Elliptic curve data - 86490.f5

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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': '86490r', 'Clabel': '86490r2', 'Cnumber': 2, 'abc_quality': 0.9623179151422657, 'absD': 8057978059176577440000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3720, 'ainvs': [1, -1, 0, -10551960, -12463553984], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 86490, 'degree': 7864320, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9549782082315256937405459716', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [200828550012481, 12454560000], 'lmfdb_iso': '86490.f', 'lmfdb_label': '86490.f5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1220, -15600], 'min_quad_twist_disc': 93, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '12.24.0-4.b.1.2', '24.48.0-8.e.2.14', '40.48.0-8.e.2.12', '120.96.0.?', '124.24.0.?', '248.48.0.?', '372.48.0.?', '744.96.0.?', '1240.96.0.?', '3720.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0172353119686070684811337082', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68867846165489772507834119087', 'prec': 103}, 'szpiro_ratio': 5.289427492151624, '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, 0, 1, -1, 0, 0, -1, 0, 1, -4, 0, -6, 0, 0, 1, 2, 0, 4, -1], 'aplist': [-1, 0, -1, 0, -4, -6, 2, 4, -8, 6, 0, 2, -10, 4, 0, -10, 12, 2, -4, 0, -2, 0, 4, -14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 86490, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '86490.f', 'trace_hash': 1468329648094742017}
• 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': '0.0027123050966600321309201568212', 'prec': 110}, 'conductor': 86490, 'gens': [[-94576, 9469256, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '9.0172353119686070684811337082', 'prec': 100}], 'lmfdb_label': '86490.f5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.084091039846158449433501508552', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0330747756837566140947819595385573348', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-2224, 1112, 1], [3728, -1864, 1]], 'xcoord_integral_points': [-2224, 3728]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [17, 0], '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': 'a', '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '86490.f5'}
• ec_torsion_growth •

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

  
  
