Elliptic curve data - 58989.n6

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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': '58989a', 'Clabel': '58989a1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 1396354751127, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 17808, 'ainvs': [1, 1, 0, 2751, -11088], 'analytic_rank': 1, 'bad_primes': [3, 7, 53], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 58989, 'degree': 74880, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0196305693270827237046522420', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '58989.n', 'lmfdb_label': '58989.n6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': 53, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '14.6.0.b.1', '16.24.0.e.1', '24.24.0.bz.1', '28.12.0.g.1', '48.48.0.bd.1', '56.24.0.bf.1', '112.48.0.?', '168.48.0.?', '212.12.0.?', '336.96.1.?', '424.24.0.?', '848.48.0.?', '1272.48.0.?', '1484.24.0.?', '2544.96.0.?', '2968.48.0.?', '5936.96.0.?', '8904.96.0.?', '17808.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.1995385990860061483016342411', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232751', 'prec': 107}, 'szpiro_ratio': 3.22001384726685, '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, -1, -1, 2, -1, -1, -3, 1, 2, 4, 1, -2, -1, -2, -1, -6, 1, -4, -2], 'aplist': [1, -1, 2, -1, 4, -2, -6, -4, 0, -2, 0, 6, -2, -4, 0, 0, 12, 2, -4, 0, 6, 16, 12, -14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 58989, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '58989.n', 'trace_hash': 2010264736792700803}
• 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': '0.13012481956786822349225015352', 'prec': 103}, 'conductor': 58989, 'gens': [[9549, 3296103, 28]], 'heights': [{'__RealLiteral__': 0, 'data': '6.1995385990860061483016342411', 'prec': 100}], 'lmfdb_label': '58989.n6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49572373192083788895220962557', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1465168210523963875702447989401693958', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[4, -2, 1]], 'xcoord_integral_points': [4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0], '53': 'a'}, 'iwp0': 0, 'lmfdb_label': '58989.n6'}
• ec_torsion_growth •

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

  
  
