Elliptic curve data - 47432.k1

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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': '47432p', 'Clabel': '47432p1', 'Cnumber': 1, 'abc_quality': 0.8443451250675186, 'absD': 27838667175986157568, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 88, 'ainvs': [0, -1, 0, -1092912, -358741172], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 47432, 'degree': 967680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4482064152296456421750048494', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [6902546, 1331], 'lmfdb_iso': '47432.k', 'lmfdb_label': '47432.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -184, -848], 'min_quad_twist_disc': 77, 'modell_images': [], 'modm_images': ['88.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2285741934724931597347224282', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68339956938636503355866487988', 'prec': 107}, 'szpiro_ratio': 4.952764302956507, '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, 0, -1, 0, 2, 0, 0, 0, -2, 0, 0, 0, -3, 0, -2, 0, 2, 0, -4, 0], 'aplist': [0, -1, 2, 0, 0, -3, 2, -4, -4, 7, -8, 12, 8, -8, -10, 14, -9, 5, -3, -6, -4, 17, 6, -2, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 47432, 'isogeny_matrix': [[1]], 'lmfdb_iso': '47432.k', 'trace_hash': 2107367178914314107}
• 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': '0.0074733431947539832459724958526', 'prec': 110}, 'conductor': 47432, 'gens': [[-162711, 43334698, 17]], 'heights': [{'__RealLiteral__': 0, 'data': '8.2285741934724931597347224282', 'prec': 100}], 'lmfdb_label': '47432.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14963599502598604310819790966', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9251635483416284111927207213590162410', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '47432.k1'}
• ec_torsion_growth •

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

  
  
  • id: 2315386
    {'degree': 3, 'field': [8, -16, -1, 1], 'lmfdb_label': '47432.k1', 'torsion': [2]}
  • id: 2315387
    {'degree': 6, 'field': [224, -336, 42, 92, -29, -2, 1], 'lmfdb_label': '47432.k1', 'torsion': [2, 2]}
  • id: 2315388
    {'degree': 8, 'field': [-249, -1116, -214, 42, -138, -58, -6, 0, 1], 'lmfdb_label': '47432.k1', 'torsion': [3]}
  • id: 2315389
    {'degree': 12, 'field': [-400, -2848, -6852, -5512, 628, 784, -1071, -298, -83, 12, 1, -6, 1], 'lmfdb_label': '47432.k1', 'torsion': [4]}
• 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: 1133427
    {'conductor': 47432, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '47432.k1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1133428
    {'conductor': 47432, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '47432.k1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1133429
    {'conductor': 47432, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '47432.k1', 'prime': 11, '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

  
  {'adelic_gens': [[1, 1, 87, 0], [1, 2, 0, 1], [1, 0, 2, 1], [87, 2, 86, 3], [23, 2, 23, 3], [45, 2, 45, 3], [57, 2, 57, 3]], 'adelic_image': '88.2.0.?', 'conductor': 47432, 'lmfdb_label': '47432.k1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2380652
    {'lmfdb_iso': '47432.k', 'p': 5, 'prec': 20, 'unit': 4513304746466, 'val': 1}
  • id: 2380658
    {'lmfdb_iso': '47432.k', 'p': 13, 'prec': 20, 'unit': 855913470740133982135, 'val': 1}
  • id: 2380660
    {'lmfdb_iso': '47432.k', 'p': 17, 'prec': 20, 'unit': 96831223421517384943381, 'val': 1}
  • id: 2380661
    {'lmfdb_iso': '47432.k', 'p': 19, 'prec': 20, 'unit': 1154057981167057568765402, 'val': 1}
  • id: 2380665
    {'lmfdb_iso': '47432.k', 'p': 23, 'prec': 20, 'unit': 37503602100070884859994485, 'val': 1}
  • id: 2380657
    {'lmfdb_iso': '47432.k', 'p': 29, 'prec': 20, 'unit': 2513548154785744878105522720, 'val': 1}
  • id: 2380654
    {'lmfdb_iso': '47432.k', 'p': 31, 'prec': 20, 'unit': 9241680769928638402043996149, 'val': 1}
  • id: 2380669
    {'lmfdb_iso': '47432.k', 'p': 37, 'prec': 20, 'unit': 366190839934251445215096809056, 'val': 1}
  • id: 2380655
    {'lmfdb_iso': '47432.k', 'p': 41, 'prec': 20, 'unit': 62712752186742644520330999363, 'val': 2}
  • id: 2380656
    {'lmfdb_iso': '47432.k', 'p': 43, 'prec': 20, 'unit': 7027243828255478611310512228504, 'val': 1}
  • id: 2380667
    {'lmfdb_iso': '47432.k', 'p': 47, 'prec': 20, 'unit': 11017454360482111677071809625726, 'val': 1}
  • id: 2380662
    {'lmfdb_iso': '47432.k', 'p': 53, 'prec': 20, 'unit': 573286848820210422178793272504676, 'val': 1}
  • id: 2380663
    {'lmfdb_iso': '47432.k', 'p': 59, 'prec': 20, 'unit': 4013869456966553581351085526143525, 'val': 1}
  • id: 2380668
    {'lmfdb_iso': '47432.k', 'p': 61, 'prec': 20, 'unit': 959454811813594061918007468582035, 'val': 1}
  • id: 2380651
    {'lmfdb_iso': '47432.k', 'p': 67, 'prec': 20, 'unit': 11447098168421983479611288924522325, 'val': 1}
  • id: 2380653
    {'lmfdb_iso': '47432.k', 'p': 71, 'prec': 20, 'unit': 16688718563645927190186099657843124, 'val': 1}
  • id: 2380664
    {'lmfdb_iso': '47432.k', 'p': 73, 'prec': 20, 'unit': 44087218216349891828153830706009718, 'val': 1}
  • id: 2380659
    {'lmfdb_iso': '47432.k', 'p': 79, 'prec': 20, 'unit': 481281155082848025061782624146267349, 'val': 1}
  • id: 2380650
    {'lmfdb_iso': '47432.k', 'p': 83, 'prec': 20, 'unit': 2079937186386420396699141285572603530, 'val': 1}
  • id: 2380666
    {'lmfdb_iso': '47432.k', 'p': 89, 'prec': 20, 'unit': 3217038380403708496305319192813504346, 'val': 1}
  • id: 2380649
    {'lmfdb_iso': '47432.k', 'p': 97, 'prec': 20, 'unit': 53272068879408492545670044452356390654, 'val': 1}