Elliptic curve data - 6534.a1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6534c', 'Clabel': '6534c1', 'Cnumber': 1, 'abc_quality': 1.0251241218312794, 'absD': 287496, 'adelic_genus': 1, 'adelic_index': 24, 'adelic_level': 264, 'ainvs': [1, -1, 0, -6, 28], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6534, 'degree': 864, 'elladic_images': ['3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27055126727920266977055103184', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-729, 8], 'lmfdb_iso': '6534.a', 'lmfdb_label': '6534.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -6, 28], 'min_quad_twist_disc': 1, 'modell_images': ['3Ns'], 'modm_images': ['3.6.0.b.1', '24.12.0.bx.1', '33.12.0.a.1', '264.24.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.43486232321979527439481822559', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 297], [3, 2, 121], [11, 42, 54]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1446781576458227286348482356', 'prec': 103}, 'szpiro_ratio': 2.285212319417565, '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, 0, 1, -3, 0, 0, -1, 0, 3, 0, 0, -3, 0, 0, 1, -3, 0, 6, -3], 'aplist': [-1, 0, -3, 0, 0, -3, -3, 6, 3, -6, 4, -2, 3, 6, 0, 9, -12, 15, -5, 12, 6, -15, -9, 6, 17], 'class_deg': 1, 'class_size': 1, 'conductor': 6534, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6534.a', 'trace_hash': 488532670893833872}
• 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': '1.7178998624102035806027542198', 'prec': 100}, 'conductor': 6534, 'gens': [[3, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.43486232321979527439481822559', 'prec': 103}], 'lmfdb_label': '6534.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.6224251880510769007668981413', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2807878194919996150134060802357395735', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-3, 3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 0], '7': [3, 1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '6534.a1'}
• ec_torsion_growth •

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

  
  
  • id: 341906
    {'degree': 3, 'field': [-14, -9, 0, 1], 'lmfdb_label': '6534.a1', 'torsion': [2]}
  • id: 341908
    {'degree': 4, 'field': [-2, 5, -4, -2, 1], 'lmfdb_label': '6534.a1', 'torsion': [3]}
  • id: 341907
    {'degree': 4, 'field': [4, 2, -1, -1, 1], 'lmfdb_label': '6534.a1', 'torsion': [3]}
  • id: 341909
    {'degree': 6, 'field': [66, 0, 93, 0, 36, 0, 1], 'lmfdb_label': '6534.a1', 'torsion': [2, 2]}
  • id: 341910
    {'degree': 8, 'field': [16, 8, 8, 6, -1, -3, 2, -1, 1], 'lmfdb_label': '6534.a1', 'torsion': [3, 3]}
  • id: 341913
    {'degree': 12, 'field': [-512, 1152, -1920, 2032, -1656, 1080, -664, 216, -24, 2, 3, -3, 1], 'lmfdb_label': '6534.a1', 'torsion': [6]}
  • id: 341912
    {'degree': 12, 'field': [27, -135, 108, 171, 162, -675, 510, -135, -78, 51, 12, -3, 1], 'lmfdb_label': '6534.a1', 'torsion': [6]}
  • id: 341911
    {'degree': 12, 'field': [152656, 176856, -19314, -58972, 15237, 9468, -8004, -684, 1449, -64, -60, 0, 1], 'lmfdb_label': '6534.a1', '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: 131982
    {'conductor': 6534, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6534.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 131983
    {'conductor': 6534, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '6534.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 131984
    {'conductor': 6534, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '6534.a1', 'prime': 11, '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: 1707018
    {'adelic_gens': [[133, 6, 135, 239], [1, 0, 6, 1], [199, 6, 69, 19], [171, 2, 67, 261], [133, 6, 135, 19], [259, 6, 258, 7], [2, 3, 3, 5], [1, 6, 0, 1]], 'adelic_image': '264.24.1.?', 'conductor': 6534, 'lmfdb_label': '6534.a1', 'prime': 0}
  • id: 32288
    {'conductor': 6534, 'elladic_image': '3.6.0.1', 'lmfdb_label': '6534.a1', 'modell_image': '3Ns', 'prime': 3}
• ec_padic •

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

  
  
  • id: 259265
    {'lmfdb_iso': '6534.a', 'p': 5, 'prec': 20, 'unit': 12726933033782, 'val': 1}
  • id: 259271
    {'lmfdb_iso': '6534.a', 'p': 13, 'prec': 20, 'unit': 674194432065028953207, 'val': 1}
  • id: 259273
    {'lmfdb_iso': '6534.a', 'p': 17, 'prec': 20, 'unit': 98683187525984642100091, 'val': 1}
  • id: 259262
    {'lmfdb_iso': '6534.a', 'p': 19, 'prec': 20, 'unit': 1001572150525360062690758, 'val': 1}
  • id: 259277
    {'lmfdb_iso': '6534.a', 'p': 23, 'prec': 20, 'unit': 15746801145005089433622300, 'val': 1}
  • id: 259270
    {'lmfdb_iso': '6534.a', 'p': 29, 'prec': 20, 'unit': 1641836652412148156852309945, 'val': 1}
  • id: 259267
    {'lmfdb_iso': '6534.a', 'p': 31, 'prec': 20, 'unit': 450920809818434178618511972, 'val': 2}
  • id: 259281
    {'lmfdb_iso': '6534.a', 'p': 37, 'prec': 20, 'unit': 561885998192861872764848067504, 'val': 1}
  • id: 259268
    {'lmfdb_iso': '6534.a', 'p': 41, 'prec': 20, 'unit': 3899112626879712512989499760122, 'val': 1}
  • id: 259269
    {'lmfdb_iso': '6534.a', 'p': 43, 'prec': 20, 'unit': 9443931215258768758788447675607, 'val': 1}
  • id: 259275
    {'lmfdb_iso': '6534.a', 'p': 53, 'prec': 20, 'unit': 270052913096463427196603525296360, 'val': 1}
  • id: 259279
    {'lmfdb_iso': '6534.a', 'p': 59, 'prec': 20, 'unit': 1857789667821527883863708199445898, 'val': 1}
  • id: 259280
    {'lmfdb_iso': '6534.a', 'p': 61, 'prec': 20, 'unit': 1243729116288692690304446326814576, 'val': 1}
  • id: 259264
    {'lmfdb_iso': '6534.a', 'p': 67, 'prec': 20, 'unit': 20900157460207205530344921959562216, 'val': 1}
  • id: 259266
    {'lmfdb_iso': '6534.a', 'p': 71, 'prec': 20, 'unit': 101270596046089741199466805716712908, 'val': 1}
  • id: 259276
    {'lmfdb_iso': '6534.a', 'p': 73, 'prec': 20, 'unit': 95374231054072311645086407099648586, 'val': 1}
  • id: 259272
    {'lmfdb_iso': '6534.a', 'p': 79, 'prec': 20, 'unit': 543587671011368594946956998519541553, 'val': 1}
  • id: 259274
    {'lmfdb_iso': '6534.a', 'p': 83, 'prec': 20, 'unit': 2080505594137929355291140182824882958, 'val': 1}
  • id: 259278
    {'lmfdb_iso': '6534.a', 'p': 89, 'prec': 20, 'unit': 7255500975622934121487359937392769885, 'val': 1}
  • id: 259263
    {'lmfdb_iso': '6534.a', 'p': 97, 'prec': 20, 'unit': 8774974434172431818412629880169287855, 'val': 1}