  • id: 2836825
    {'degree': 2, 'field': [-13, -1, 1], 'lmfdb_label': '58989.n6', 'torsion': [4]}
  • id: 2836824
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '58989.n6', 'torsion': [2, 2]}
  • id: 2836826
    {'degree': 2, 'field': [93, -1, 1], 'lmfdb_label': '58989.n6', 'torsion': [4]}
  • id: 2836828
    {'degree': 4, 'field': [64, 0, -37, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [8]}
  • id: 2836829
    {'degree': 4, 'field': [169, 13, 14, -1, 1], 'lmfdb_label': '58989.n6', 'torsion': [8]}
  • id: 2836827
    {'degree': 4, 'field': [225, 0, -23, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [2, 4]}
  • id: 2836834
    {'degree': 8, 'field': [-135379, 42551, -1513, 2450, -667, -193, 1, -2, 1], 'lmfdb_label': '58989.n6', 'torsion': [6]}
  • id: 2836833
    {'degree': 8, 'field': [24649, 0, -8633, 0, 1098, 0, -56, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [16]}
  • id: 2836831
    {'degree': 8, 'field': [32673, -10118, 11208, -2234, 1253, -166, 60, -4, 1], 'lmfdb_label': '58989.n6', 'torsion': [8]}
  • id: 2836832
    {'degree': 8, 'field': [50625, 0, 5175, 0, 304, 0, 23, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [2, 8]}
  • id: 2836830
    {'degree': 8, 'field': [600454, 104890, -43231, -6498, 2366, 198, -76, -2, 1], 'lmfdb_label': '58989.n6', 'torsion': [2, 4]}
  • id: 2836840
    {'degree': 16, 'field': [955860889, 0, -564490453, 0, 151117552, 0, -22978545, 0, 2163969, 0, -130263, 0, 4915, 0, -106, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [12]}
  • id: 2836838
    {'degree': 16, 'field': [969947707, 143897649, -557962132, -75263863, 144713978, 16935438, -21743767, -2126106, 2055994, 160569, -124946, -7286, 4761, 184, -104, -2, 1], 'lmfdb_label': '58989.n6', 'torsion': [2, 16]}
  • id: 2836836
    {'degree': 16, 'field': [1067524929, 0, -630024044, 0, 162290578, 0, -23658076, 0, 2157683, 0, -127348, 0, 4778, 0, -104, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [2, 8]}
  • id: 2836835
    {'degree': 16, 'field': [1068188697, 50760198, 547568694, -5900790, 133681732, -11788552, 22071528, -3051034, 2379141, -321968, 153384, -16370, 5676, -406, 114, -4, 1], 'lmfdb_label': '58989.n6', 'torsion': [4, 4]}
  • id: 2836837
    {'degree': 16, 'field': [2491647349, 973821702, -1100366511, -307037850, 215319295, 38056368, -25346028, -2260146, 2001303, 52122, -108546, 714, 3952, -42, -90, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [16]}
  • id: 2836841
    {'degree': 16, 'field': [18197819693, 17851504237, 6189405048, 1278606496, 526772114, 199691667, 25614199, 2459033, 1368960, -129057, -34476, 1344, -2067, 24, 15, -4, 1], 'lmfdb_label': '58989.n6', 'torsion': [12]}
  • id: 2836839
    {'degree': 16, 'field': [19526429169, 0, -3886750827, 0, -2659725, 0, 27848266, 0, 1472501, 0, -23081, 0, -2021, 0, 14, 0, 1], 'lmfdb_label': '58989.n6', 'torsion': [2, 6]}
• 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: 1420390
    {'conductor': 58989, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58989.n6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1420391
    {'conductor': 58989, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58989.n6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1420392
    {'conductor': 58989, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '58989.n6', 'prime': 53, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2055544
    {'adelic_gens': [[1, 1696, 14204, 213], [160, 12773, 4611, 15106], [1, 16, 0, 1], [16799, 0, 0, 17807], [15, 2, 17710, 17795], [17597, 1696, 14416, 15477], [1, 0, 16, 1], [5, 4, 17804, 17805], [17793, 16, 17792, 17], [14417, 1696, 14522, 6255]], 'adelic_image': '17808.192.1.?', 'conductor': 58989, 'lmfdb_label': '58989.n6', 'prime': 0}
  • id: 249743
    {'conductor': 58989, 'elladic_image': '16.24.0.1', 'lmfdb_label': '58989.n6', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2994994
    {'lmfdb_iso': '58989.n', 'p': 5, 'prec': 20, 'unit': 10237031630084, 'val': 1}
  • id: 2995000
    {'lmfdb_iso': '58989.n', 'p': 11, 'prec': 20, 'unit': 39280285684255491555, 'val': 1}
  • id: 2994998
    {'lmfdb_iso': '58989.n', 'p': 13, 'prec': 20, 'unit': 772884382698856284741, 'val': 1}
  • id: 2995001
    {'lmfdb_iso': '58989.n', 'p': 17, 'prec': 20, 'unit': 131676174392074710799223, 'val': 1}
  • id: 2995002
    {'lmfdb_iso': '58989.n', 'p': 19, 'prec': 20, 'unit': 376759738460061339372304, 'val': 1}
  • id: 2994997
    {'lmfdb_iso': '58989.n', 'p': 29, 'prec': 20, 'unit': 2399205749485265511217064823, 'val': 1}
  • id: 2995007
    {'lmfdb_iso': '58989.n', 'p': 37, 'prec': 20, 'unit': 540338069027896361717654002027, 'val': 1}
  • id: 2994995
    {'lmfdb_iso': '58989.n', 'p': 41, 'prec': 20, 'unit': 2058227166392934503507954224631, 'val': 1}
  • id: 2994996
    {'lmfdb_iso': '58989.n', 'p': 43, 'prec': 20, 'unit': 2728385018597960950612232831782, 'val': 1}
  • id: 2995005
    {'lmfdb_iso': '58989.n', 'p': 59, 'prec': 20, 'unit': 3686999960462475201261661683489069, 'val': 1}
  • id: 2995006
    {'lmfdb_iso': '58989.n', 'p': 61, 'prec': 20, 'unit': 7585946088490191655918068210158896, 'val': 1}
  • id: 2994993
    {'lmfdb_iso': '58989.n', 'p': 67, 'prec': 20, 'unit': 28867720143296945177062888570744667, 'val': 1}
  • id: 2995003
    {'lmfdb_iso': '58989.n', 'p': 73, 'prec': 20, 'unit': 140768093553745057664465065843003050, 'val': 1}
  • id: 2994999
    {'lmfdb_iso': '58989.n', 'p': 79, 'prec': 20, 'unit': 677496633871785139774819221956128828, 'val': 1}
  • id: 2994992
    {'lmfdb_iso': '58989.n', 'p': 83, 'prec': 20, 'unit': 2017331480393252468311972942155978904, 'val': 1}
  • id: 2995004
    {'lmfdb_iso': '58989.n', 'p': 89, 'prec': 20, 'unit': 4026363635434516001579549650197598795, 'val': 1}
  • id: 2994991
    {'lmfdb_iso': '58989.n', 'p': 97, 'prec': 20, 'unit': 41560343031186984896946275956126818149, 'val': 1}