Elliptic curve data - 129472.bq1

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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': '129472bo', 'Clabel': '129472bo1', 'Cnumber': 1, 'abc_quality': 0.9614159071986514, 'absD': 204809131364712448, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 28, 'ainvs': [0, -1, 0, -22121601, -40039893887], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 129472, 'degree': 6580224, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7203660983682977306619248551', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1], 'jinv': [654699641761, 112], 'lmfdb_iso': '129472.bq', 'lmfdb_label': '129472.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1196, -16419], 'min_quad_twist_disc': 136, 'modell_images': [], 'modm_images': ['28.2.0.a.1'], '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': '9.7867972673887696176059399539', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20816356850909762029694640567', 'prec': 107}, 'szpiro_ratio': 5.296800062244359, '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, 4, 0, 1, 0, -2, 0, 0, 0, 2, 0, -4, 0, 0, 0, -3, 0], 'aplist': [0, -1, 4, 1, 0, 2, 0, -3, -4, 1, 9, -10, -8, -10, 13, -9, -5, 8, -8, -2, -2, -6, 3, -8, 18], 'class_deg': 1, 'class_size': 1, 'conductor': 129472, 'isogeny_matrix': [[1]], 'lmfdb_iso': '129472.bq', 'trace_hash': 1799199217590398617}
• 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': '0.0043363070781903599622832197823', 'prec': 110}, 'conductor': 129472, 'gens': [[-286712711, 1445980288, 325]], 'heights': [{'__RealLiteral__': 0, 'data': '9.7867972673887696176059399539', 'prec': 100}], 'lmfdb_label': '129472.bq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.069613812439209146147028406050', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1755552322307969247426898038967915049', 'prec': 130}, 'tamagawa_product': 12, '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': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '129472.bq1'}
• ec_torsion_growth •

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

  
  
  • id: 5886865
    {'degree': 3, 'field': [-46, -28, -1, 1], 'lmfdb_label': '129472.bq1', 'torsion': [2]}
  • id: 5886866
    {'degree': 6, 'field': [-7, 0, 95, 0, -25, 0, 1], 'lmfdb_label': '129472.bq1', 'torsion': [2, 2]}
  • id: 5886867
    {'degree': 8, 'field': [-192, 0, 190, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '129472.bq1', 'torsion': [3]}
  • id: 5886868
    {'degree': 12, 'field': [448, 0, -936, 0, 212, 0, 184, 0, -80, 0, 2, 0, 1], 'lmfdb_label': '129472.bq1', '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: 3192884
    {'conductor': 129472, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '129472.bq1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3192885
    {'conductor': 129472, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '129472.bq1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3192886
    {'conductor': 129472, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '129472.bq1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• 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, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [1, 1, 27, 0], [15, 2, 15, 3], [27, 2, 26, 3]], 'adelic_image': '28.2.0.?', 'conductor': 129472, 'lmfdb_label': '129472.bq1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6790612
    {'lmfdb_iso': '129472.bq', 'p': 5, 'prec': 20, 'unit': 15460911528226, 'val': 1}
  • id: 6790618
    {'lmfdb_iso': '129472.bq', 'p': 13, 'prec': 20, 'unit': 977659113623695726326, 'val': 1}
  • id: 6790621
    {'lmfdb_iso': '129472.bq', 'p': 19, 'prec': 20, 'unit': 289013123519451899512446, 'val': 1}
  • id: 6790624
    {'lmfdb_iso': '129472.bq', 'p': 23, 'prec': 20, 'unit': 71921583976198371117974116, 'val': 1}
  • id: 6790617
    {'lmfdb_iso': '129472.bq', 'p': 29, 'prec': 20, 'unit': 148237552800715197655724547171, 'val': -1}
  • id: 6790614
    {'lmfdb_iso': '129472.bq', 'p': 31, 'prec': 20, 'unit': 9214857546985611949716209508, 'val': 1}
  • id: 6790628
    {'lmfdb_iso': '129472.bq', 'p': 37, 'prec': 20, 'unit': 260855450814489211401624219373, 'val': 1}
  • id: 6790615
    {'lmfdb_iso': '129472.bq', 'p': 41, 'prec': 20, 'unit': 3856746350334176988306841434844, 'val': 1}
  • id: 6790616
    {'lmfdb_iso': '129472.bq', 'p': 43, 'prec': 20, 'unit': 10314873591089147370954686277515, 'val': 1}
  • id: 6790626
    {'lmfdb_iso': '129472.bq', 'p': 47, 'prec': 20, 'unit': 47936700390150836451267212847535, 'val': 1}
  • id: 6790622
    {'lmfdb_iso': '129472.bq', 'p': 53, 'prec': 20, 'unit': 371717719141161727040917206076950, 'val': 1}
  • id: 6790620
    {'lmfdb_iso': '129472.bq', 'p': 59, 'prec': 20, 'unit': 3432790870574648433512402330075054, 'val': 1}
  • id: 6790627
    {'lmfdb_iso': '129472.bq', 'p': 61, 'prec': 20, 'unit': 5710637895533320152501570152266706, 'val': 1}
  • id: 6790611
    {'lmfdb_iso': '129472.bq', 'p': 67, 'prec': 20, 'unit': 22070623430536247093524096872120424, 'val': 1}
  • id: 6790613
    {'lmfdb_iso': '129472.bq', 'p': 71, 'prec': 20, 'unit': 142307061761743840627732194194337931, 'val': 1}
  • id: 6790623
    {'lmfdb_iso': '129472.bq', 'p': 73, 'prec': 20, 'unit': 73366085493127127551472331293328110, 'val': 1}
  • id: 6790619
    {'lmfdb_iso': '129472.bq', 'p': 79, 'prec': 20, 'unit': 651752452352229708297160945704214350, 'val': 1}
  • id: 6790610
    {'lmfdb_iso': '129472.bq', 'p': 83, 'prec': 20, 'unit': 679656729442156030889159168894616155, 'val': 1}
  • id: 6790625
    {'lmfdb_iso': '129472.bq', 'p': 89, 'prec': 20, 'unit': 9528905540517314576133513862575554661, 'val': 1}
  • id: 6790609
    {'lmfdb_iso': '129472.bq', 'p': 97, 'prec': 20, 'unit': 17727281008252813930886940618284528769, 'val': 1}