Elliptic curve data - 132496.i1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '132496h', 'Clabel': '132496h1', 'Cnumber': 1, 'abc_quality': 0.9497746365910316, 'absD': 13020803427034841890816, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 1092, 'ainvs': [0, 1, 0, -90033792, 328834457524], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 132496, 'degree': 21565440, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2528802483408479205580792451', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-1214950633, 196], 'lmfdb_iso': '132496.i', 'lmfdb_label': '132496.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -680, 6762], 'min_quad_twist_disc': 364, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '52.4.0-4.a.1.1', '84.16.0.?', '156.16.0.?', '546.8.0.?', '1092.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6308363567177593482899526278', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 8281], [7, 32, 2704], [13, 50, 784]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.55067980463136798812306878272', 'prec': 107}, 'szpiro_ratio': 5.6434824441855955, '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, -2, 0, -3, 0, 0, 0, 1, 0, -6, 0, 0, 0, 6, 0, 3, 0, 4, 0], 'aplist': [0, -2, -3, 0, -6, 0, 3, 4, 6, 3, 10, 1, -3, 10, 0, -9, 6, 7, 2, 0, -7, -14, 18, -6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 132496, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '132496.i', 'trace_hash': 349796456587144738}
• 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': '0.0014948035332199593359062467842', 'prec': 110}, 'conductor': 132496, 'gens': [[8143, 368382, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.6308363567177593482899526278', 'prec': 100}], 'lmfdb_label': '132496.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12199727819944165352200142680', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2357759508218744878720871733010361254', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [8143]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': 'a', '11': [3, 0], '13': 'a', '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '132496.i1'}
• ec_torsion_growth •

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

  
  
  • id: 6011485
    {'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '132496.i1', 'torsion': [3]}
  • id: 6011486
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '132496.i1', 'torsion': [2]}
  • id: 6011489
    {'degree': 6, 'field': [-363, -44, 122, -46, -46, -2, 1], 'lmfdb_label': '132496.i1', 'torsion': [6]}
  • id: 6011487
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '132496.i1', 'torsion': [2, 2]}
  • id: 6011488
    {'degree': 6, 'field': [120393, 0, -3185, 0, 91, 0, 1], 'lmfdb_label': '132496.i1', 'torsion': [3]}
  • id: 6011490
    {'degree': 12, 'field': [6304, 4328, -5056, -7132, 1188, 2550, -444, -419, 99, 27, 1, -5, 1], 'lmfdb_label': '132496.i1', 'torsion': [4]}
  • id: 6011492
    {'degree': 12, 'field': [283024, 0, -122192, 0, 27084, 0, -5116, 0, 669, 0, -41, 0, 1], 'lmfdb_label': '132496.i1', 'torsion': [2, 6]}
  • id: 6011491
    {'degree': 12, 'field': [971154549, 49048254, -41544441, -14875488, 7118442, 352422, -66779, -42378, 9258, 880, -165, -6, 1], 'lmfdb_label': '132496.i1', 'torsion': [3, 3]}
  • id: 6011493
    {'degree': 18, 'field': [-244746543536, 276019845408, 82166434656, -35303786032, 4077326424, 2087506224, -368643668, -47095920, -16577964, -2705096, 648366, 137682, 14503, 6198, -2343, 198, -15, -6, 1], 'lmfdb_label': '132496.i1', 'torsion': [9]}
  • id: 6011494
    {'degree': 18, 'field': [37934352, 17575920, -9623160, -3844656, 10933548, 10618092, 987766, -3169452, -999362, 274326, 163176, 4992, -12883, -2538, 747, 198, -35, -6, 1], 'lmfdb_label': '132496.i1', 'torsion': [6]}
• 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: 3267342
    {'conductor': 132496, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '132496.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3267343
    {'conductor': 132496, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '132496.i1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3267344
    {'conductor': 132496, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '132496.i1', 'prime': 13, '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: 2526404
    {'adelic_gens': [[545, 156, 819, 1091], [935, 663, 117, 896], [1081, 12, 1080, 13], [1, 0, 12, 1], [5, 2, 1054, 1077], [4, 9, 3, 7], [1, 12, 0, 1], [167, 0, 0, 1091], [989, 260, 0, 781]], 'adelic_image': '1092.32.0.?', 'conductor': 132496, 'lmfdb_label': '132496.i1', 'prime': 0}
  • id: 514805
    {'conductor': 132496, 'elladic_image': '4.2.0.1', 'lmfdb_label': '132496.i1', 'modell_image': '2G', 'prime': 2}
  • id: 514806
    {'conductor': 132496, 'elladic_image': '3.4.0.1', 'lmfdb_label': '132496.i1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 132496.i does not appear in ec_padic