Elliptic curve data - 26136.t1

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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': '26136l', 'Clabel': '26136l1', 'Cnumber': 1, 'abc_quality': 1.011061669137321, 'absD': 5487305472, 'adelic_genus': 0, 'adelic_index': 8, 'adelic_level': 12, 'ainvs': [0, 0, 0, -41580, -3263436], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 26136, 'degree': 47520, 'elladic_images': ['4.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1832105109369870031218060750', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1], 'jinv': [-1448832000, 1], 'lmfdb_iso': '26136.t', 'lmfdb_label': '26136.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -41580, -3263436], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['4.4.0.a.1', '6.2.0.a.1', '12.8.0.c.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5928830202638671017939150438', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3267], [3, 4, 968], [11, 32, 216]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68559808618180551094564740281', 'prec': 107}, 'szpiro_ratio': 4.278776214136822, '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, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 3, 0, 0, 0, -4, 0, 1, 0], 'aplist': [0, 0, 0, 4, 0, 3, -4, 1, -8, 0, 3, 7, -8, 8, -12, 4, 4, -11, 0, -16, -6, 4, 16, -8, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 26136, 'isogeny_matrix': [[1]], 'lmfdb_iso': '26136.t', 'trace_hash': 2246226848284291321}
• 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': '0.093815891168756004235982876037', 'prec': 107}, 'conductor': 26136, 'gens': [[34750, 6477758, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '9.5928830202638671017939150438', 'prec': 100}], 'lmfdb_label': '26136.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16716618057428546457013567083', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4144224607737061491750441683087784311', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [34750]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '26136.t1'}
• ec_torsion_growth •

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

  
  
  • id: 1315052
    {'degree': 3, 'field': [-22, 0, 0, 1], 'lmfdb_label': '26136.t1', 'torsion': [2]}
  • id: 1315053
    {'degree': 6, 'field': [529, -69, -60, 37, 6, -3, 1], 'lmfdb_label': '26136.t1', 'torsion': [2, 2]}
  • id: 1315054
    {'degree': 8, 'field': [-1305, -504, 906, -96, 24, -32, 6, 0, 1], 'lmfdb_label': '26136.t1', 'torsion': [3]}
  • id: 1315055
    {'degree': 12, 'field': [-13068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '26136.t1', '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: 602469
    {'conductor': 26136, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '26136.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 602470
    {'conductor': 26136, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '26136.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 602471
    {'conductor': 26136, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '26136.t1', 'prime': 11, 'reduction_type': 0, '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: 1838644
    {'adelic_gens': [[9, 4, 8, 5], [4, 9, 5, 1], [2, 1, 5, 3], [8, 3, 1, 4], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '12.8.0.?', 'conductor': 26136, 'lmfdb_label': '26136.t1', 'prime': 0}
  • id: 119008
    {'conductor': 26136, 'elladic_image': '4.4.0.1', 'lmfdb_label': '26136.t1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1247478
    {'lmfdb_iso': '26136.t', 'p': 7, 'prec': 20, 'unit': 10107892275508306, 'val': 1}
  • id: 1247481
    {'lmfdb_iso': '26136.t', 'p': 13, 'prec': 20, 'unit': 1403892417319333034129, 'val': 1}
  • id: 1247483
    {'lmfdb_iso': '26136.t', 'p': 17, 'prec': 20, 'unit': 148440275180016286343367, 'val': 1}
  • id: 1247474
    {'lmfdb_iso': '26136.t', 'p': 19, 'prec': 20, 'unit': 12829900208885242055360167, 'val': -1}
  • id: 1247487
    {'lmfdb_iso': '26136.t', 'p': 23, 'prec': 20, 'unit': 62703555706974952301919095, 'val': 1}
  • id: 1247492
    {'lmfdb_iso': '26136.t', 'p': 31, 'prec': 20, 'unit': 5330060094382022743576911189, 'val': 1}
  • id: 1247477
    {'lmfdb_iso': '26136.t', 'p': 37, 'prec': 20, 'unit': 477724197718734947169145374153, 'val': 1}
  • id: 1247479
    {'lmfdb_iso': '26136.t', 'p': 41, 'prec': 20, 'unit': 1920735464650634310492608852944, 'val': 1}
  • id: 1247480
    {'lmfdb_iso': '26136.t', 'p': 43, 'prec': 20, 'unit': 287082043217178295624156664573, 'val': 1}
  • id: 1247490
    {'lmfdb_iso': '26136.t', 'p': 47, 'prec': 20, 'unit': 22785052812059111043116926405442, 'val': 1}
  • id: 1247485
    {'lmfdb_iso': '26136.t', 'p': 53, 'prec': 20, 'unit': 524710570614903812154310191008037, 'val': 1}
  • id: 1247476
    {'lmfdb_iso': '26136.t', 'p': 59, 'prec': 20, 'unit': 3932296458872770541203084291092332, 'val': 1}
  • id: 1247491
    {'lmfdb_iso': '26136.t', 'p': 61, 'prec': 20, 'unit': 2424672396427737708293555424916595, 'val': 1}
  • id: 1247489
    {'lmfdb_iso': '26136.t', 'p': 71, 'prec': 20, 'unit': 154313393743667144112726973653028, 'val': 2}
  • id: 1247486
    {'lmfdb_iso': '26136.t', 'p': 73, 'prec': 20, 'unit': 7885573765737277200518578490178558, 'val': 1}
  • id: 1247482
    {'lmfdb_iso': '26136.t', 'p': 79, 'prec': 20, 'unit': 961623027712964617536937306111300156, 'val': 1}
  • id: 1247484
    {'lmfdb_iso': '26136.t', 'p': 83, 'prec': 20, 'unit': 90099655344452185247778592414308429, 'val': 1}
  • id: 1247488
    {'lmfdb_iso': '26136.t', 'p': 89, 'prec': 20, 'unit': 1768387076668047723163837430143548373, 'val': 1}
  • id: 1247475
    {'lmfdb_iso': '26136.t', 'p': 97, 'prec': 20, 'unit': 25459894513258309448679626425768877086, 'val': 1}