 124320, -26198, -15360, 20464, -200, -4172, 40, 550, -20, -32, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [24]}
  • id: 1618063
    {'degree': 16, 'field': [40925209, -14938456, 18379840, -7296664, 4728200, -1424968, 698808, -210016, 77369, -19928, 7356, -1880, 374, -56, 28, -8, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 8]}
  • id: 1618062
    {'degree': 16, 'field': [503149761, -522193680, 270979200, 254588400, 85137346, 16462360, 1472000, 364320, 200391, 92360, 800, -3520, 1286, -40, 0, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [4, 4]}
  • id: 1618065
    {'degree': 16, 'field': [503149761, 0, -806541756, 0, 224105542, 0, -32928448, 0, 3119415, 0, -183272, 0, 6402, 0, -124, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 12]}
  • id: 1618064
    {'degree': 16, 'field': [24976641600, 0, -9270014400, 0, 1525749280, 0, -145583880, 0, 8919081, 0, -359864, 0, 9366, 0, -144, 0, 1], 'lmfdb_label': '32490.n5', 'torsion': [2, 8]}
  • id: 1618068
    {'degree': 18, 'field': [-254192, 41791152, 13580928, -23241044, 16839264, -11520984, 3220151, -679086, 101742, -35537, 28725, -9126, -1807, 1878, -681, 121, 0, -6, 1], 'lmfdb_label': '32490.n5', '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: 760156
    {'conductor': 32490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32490.n5', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 760157
    {'conductor': 32490, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '32490.n5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 760158
    {'conductor': 32490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32490.n5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 760159
    {'conductor': 32490, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '32490.n5', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1881259
    {'adelic_gens': [[2257, 24, 2256, 25], [1312, 1083, 1197, 514], [1, 12, 12, 145], [15, 106, 974, 2171], [1122, 1159, 437, 932], [1, 24, 0, 1], [1139, 456, 988, 1291], [1711, 1824, 1710, 1], [1, 0, 24, 1], [359, 0, 0, 2279]], 'adelic_image': '2280.384.5.?', 'conductor': 32490, 'lmfdb_label': '32490.n5', 'prime': 0}
  • id: 145353
    {'conductor': 32490, 'elladic_image': '4.6.0.1', 'lmfdb_label': '32490.n5', 'modell_image': '2B', 'prime': 2}
  • id: 145354
    {'conductor': 32490, 'elladic_image': '3.4.0.1', 'lmfdb_label': '32490.n5', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1584138
    {'lmfdb_iso': '32490.n', 'p': 7, 'prec': 20, 'unit': 5544291487182929, 'val': 2}
  • id: 1584142
    {'lmfdb_iso': '32490.n', 'p': 13, 'prec': 20, 'unit': 51126725789902493109, 'val': 3}
  • id: 1584144
    {'lmfdb_iso': '32490.n', 'p': 17, 'prec': 20, 'unit': 152847198641256639904269, 'val': 2}
  • id: 1584141
    {'lmfdb_iso': '32490.n', 'p': 29, 'prec': 20, 'unit': 1058460360991362852549380115, 'val': 2}
  • id: 1584150
    {'lmfdb_iso': '32490.n', 'p': 31, 'prec': 20, 'unit': 14226269817913611718716937899, 'val': 2}
  • id: 1584137
    {'lmfdb_iso': '32490.n', 'p': 37, 'prec': 20, 'unit': 244326019345428605953023688358, 'val': 2}
  • id: 1584139
    {'lmfdb_iso': '32490.n', 'p': 41, 'prec': 20, 'unit': 2508069098850147967031690688716, 'val': 2}
  • id: 1584140
    {'lmfdb_iso': '32490.n', 'p': 43, 'prec': 20, 'unit': 9461766659196773007025155435761, 'val': 2}
  • id: 1584146
    {'lmfdb_iso': '32490.n', 'p': 53, 'prec': 20, 'unit': 161122353601918719808013242635667, 'val': 2}
  • id: 1584149
    {'lmfdb_iso': '32490.n', 'p': 61, 'prec': 20, 'unit': 6560520810598688348024991270981338, 'val': 2}
  • id: 1584136
    {'lmfdb_iso': '32490.n', 'p': 67, 'prec': 20, 'unit': 34133955609491403708765815072983293, 'val': 2}
  • id: 1584147
    {'lmfdb_iso': '32490.n', 'p': 73, 'prec': 20, 'unit': 220260303849201658161254500116828639, 'val': 2}
  • id: 1584143
    {'lmfdb_iso': '32490.n', 'p': 79, 'prec': 20, 'unit': 523181547345951672400129509107960915, 'val': 2}
  • id: 1584145
    {'lmfdb_iso': '32490.n', 'p': 83, 'prec': 20, 'unit': 1243507273348220286459707807916198518, 'val': 2}
  • id: 1584148
    {'lmfdb_iso': '32490.n', 'p': 89, 'prec': 20, 'unit': 5327649252917739091311877627375641863, 'val': 2}
  • id: 1584135
    {'lmfdb_iso': '32490.n', 'p': 97, 'prec': 20, 'unit': 9845492097506501033847503978974555689, 'val': 2}