Elliptic curve data - 26912.d1

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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': '26912a', 'Clabel': '26912a3', 'Cnumber': 3, 'abc_quality': 1.172456969504371, 'absD': 304549540352, 'ainvs': [0, 0, 0, -9251, -341446], 'analytic_rank': 1, 'bad_primes': [2, 29], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 26912, 'degree': 22400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0662621696416728047565930543', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '26912.d', 'lmfdb_label': '26912.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': 29, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.687425461398050817066678045', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 841], [29, 422, 32]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670530', 'prec': 103}, 'szpiro_ratio': 3.824491281379356, '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, 0, 0, -2, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, -2, 0, 0, 6, -2, 0, 0, 0, 0, 2, -10, 0, 0, 14, 0, 10, 0, 0, 6, 0, 0, -10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 26912, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '26912.d', 'trace_hash': 1595023086173870896}
• 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': '0.11853768651759263495672578931', 'prec': 103}, 'conductor': 26912, 'gens': [[1392722129, 51975262257633, 70]], 'heights': [{'__RealLiteral__': 0, 'data': '17.687425461398050817066678045', 'prec': 100}], 'lmfdb_label': '26912.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48690386426396871420573907844', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3060379030178103707766087081597767594', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-58, 0, 1]], 'xcoord_integral_points': [-58]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [3, 0], '7': [3, 1, 0], '11': [1, 1, 0], '13': [3, 0], '17': [3, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': 'a', '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '26912.d1'}
• ec_torsion_growth •

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

  
  
  • id: 1348261
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 2]}
  • id: 1348262
    {'degree': 2, 'field': [29, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [4]}
  • id: 1348263
    {'degree': 2, 'field': [58, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [4]}
  • id: 1348264
    {'degree': 4, 'field': [225, 0, 28, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 4]}
  • id: 1348268
    {'degree': 8, 'field': [-101306, -65860, -8564, 2336, -1244, -16, 10, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [6]}
  • id: 1348265
    {'degree': 8, 'field': [2151, 1548, -1258, -552, 207, 80, -22, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 4]}
  • id: 1348266
    {'degree': 8, 'field': [4385, 664, 1488, 64, 301, -4, 26, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [8]}
  • id: 1348267
    {'degree': 8, 'field': [16129, 0, 5488, 0, 980, 0, 56, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 8]}
  • id: 1348269
    {'degree': 8, 'field': [221957, -61436, 4598, 1568, 248, -56, 2, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [10]}
  • id: 1348270
    {'degree': 16, 'field': [1883961, 2581032, -690112, -3010200, -246736, 1628920, 178344, -488512, -28543, 83016, -68, -7896, 406, 392, -36, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [4, 4]}
  • id: 1348271
    {'degree': 16, 'field': [3354017, -5476788, 9180772, -8681956, 7774012, -4842712, 2906736, -1288668, 562021, -181976, 59460, -13860, 3402, -532, 96, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 8]}
  • id: 1348277
    {'degree': 16, 'field': [5831233, 3217840, -6489990, -2135188, 3525998, 520084, -1069318, -56116, 195663, 1804, -22270, 124, 1548, -8, -60, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [20]}
  • id: 1348276
    {'degree': 16, 'field': [16221262, 5161380, 14058760, 3699192, 5581516, 989940, 1288486, 117336, 190303, 4776, 18910, -144, 1264, -12, 52, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [12]}
  • id: 1348279
    {'degree': 16, 'field': [130540426, 49694168, -43104924, -31347904, 5959732, 4439112, 88740, -214152, -47460, -1500, 6036, -1616, 42, 0, 28, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [20]}
  • id: 1348274
    {'degree': 16, 'field': [982324222, 822291096, -595524124, -313568160, 126831832, 42714168, -9402844, -3271368, 203764, 86292, 16664, 1992, -746, -168, -4, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 6]}
  • id: 1348278
    {'degree': 16, 'field': [1922471716, 0, 1085472656, 0, 262742944, 0, 36133208, 0, 3103948, 0, 170816, 0, 5884, 0, 116, 0, 1], 'lmfdb_label': '26912.d1', 'torsion': [12]}
  • id: 1348273
    {'degree': 16, 'field': [2161415756, 3108958744, 1074369456, -25838080, -249305192, -46354560, 1464184, 4616304, -865162, -289604, -34076, 6160, -392, 120, 6, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [10]}
  • id: 1348275
    {'degree': 16, 'field': [3033744226, 1738067736, -1311871164, -709164960, 273954732, 124177976, -33610940, -12020520, 2531900, 720676, -121252, -28272, 3962, 672, -84, -8, 1], 'lmfdb_label': '26912.d1', 'torsion': [2, 10]}
  • id: 1348272
    {'degree': 16, 'field': [17670518461, 5049669244, 605757782, 344179248, 429131366, 15400208, -3667442, 4363332, 1053955, -280272, 25054, 3052, -3220, 168, 8, -4, 1], 'lmfdb_label': '26912.d1', 'torsion': [3, 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: 620150
    {'conductor': 26912, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '26912.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 620151
    {'conductor': 26912, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '26912.d1', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• lmfdb_label 26912.d1 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 1285653
    {'lmfdb_iso': '26912.d', 'p': 5, 'prec': 20, 'unit': 1730556869721, 'val': 2}
  • id: 1285647
    {'lmfdb_iso': '26912.d', 'p': 13, 'prec': 20, 'unit': 95412602748053120514, 'val': 2}
  • id: 1285648
    {'lmfdb_iso': '26912.d', 'p': 17, 'prec': 20, 'unit': 3382160916690730420645, 'val': 2}
  • id: 1285645
    {'lmfdb_iso': '26912.d', 'p': 37, 'prec': 20, 'unit': 191929302606298976368145177701, 'val': 1}
  • id: 1285646
    {'lmfdb_iso': '26912.d', 'p': 41, 'prec': 20, 'unit': 3081610038410885853729297265, 'val': 1}
  • id: 1285649
    {'lmfdb_iso': '26912.d', 'p': 53, 'prec': 20, 'unit': 272725165385096904026567012719635, 'val': 1}
  • id: 1285652
    {'lmfdb_iso': '26912.d', 'p': 61, 'prec': 20, 'unit': 1178644359710738120179948183723992, 'val': 1}
  • id: 1285650
    {'lmfdb_iso': '26912.d', 'p': 73, 'prec': 20, 'unit': 244580400990973421815433905376890716, 'val': 1}
  • id: 1285651
    {'lmfdb_iso': '26912.d', 'p': 89, 'prec': 20, 'unit': 8168581916616076349483828802818565540, 'val': 1}
  • id: 1285644
    {'lmfdb_iso': '26912.d', 'p': 97, 'prec': 20, 'unit': 15476218598460396813184116251228139281, 'val': 1}