Elliptic curve data - 42432.bd4

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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': '42432bn', 'Clabel': '42432bn1', 'Cnumber': 1, 'abc_quality': 0.9547039170966647, 'absD': 1491569664, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, -1, 0, -157, -1955], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 42432, 'degree': 24576, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44630033145843928928245600199', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 4], 'jinv': [-420616192, 1456611], 'lmfdb_iso': '42432.bd', 'lmfdb_label': '42432.bd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -39, 264], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '102.6.0.?', '104.24.0.?', '204.12.0.?', '408.24.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.626400177791597053887853254', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13132231900818180189857076589', 'prec': 107}, 'szpiro_ratio': 2.6964401430811495, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, -1, 0, 2, 0, 4, 0, 1, 0, -4, 0, -1, 0, -2, 0, 1, 0, -4, 0], 'aplist': [0, -1, 2, 4, -4, -1, 1, -4, 8, 2, 4, 6, -6, -4, 4, -14, 0, 10, -12, 8, -10, -8, -8, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 42432, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '42432.bd', 'trace_hash': 1828245092952869523}
• 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': '0.40958916308580812601087714123', 'prec': 103}, 'conductor': 42432, 'gens': [[34353, 5946305, 28]], 'heights': [{'__RealLiteral__': 0, 'data': '10.626400177791597053887853254', 'prec': 100}], 'lmfdb_label': '42432.bd4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.61911158667616673013980769105', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5789274747284558908798515685702487043', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[17, 0, 1]], 'xcoord_integral_points': [17]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '42432.bd4'}
• ec_torsion_growth •

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

  
  
