Elliptic curve data - 29232.bk4

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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': '29232ba', 'Clabel': '29232ba2', 'Cnumber': 2, 'abc_quality': 0.9890859325984118, 'absD': 4395448140926976, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4872, 'ainvs': [0, 0, 0, -1841619, 961934290], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 29], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29232, 'degree': 393216, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1865415178459694346632361342', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2, 4], 'jinv': [231331938231569617, 1472026689], 'lmfdb_iso': '29232.bk', 'lmfdb_label': '29232.bk4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -12789, 551346], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '12.24.0-4.b.1.1', '24.48.0-24.i.2.10', '56.48.0-56.m.1.6', '116.24.0.?', '168.96.0.?', '232.48.0.?', '348.48.0.?', '696.96.0.?', '1624.96.0.?', '4872.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2265765451038172173536326354', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94408819295196927954838139428', 'prec': 103}, 'szpiro_ratio': 5.3381276887130715, '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, 0, 0, 0, 2, 0, -1, 0, 0, 0, 4, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 2, -1, 4, -2, -2, 4, 0, -1, 8, -10, 6, -12, -8, -6, 12, -10, 12, -16, 2, 0, 4, 6, -6], 'class_deg': 8, 'class_size': 6, 'conductor': 29232, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '29232.bk', 'trace_hash': 304020222621937039}
• 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': '0.012612296405755316673362668143', 'prec': 107}, 'conductor': 29232, 'gens': [[-1393, 28710, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2265765451038172173536326354', 'prec': 100}], 'lmfdb_label': '29232.bk4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38927309339247455916717950408', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5811701046905628025274523725917871122', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[782, 0, 1], [785, 0, 1]], 'xcoord_integral_points': [-1567, -1393, 782, 785, 30185]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '29232.bk4'}
• ec_torsion_growth •

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

  
  
