Elliptic curve data - 90354.r2

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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': '90354m', 'Clabel': '90354m1', 'Cnumber': 1, 'abc_quality': 0.9231662754764344, 'absD': 65802197934, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 16280, 'ainvs': [1, 1, 1, 841, 8363], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 90354, 'degree': 100800, 'elladic_images': ['5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76275053822416819209307796971', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 5], 'jinv': [1298596571, 1299078], 'lmfdb_iso': '90354.r', 'lmfdb_label': '90354.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 841, 8363], 'min_quad_twist_disc': 1, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '185.24.0.?', '440.12.0.?', '3256.2.0.?', '16280.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5411277699249275946132167368', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 407], [3, 4, 30118], [5, 2, 30118], [11, 12, 8214], [37, 362, 66]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13997893993688791899894594805', 'prec': 107}, 'szpiro_ratio': 2.7881812203012233, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 3, -1, -2, 1, 1, 3, -1, -1, 4, -2, -3, 1, -3, 1, -4, 3], 'aplist': [1, -1, 3, -2, -1, 4, -3, -4, 4, -6, 0, 0, -2, 4, -7, 4, -4, -10, 12, -13, 6, 11, 9, -6, 2], 'class_deg': 5, 'class_size': 2, 'conductor': 90354, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '90354.r', 'trace_hash': 801642729624078861}
• 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': '0.21751203939430019301352540565', 'prec': 103}, 'conductor': 90354, 'gens': [[1737, 109679, 8]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5411277699249275946132167368', 'prec': 100}], 'lmfdb_label': '90354.r2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.72590457780452179278241029018', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.282083435116889397019663335425035052', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': 'a', '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '90354.r2'}
• ec_torsion_growth •

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

  
  
  • id: 4223407
    {'degree': 3, 'field': [22, 14, -1, 1], 'lmfdb_label': '90354.r2', 'torsion': [2]}
  • id: 4223408
    {'degree': 4, 'field': [49, -7, 5, -1, 1], 'lmfdb_label': '90354.r2', 'torsion': [5]}
  • id: 4223409
    {'degree': 6, 'field': [1298, -1496, 823, -44, -6, 0, 1], 'lmfdb_label': '90354.r2', 'torsion': [2, 2]}
  • id: 4223410
    {'degree': 8, 'field': [4460468, 656852, 387080, 92656, 14770, 946, -167, -2, 1], 'lmfdb_label': '90354.r2', 'torsion': [3]}
  • id: 4223411
    {'degree': 12, 'field': [-50679513, 47413008, 29966436, 16452108, 2447079, 111568, -52168, 10824, 5041, 224, -12, -4, 1], 'lmfdb_label': '90354.r2', 'torsion': [4]}
  • id: 4223412
    {'degree': 12, 'field': [20457, 7494, -4306, -395, 4633, -2516, 2195, -746, 431, -71, 33, -3, 1], 'lmfdb_label': '90354.r2', 'torsion': [10]}
  • id: 4223413
    {'degree': 20, 'field': [2146646987280896, -1905104056163584, 718960453050112, -125051010599680, -3600921264672, 9563472254192, -4266132650480, 1284487189152, -294500283872, 53795404424, -8871242376, 1157870232, -124205680, 11150272, -756920, -4949, 5119, -1012, 188, -7, 1], 'lmfdb_label': '90354.r2', 'torsion': [5]}
• 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: 2209716
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90354.r2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2209717
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '90354.r2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2209718
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90354.r2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2209719
    {'conductor': 90354, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '90354.r2', 'prime': 37, '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: 2258903
    {'adelic_gens': [[16271, 10, 16270, 11], [4071, 8150, 0, 7327], [6, 13, 16225, 16161], [1, 0, 10, 1], [1, 10, 0, 1], [11447, 10, 13265, 93], [4071, 10, 0, 1], [2961, 10, 14805, 51], [8141, 10, 8145, 51]], 'adelic_image': '16280.48.1.?', 'conductor': 90354, 'lmfdb_label': '90354.r2', 'prime': 0}
  • id: 366927
    {'conductor': 90354, 'elladic_image': '5.6.0.1', 'lmfdb_label': '90354.r2', 'modell_image': '5B', 'prime': 5}
• ec_padic •

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

  
  
  • id: 4678275
    {'lmfdb_iso': '90354.r', 'p': 5, 'prec': 20, 'unit': 13077315527283, 'val': 1}
  • id: 4678276
    {'lmfdb_iso': '90354.r', 'p': 7, 'prec': 20, 'unit': 7576621698120129, 'val': 1}
  • id: 4678280
    {'lmfdb_iso': '90354.r', 'p': 13, 'prec': 20, 'unit': 111450983274496567386, 'val': 1}
  • id: 4678282
    {'lmfdb_iso': '90354.r', 'p': 17, 'prec': 20, 'unit': 149504746841099780560790, 'val': 1}
  • id: 4678283
    {'lmfdb_iso': '90354.r', 'p': 19, 'prec': 20, 'unit': 1769663495142335940901913, 'val': 1}
  • id: 4678287
    {'lmfdb_iso': '90354.r', 'p': 23, 'prec': 20, 'unit': 43519760749563030870495713, 'val': 1}
  • id: 4678279
    {'lmfdb_iso': '90354.r', 'p': 29, 'prec': 20, 'unit': 4854852812709138615931408200, 'val': 1}
  • id: 4678277
    {'lmfdb_iso': '90354.r', 'p': 41, 'prec': 20, 'unit': 4148780115214382909331867108415, 'val': 1}
  • id: 4678278
    {'lmfdb_iso': '90354.r', 'p': 43, 'prec': 20, 'unit': 5837867323095846998731885270012, 'val': 1}
  • id: 4678290
    {'lmfdb_iso': '90354.r', 'p': 47, 'prec': 20, 'unit': 50933672764426100239252679317269, 'val': 1}
  • id: 4678284
    {'lmfdb_iso': '90354.r', 'p': 53, 'prec': 20, 'unit': 503584855010115922063152270383172, 'val': 1}
  • id: 4678285
    {'lmfdb_iso': '90354.r', 'p': 59, 'prec': 20, 'unit': 3065008086358025739401821310750723, 'val': 1}
  • id: 4678291
    {'lmfdb_iso': '90354.r', 'p': 61, 'prec': 20, 'unit': 5235741948208745299541992005417551, 'val': 1}
  • id: 4678274
    {'lmfdb_iso': '90354.r', 'p': 67, 'prec': 20, 'unit': 1590771287513814103338322982514987, 'val': 1}
  • id: 4678289
    {'lmfdb_iso': '90354.r', 'p': 71, 'prec': 20, 'unit': 48991733081082693704163379639699099, 'val': 1}
  • id: 4678286
    {'lmfdb_iso': '90354.r', 'p': 73, 'prec': 20, 'unit': 49484552246810872265291757017286712, 'val': 1}
  • id: 4678281
    {'lmfdb_iso': '90354.r', 'p': 79, 'prec': 20, 'unit': 571514292594405942337019225717074376, 'val': 1}
  • id: 4678273
    {'lmfdb_iso': '90354.r', 'p': 83, 'prec': 20, 'unit': 2673206507914353651586157385769481154, 'val': 1}
  • id: 4678288
    {'lmfdb_iso': '90354.r', 'p': 89, 'prec': 20, 'unit': 7531904740194940715938182827205917063, 'val': 1}
  • id: 4678272
    {'lmfdb_iso': '90354.r', 'p': 97, 'prec': 20, 'unit': 9832257822583784568539428173740122352, 'val': 1}