  • id: 2082453
    {'degree': 2, 'field': [-102, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [4]}
  • id: 2082454
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [4]}
  • id: 2082452
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '42432.bd4', 'torsion': [2, 2]}
  • id: 2082455
    {'degree': 4, 'field': [123, -30, 31, -2, 1], 'lmfdb_label': '42432.bd4', 'torsion': [2, 4]}
  • id: 2082459
    {'degree': 8, 'field': [-48, 0, 6592, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [6]}
  • id: 2082458
    {'degree': 8, 'field': [169, 0, 52, 0, -22, 0, 4, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [8]}
  • id: 2082456
    {'degree': 8, 'field': [169, 0, 76, 0, 27, 0, -2, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [2, 4]}
  • id: 2082457
    {'degree': 8, 'field': [91204, 0, -30296, 0, 3492, 0, -128, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [8]}
  • id: 2082465
    {'degree': 16, 'field': [2704, 0, 10816, 0, 10816, 0, -1008, 0, -1320, 0, 216, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [12]}
  • id: 2082460
    {'degree': 16, 'field': [73441, -96476, 63368, -55492, 43526, -15352, 3576, 420, -3737, 2424, -792, 212, 62, -76, 32, -8, 1], 'lmfdb_label': '42432.bd4', 'torsion': [4, 4]}
  • id: 2082463
    {'degree': 16, 'field': [257049, 0, 1498692, 0, 2598544, 0, 1121640, 0, 134814, 0, 716, 0, 1068, 0, 0, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [2, 6]}
  • id: 2082461
    {'degree': 16, 'field': [312481, 232544, 364572, -658528, 82534, -66136, 21472, 3232, 18687, 1192, -376, 800, 10, -8, 4, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [2, 8]}
  • id: 2082462
    {'degree': 16, 'field': [815730721, 0, -984669036, 0, 430071538, 0, -85155720, 0, 8850699, 0, -503880, 0, 15058, 0, -204, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [2, 8]}
  • id: 2082464
    {'degree': 16, 'field': [180179874576, 0, -55021197504, 0, 7672129504, 0, -607063152, 0, 29699208, 0, -928504, 0, 18204, 0, -204, 0, 1], 'lmfdb_label': '42432.bd4', 'torsion': [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: 1007227
    {'conductor': 42432, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '42432.bd4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1007228
    {'conductor': 42432, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '42432.bd4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1007229
    {'conductor': 42432, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '42432.bd4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1007230
    {'conductor': 42432, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '42432.bd4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1947034
    {'adelic_gens': [[1, 0, 8, 1], [7, 6, 5298, 5299], [1, 8, 0, 1], [1, 4, 4, 17], [4637, 4638, 3302, 653], [1772, 1, 3559, 6], [655, 660, 658, 3313], [3265, 8, 2452, 33], [5297, 8, 5296, 9], [2188, 1, 647, 6]], 'adelic_image': '5304.48.0.?', 'conductor': 42432, 'lmfdb_label': '42432.bd4', 'prime': 0}
  • id: 185323
    {'conductor': 42432, 'elladic_image': '8.12.0.7', 'lmfdb_label': '42432.bd4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2112091
    {'lmfdb_iso': '42432.bd', 'p': 5, 'prec': 20, 'unit': 1138671467013, 'val': 1}
  • id: 2112092
    {'lmfdb_iso': '42432.bd', 'p': 7, 'prec': 20, 'unit': 7390837436522984, 'val': 1}
  • id: 2112098
    {'lmfdb_iso': '42432.bd', 'p': 11, 'prec': 20, 'unit': 55567752265419566945, 'val': 1}
  • id: 2112099
    {'lmfdb_iso': '42432.bd', 'p': 19, 'prec': 20, 'unit': 1688717756589182135681188, 'val': 1}
  • id: 2112102
    {'lmfdb_iso': '42432.bd', 'p': 23, 'prec': 20, 'unit': 60845262928106383745601272, 'val': 1}
  • id: 2112096
    {'lmfdb_iso': '42432.bd', 'p': 29, 'prec': 20, 'unit': 6024048675368571112394629760, 'val': 1}
  • id: 2112093
    {'lmfdb_iso': '42432.bd', 'p': 31, 'prec': 20, 'unit': 2443397118086267748037257274, 'val': 1}
  • id: 2112107
    {'lmfdb_iso': '42432.bd', 'p': 37, 'prec': 20, 'unit': 517712625727350071224786939861, 'val': 1}
  • id: 2112094
    {'lmfdb_iso': '42432.bd', 'p': 41, 'prec': 20, 'unit': 4342757911188877344397159166912, 'val': 1}
  • id: 2112095
    {'lmfdb_iso': '42432.bd', 'p': 43, 'prec': 20, 'unit': 5679792066961566290083807431620, 'val': 1}
  • id: 2112097
    {'lmfdb_iso': '42432.bd', 'p': 47, 'prec': 20, 'unit': 678466217578235328125995884779, 'val': 2}
  • id: 2112100
    {'lmfdb_iso': '42432.bd', 'p': 53, 'prec': 20, 'unit': 207236531132084754074885700963663, 'val': 1}
  • id: 2112106
    {'lmfdb_iso': '42432.bd', 'p': 61, 'prec': 20, 'unit': 4496521394811853494972002388358174, 'val': 1}
  • id: 2112090
    {'lmfdb_iso': '42432.bd', 'p': 67, 'prec': 20, 'unit': 24042361983843394071932035612099414, 'val': 1}
  • id: 2112104
    {'lmfdb_iso': '42432.bd', 'p': 71, 'prec': 20, 'unit': 78005821503216033860888538753315082, 'val': 1}
  • id: 2112101
    {'lmfdb_iso': '42432.bd', 'p': 73, 'prec': 20, 'unit': 51550505993594603321970743897411148, 'val': 1}
  • id: 2112105
    {'lmfdb_iso': '42432.bd', 'p': 79, 'prec': 20, 'unit': 889995978058979482396415751882378126, 'val': 1}
  • id: 2112089
    {'lmfdb_iso': '42432.bd', 'p': 83, 'prec': 20, 'unit': 1144490120810612484790093812795186631, 'val': 1}
  • id: 2112103
    {'lmfdb_iso': '42432.bd', 'p': 89, 'prec': 20, 'unit': 654218413087275789564834248654990136, 'val': 1}
  • id: 2112088
    {'lmfdb_iso': '42432.bd', 'p': 97, 'prec': 20, 'unit': 33751855903473735950069966304380801382, 'val': 1}