  • id: 1464078
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 4]}
  • id: 1464079
    {'degree': 4, 'field': [49, 7, 8, -1, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 4]}
  • id: 1464080
    {'degree': 4, 'field': [841, 0, -29, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 4]}
  • id: 1464084
    {'degree': 8, 'field': [-27, 0, 32, 0, 6, 0, -3, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 6]}
  • id: 1464083
    {'degree': 8, 'field': [4, 1084, -698, -734, 273, 110, -32, -4, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 8]}
  • id: 1464082
    {'degree': 8, 'field': [16, 0, 12, 0, 5, 0, 3, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 8]}
  • id: 1464081
    {'degree': 8, 'field': [2401, 0, -735, 0, 176, 0, -15, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [4, 4]}
  • id: 1464088
    {'degree': 16, 'field': [441, 0, 1740, 0, 2656, 0, -5733, 0, 1560, 0, -11, 0, -27, 0, -6, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 12]}
  • id: 1464085
    {'degree': 16, 'field': [234256, 0, -62920, 0, -4880, 0, -7786, 0, 1801, 0, 350, 0, -41, 0, 2, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 8]}
  • id: 1464087
    {'degree': 16, 'field': [4787344, 0, 4582012, 0, 2313137, 0, 816876, 0, 187868, 0, 24306, 0, 1724, 0, 64, 0, 1], 'lmfdb_label': '29232.bk4', 'torsion': [4, 8]}
  • id: 1464086
    {'degree': 16, 'field': [1447688649, -956626836, 948637572, 6931836, 23416930, -44555168, 36407732, -20638236, 7942003, -1981360, 525148, -73468, 14914, -1260, 200, -8, 1], 'lmfdb_label': '29232.bk4', 'torsion': [2, 8]}
• 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: 679433
    {'conductor': 29232, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '29232.bk4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 679434
    {'conductor': 29232, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '29232.bk4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 679435
    {'conductor': 29232, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '29232.bk4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 679436
    {'conductor': 29232, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29232.bk4', 'prime': 29, 'reduction_type': -1, '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: 1859401
    {'adelic_gens': [[4865, 8, 4864, 9], [1, 0, 8, 1], [4867, 1212, 6, 3661], [1, 8, 0, 1], [2441, 1224, 1212, 2429], [5, 4, 4868, 4869], [3241, 4870, 18, 5], [2089, 8, 3484, 33], [3871, 6, 162, 4867]], 'adelic_image': '4872.192.1.?', 'conductor': 29232, 'lmfdb_label': '29232.bk4', 'prime': 0}
  • id: 131934
    {'conductor': 29232, 'elladic_image': '8.24.0.14', 'lmfdb_label': '29232.bk4', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1409849
    {'lmfdb_iso': '29232.bk', 'p': 5, 'prec': 20, 'unit': 6715834208392, 'val': 1}
  • id: 1409848
    {'lmfdb_iso': '29232.bk', 'p': 11, 'prec': 20, 'unit': 19708214147088829487, 'val': 1}
  • id: 1409854
    {'lmfdb_iso': '29232.bk', 'p': 13, 'prec': 20, 'unit': 1101440809425877716870, 'val': 1}
  • id: 1409856
    {'lmfdb_iso': '29232.bk', 'p': 17, 'prec': 20, 'unit': 93683776660110010401611, 'val': 1}
  • id: 1409857
    {'lmfdb_iso': '29232.bk', 'p': 19, 'prec': 20, 'unit': 1716276053859157300085334, 'val': 1}
  • id: 1409851
    {'lmfdb_iso': '29232.bk', 'p': 31, 'prec': 20, 'unit': 19815422629738740113508208923, 'val': 1}
  • id: 1409864
    {'lmfdb_iso': '29232.bk', 'p': 37, 'prec': 20, 'unit': 315033130313291557894142576565, 'val': 1}
  • id: 1409852
    {'lmfdb_iso': '29232.bk', 'p': 41, 'prec': 20, 'unit': 1522000044199334034505304522961, 'val': 1}
  • id: 1409853
    {'lmfdb_iso': '29232.bk', 'p': 43, 'prec': 20, 'unit': 4113438215955422733554747582288, 'val': 1}
  • id: 1409855
    {'lmfdb_iso': '29232.bk', 'p': 47, 'prec': 20, 'unit': 26260524849659456095926241617746, 'val': 1}
  • id: 1409858
    {'lmfdb_iso': '29232.bk', 'p': 53, 'prec': 20, 'unit': 534115496632858003961102480323861, 'val': 1}
  • id: 1409862
    {'lmfdb_iso': '29232.bk', 'p': 59, 'prec': 20, 'unit': 1977458348763404004206013649840863, 'val': 1}
  • id: 1409863
    {'lmfdb_iso': '29232.bk', 'p': 61, 'prec': 20, 'unit': 4136782541492064803401782092597614, 'val': 1}
  • id: 1409847
    {'lmfdb_iso': '29232.bk', 'p': 67, 'prec': 20, 'unit': 25640094884007314251310020357841029, 'val': 1}
  • id: 1409850
    {'lmfdb_iso': '29232.bk', 'p': 71, 'prec': 20, 'unit': 3704018734715106542067935992507882, 'val': 1}
  • id: 1409859
    {'lmfdb_iso': '29232.bk', 'p': 73, 'prec': 20, 'unit': 139368321870180089885680536520137536, 'val': 1}
  • id: 1409860
    {'lmfdb_iso': '29232.bk', 'p': 83, 'prec': 20, 'unit': 103072903104368976332638182575866104, 'val': 1}
  • id: 1409861
    {'lmfdb_iso': '29232.bk', 'p': 89, 'prec': 20, 'unit': 413359466710534885180865411836442031, 'val': 1}
  • id: 1409846
    {'lmfdb_iso': '29232.bk', 'p': 97, 'prec': 20, 'unit': 17637756407940210444543547344706869576, 'val': 1}