Elliptic curve data - 58989.n2

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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': '58989a4', 'Cnumber': 4, 'abc_quality': 1.0814902740568197, 'absD': 478949679636561, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 8904, 'ainvs': [1, 1, 0, -137699, -19696560], 'analytic_rank': 1, 'bad_primes': [3, 7, 53], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 58989, 'degree': 299520, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7127777498870280331218843635', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [13027640977, 21609], 'lmfdb_iso': '58989.n', 'lmfdb_label': '58989.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49, -136], 'min_quad_twist_disc': 53, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '12.24.0.c.1', '24.48.0.j.2', '56.48.0.u.1', '168.96.1.?', '212.24.0.?', '424.48.0.?', '636.48.0.?', '1272.96.0.?', '2968.96.0.?', '8904.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.798154396344024593206536964', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020601', 'prec': 107}, 'szpiro_ratio': 4.288724160852158, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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': '0.032531204891967055873062538381', 'prec': 107}, 'conductor': 58989, 'gens': [[-935544679481, 10531233706262307, 66970]], 'heights': [{'__RealLiteral__': 0, 'data': '24.798154396344024593206536964', 'prec': 100}], 'lmfdb_label': '58989.n2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24786186596041894447610481279', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1465168210523963875702447989401693958', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-208, 104, 1], [428, -214, 1]], 'xcoord_integral_points': [-208, 428]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '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.n2'}
• ec_torsion_growth •

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

  
  
  • id: 2836868
    {'degree': 2, 'field': [53, 0, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 4]}
  • id: 2836870
    {'degree': 4, 'field': [97, 32, -31, -2, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 4]}
  • id: 2836869
    {'degree': 4, 'field': [169, 13, 14, -1, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 4]}
  • id: 2836875
    {'degree': 8, 'field': [-135379, 42551, -1513, 2450, -667, -193, 1, -2, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 6]}
  • id: 2836874
    {'degree': 8, 'field': [17332, 7468, -6364, -2150, 931, 170, -52, -4, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 8]}
  • id: 2836871
    {'degree': 8, 'field': [28561, 0, -4563, 0, 560, 0, -27, 0, 1], 'lmfdb_label': '58989.n2', 'torsion': [4, 4]}
  • id: 2836872
    {'degree': 8, 'field': [75625, 0, 13418, 0, 911, 0, 38, 0, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 8]}
  • id: 2836873
    {'degree': 8, 'field': [4154200, -532400, 551356, -38156, 19689, -736, 250, -4, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 8]}
  • id: 2836876
    {'degree': 16, 'field': [-143296268, 395800064, 70861104, -225502520, 1924368, 56555760, -4476248, -8131364, 796869, 688676, -75176, -32340, 3786, 788, -96, -8, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 8]}
  • id: 2836878
    {'degree': 16, 'field': [955860889, 0, 564490453, 0, 151117552, 0, 22978545, 0, 2163969, 0, 130263, 0, 4915, 0, 106, 0, 1], 'lmfdb_label': '58989.n2', 'torsion': [2, 12]}
  • id: 2836877
    {'degree': 16, 'field': [1087812324, 0, -629832528, 0, 160350564, 0, -23382996, 0, 2144533, 0, -127244, 0, 4782, 0, -104, 0, 1], 'lmfdb_label': '58989.n2', 'torsion': [4, 8]}
• 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: 1420399
    {'conductor': 58989, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58989.n2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1420400
    {'conductor': 58989, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '58989.n2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1420401
    {'conductor': 58989, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '58989.n2', '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: 2055540
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [2863, 5088, 6042, 3817], [5831, 6890, 318, 6043], [425, 212, 6784, 5301], [5, 4, 8900, 8901], [7633, 848, 8692, 3393], [7895, 0, 0, 8903], [8897, 8, 8896, 9]], 'adelic_image': '8904.192.1.?', 'conductor': 58989, 'lmfdb_label': '58989.n2', 'prime': 0}
  • id: 249739
    {'conductor': 58989, 'elladic_image': '8.24.0.18', 'lmfdb_label': '58989.n2', 'modell_image': '2Cs', '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}