  • id: 4051102
    {'degree': 2, 'field': [-23, -1, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 4]}
  • id: 4051104
    {'degree': 4, 'field': [118, -10, 11, -2, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 4]}
  • id: 4051105
    {'degree': 4, 'field': [249, -63, 10, -1, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 8]}
  • id: 4051103
    {'degree': 4, 'field': [961, 0, 31, 0, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 4]}
  • id: 4051108
    {'degree': 8, 'field': [-901910, 101957, -105200, 6485, -3239, -7, 7, -4, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 6]}
  • id: 4051107
    {'degree': 8, 'field': [484, 1396, -986, -782, 297, 110, -32, -4, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 8]}
  • id: 4051106
    {'degree': 8, 'field': [4096, 0, 960, 0, 161, 0, 15, 0, 1], 'lmfdb_label': '86490.f5', 'torsion': [4, 4]}
  • id: 4051109
    {'degree': 16, 'field': [65536, 0, 65536, 0, 48896, 0, 8448, 0, -127, 0, 528, 0, 191, 0, 16, 0, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 8]}
  • id: 4051110
    {'degree': 16, 'field': [264196, 0, -349192, 0, 1210232, 0, 10668, 0, -22747, 0, -336, 0, 158, 0, -4, 0, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 8]}
  • id: 4051111
    {'degree': 16, 'field': [5550736, 0, -7971092, 0, 4772393, 0, -1479240, 0, 270056, 0, -29670, 0, 1928, 0, -68, 0, 1], 'lmfdb_label': '86490.f5', 'torsion': [4, 8]}
  • id: 4051112
    {'degree': 16, 'field': [12428725, 6106600, -3440700, -6931000, 8257910, -8032320, 6653800, -3764960, 1406871, -341888, 101008, -19296, 4490, -616, 108, -8, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 16]}
  • id: 4051113
    {'degree': 16, 'field': [307229904, 40915008, -78947136, -18905784, -4034208, 10868220, -2861255, -408364, 175821, 19858, -18319, -690, 257, 154, -39, -4, 1], 'lmfdb_label': '86490.f5', 'torsion': [2, 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: 2110429
    {'conductor': 86490, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '86490.f5', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2110430
    {'conductor': 86490, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '86490.f5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2110431
    {'conductor': 86490, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '86490.f5', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2110432
    {'conductor': 86490, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '86490.f5', 'prime': 31, '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: 2233681
    {'adelic_gens': [[1865, 936, 924, 1853], [1, 0, 8, 1], [1, 8, 0, 1], [2273, 3714, 3366, 5], [2977, 4, 0, 1], [5, 2796, 3714, 923], [5, 4, 3716, 3717], [2479, 3716, 0, 3719], [3713, 8, 3712, 9]], 'adelic_image': '3720.192.1.?', 'conductor': 86490, 'lmfdb_label': '86490.f5', 'prime': 0}
  • id: 352517
    {'conductor': 86490, 'elladic_image': '8.24.0.10', 'lmfdb_label': '86490.f5', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4468111
    {'lmfdb_iso': '86490.f', 'p': 11, 'prec': 20, 'unit': 148465247037500620, 'val': 2}
  • id: 4468112
    {'lmfdb_iso': '86490.f', 'p': 13, 'prec': 20, 'unit': 1156580529751473854377, 'val': 1}
  • id: 4468109
    {'lmfdb_iso': '86490.f', 'p': 17, 'prec': 20, 'unit': 173598051524331317872679, 'val': 1}
  • id: 4468115
    {'lmfdb_iso': '86490.f', 'p': 19, 'prec': 20, 'unit': 30286968322984970254849, 'val': 1}
  • id: 4468118
    {'lmfdb_iso': '86490.f', 'p': 23, 'prec': 20, 'unit': 17703674425686627722687725, 'val': 1}
  • id: 4468113
    {'lmfdb_iso': '86490.f', 'p': 29, 'prec': 20, 'unit': 2489507842209200700453410055, 'val': 1}
  • id: 4468108
    {'lmfdb_iso': '86490.f', 'p': 37, 'prec': 20, 'unit': 439502624739510651468898357415, 'val': 1}
  • id: 4468110
    {'lmfdb_iso': '86490.f', 'p': 41, 'prec': 20, 'unit': 1038089405120232080811796192608, 'val': 1}
  • id: 4468114
    {'lmfdb_iso': '86490.f', 'p': 43, 'prec': 20, 'unit': 2243692630396149890077524301458, 'val': 1}
  • id: 4468116
    {'lmfdb_iso': '86490.f', 'p': 53, 'prec': 20, 'unit': 96224480373230693254871108873828, 'val': 1}
  • id: 4468120
    {'lmfdb_iso': '86490.f', 'p': 59, 'prec': 20, 'unit': 2691619566122714828851540786882708, 'val': 1}
  • id: 4468121
    {'lmfdb_iso': '86490.f', 'p': 61, 'prec': 20, 'unit': 6144392654099987811520399508623980, 'val': 1}
  • id: 4468107
    {'lmfdb_iso': '86490.f', 'p': 67, 'prec': 20, 'unit': 23919751124400322255832960021744204, 'val': 1}
  • id: 4468117
    {'lmfdb_iso': '86490.f', 'p': 73, 'prec': 20, 'unit': 118173934025190297203292189152287947, 'val': 1}
  • id: 4468106
    {'lmfdb_iso': '86490.f', 'p': 83, 'prec': 20, 'unit': 86687079359271891928435669946241617, 'val': 1}
  • id: 4468119
    {'lmfdb_iso': '86490.f', 'p': 89, 'prec': 20, 'unit': 6132309305696900833145296549964387630, 'val': 1}
  • id: 4468105
    {'lmfdb_iso': '86490.f', 'p': 97, 'prec': 20, 'unit': 28123943433037968329748757787995156262, 'val': 1}