Elliptic curve data - 90459.f3

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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': '90459r', 'Clabel': '90459r1', 'Cnumber': 1, 'abc_quality': 0.9626725733934746, 'absD': 6151335295617, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10488, 'ainvs': [1, -1, 1, -7241, -203128], 'analytic_rank': 0, 'bad_primes': [3, 19, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 90459, 'degree': 147840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1788974095358582880143345430', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [389017, 57], 'lmfdb_iso': '90459.f', 'lmfdb_label': '90459.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2, -1], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '92.12.0.?', '114.6.0.?', '152.12.0.?', '228.12.0.?', '456.24.0.?', '552.24.0.?', '3496.24.0.?', '5244.24.0.?', '10488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 10051], [19, 20, 4761], [23, 266, 171]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93815584276277140308666449137', 'prec': 107}, 'szpiro_ratio': 3.35382322969841, '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, -2, 0, 0, 3, 0, 2, 0, 0, 6, 0, 0, -1, -6, 0, 1, 2], 'aplist': [-1, 0, -2, 0, 0, 6, -6, 1, 0, -2, 8, 10, 2, 4, -12, -6, 12, 2, 4, 0, 10, 0, 16, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 90459, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '90459.f', 'trace_hash': 1909469692554775285}
• 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': '0.094628666614996242119003726725', 'prec': 107}, 'conductor': 90459, 'gens': [], 'heights': [], 'lmfdb_label': '90459.f3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.52262015961147037504194937165', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0452403192229407500838987433036778775', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-63, 31, 1]], 'xcoord_integral_points': [-63]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '19': [1, 0], '23': 'a'}, 'iwp0': 3, 'lmfdb_label': '90459.f3'}
• ec_torsion_growth •

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

  
  
  • id: 4227808
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '90459.f3', 'torsion': [2, 2]}
  • id: 4227809
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '90459.f3', 'torsion': [4]}
  • id: 4227810
    {'degree': 2, 'field': [328, -1, 1], 'lmfdb_label': '90459.f3', 'torsion': [4]}
  • id: 4227811
    {'degree': 4, 'field': [400, 0, -17, 0, 1], 'lmfdb_label': '90459.f3', 'torsion': [2, 4]}
  • id: 4227812
    {'degree': 8, 'field': [-95288, -154600, -64372, -424, 4102, 358, -133, -2, 1], 'lmfdb_label': '90459.f3', 'torsion': [2, 4]}
  • id: 4227815
    {'degree': 8, 'field': [-42767, -21442, -7124, 1195, 635, -47, 4, -4, 1], 'lmfdb_label': '90459.f3', 'torsion': [6]}
  • id: 4227813
    {'degree': 8, 'field': [784, 0, -748, 0, 189, 0, -7, 0, 1], 'lmfdb_label': '90459.f3', 'torsion': [8]}
  • id: 4227814
    {'degree': 8, 'field': [216225, 0, 28494, 0, 1555, 0, 50, 0, 1], 'lmfdb_label': '90459.f3', 'torsion': [8]}
  • id: 4227819
    {'degree': 16, 'field': [-1813966859, -4325257894, -3579571704, -1723447375, -390752888, -64517484, -20680303, 852283, 776469, 214897, 51983, -3135, 409, -433, 6, -4, 1], 'lmfdb_label': '90459.f3', 'torsion': [2, 6]}
  • id: 4227820
    {'degree': 16, 'field': [3543879, 1134108, 3380097, 957162, 1372683, 322185, 353770, 48894, 67402, 2579, 9022, -88, 775, -10, 40, 0, 1], 'lmfdb_label': '90459.f3', 'torsion': [12]}
  • id: 4227817
    {'degree': 16, 'field': [4508956, -2354116, 3821955, -654140, 1058004, 47436, 222637, -1286, 57465, -8344, 9745, -1314, 861, -76, 42, -2, 1], 'lmfdb_label': '90459.f3', 'torsion': [2, 8]}
  • id: 4227818
    {'degree': 16, 'field': [35335504, -22390720, 28493236, -13163716, 9079817, -3288754, 1605114, -484510, 184526, -47036, 14454, -3122, 854, -182, 46, -8, 1], 'lmfdb_label': '90459.f3', 'torsion': [2, 8]}
  • id: 4227816
    {'degree': 16, 'field': [788037184, 0, -422170656, 0, 83307316, 0, -5930568, 0, -45327, 0, 5112, 0, 1498, 0, 48, 0, 1], 'lmfdb_label': '90459.f3', 'torsion': [4, 4]}
  • id: 4227821
    {'degree': 16, 'field': [4122795681, 0, -517512237, 0, 132392416, 0, -13306458, 0, 783678, 0, -28369, 0, 1176, 0, 0, 0, 1], 'lmfdb_label': '90459.f3', 'torsion': [12]}
• 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: 2212240
    {'conductor': 90459, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '90459.f3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2212241
    {'conductor': 90459, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90459.f3', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2212242
    {'conductor': 90459, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '90459.f3', 'prime': 23, '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: 2259548
    {'adelic_gens': [[9523, 9522, 8050, 2347], [7361, 6900, 1886, 6671], [5312, 2277, 299, 7750], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [455, 0, 0, 10487], [10481, 8, 10480, 9], [7, 6, 10482, 10483], [10420, 2737, 2231, 3198]], 'adelic_image': '10488.48.0.?', 'conductor': 90459, 'lmfdb_label': '90459.f3', 'prime': 0}
  • id: 367249
    {'conductor': 90459, 'elladic_image': '4.6.0.1', 'lmfdb_label': '90459.f3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 90459.f does not appear in ec_padic