Elliptic curve data - 167310.ej2

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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': '167310bu', 'Clabel': '167310bu3', 'Cnumber': 3, 'abc_quality': 1.0122914741654505, 'absD': 93413672298587569500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [1, -1, 1, -2184188, 1327175867], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 167310, 'degree': 9289728, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5782104967986413833789928303', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 113, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-327495950129089, 26547449500], 'lmfdb_iso': '167310.ej', 'lmfdb_label': '167310.ej2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1436, -22484], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.10', '39.8.0-3.a.1.1', '78.24.0.?', '104.6.0.?', '110.6.0.?', '312.48.0.?', '330.24.0.?', '1320.48.0.?', '4290.48.0.?', '5720.12.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 83655], [3, 2, 3718], [5, 6, 33462], [11, 12, 15210], [13, 98, 990]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74642967373381816965462649105', 'prec': 103}, 'szpiro_ratio': 4.617292214113528, '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, 1, 0, 1, -1, 0, 4, 1, 0, -1, 1, 0, 0, 4, 0, 1, 6, 0, -8, -1], 'aplist': [1, 0, -1, 4, 1, 0, 6, -8, 0, 0, 4, -2, 12, 8, 6, 12, 12, 8, -8, -12, 10, -4, 12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 167310, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '167310.ej', 'trace_hash': 1214153926631402694}
• 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': '0.0057622860830409160846670817402', 'prec': 110}, 'conductor': 167310, 'gens': [], 'heights': [], 'lmfdb_label': '167310.ej2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18646155631624355083388933941', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7126160273847678300200162185871086801', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1719, 859, 1]], 'xcoord_integral_points': [-1719]}
• lmfdb_label 167310.ej2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7458287
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '167310.ej2', 'torsion': [6]}
  • id: 7458286
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '167310.ej2', 'torsion': [2, 2]}
  • id: 7458288
    {'degree': 4, 'field': [118, -76, -1, -2, 1], 'lmfdb_label': '167310.ej2', 'torsion': [4]}
  • id: 7458289
    {'degree': 4, 'field': [289, 0, 21, 0, 1], 'lmfdb_label': '167310.ej2', 'torsion': [2, 6]}
  • id: 7458290
    {'degree': 6, 'field': [2838, 660, 352, -31, 15, -1, 1], 'lmfdb_label': '167310.ej2', 'torsion': [6]}
  • id: 7458293
    {'degree': 8, 'field': [412, 928, -874, -128, 115, -64, 26, -4, 1], 'lmfdb_label': '167310.ej2', 'torsion': [12]}
  • id: 7458292
    {'degree': 8, 'field': [58666, 110466, 41079, -10438, 4429, -426, 1, -2, 1], 'lmfdb_label': '167310.ej2', 'torsion': [2, 4]}
  • id: 7458291
    {'degree': 8, 'field': [175464, 81432, 4074, 4680, 1231, -156, 50, 0, 1], 'lmfdb_label': '167310.ej2', 'torsion': [2, 4]}
  • id: 7458294
    {'degree': 12, 'field': [24336, -48672, 35880, -6864, -2168, 666, -355, 411, 90, -33, 14, -3, 1], 'lmfdb_label': '167310.ej2', 'torsion': [3, 6]}
  • id: 7458295
    {'degree': 12, 'field': [639496, 29744, 329472, 381810, -26862, 17842, 22763, -3526, 2223, -180, 75, -2, 1], 'lmfdb_label': '167310.ej2', 'torsion': [2, 6]}
  • id: 7458297
    {'degree': 16, 'field': [289738684, -298692312, 299848400, -129122732, 80005445, -27782976, 10134722, -2916348, 807139, -181896, 41404, -11860, 2619, -352, 82, -4, 1], 'lmfdb_label': '167310.ej2', 'torsion': [2, 12]}
  • id: 7458296
    {'degree': 16, 'field': [232015542424, 223757259104, 53302608472, 4867893408, -14338258, -451718656, -67493564, 21829496, 5776087, -394648, -263420, 5224, 5430, -16, -52, -8, 1], 'lmfdb_label': '167310.ej2', 'torsion': [8]}
  • id: 7458298
    {'degree': 16, 'field': [530968712976, 0, 79849259568, 0, 8967968460, 0, 426415428, 0, 14177349, 0, 359262, 0, 6435, 0, 102, 0, 1], 'lmfdb_label': '167310.ej2', 'torsion': [2, 12]}
  • id: 7458299
    {'degree': 18, 'field': [-46061798301, 65685256911, 118692806319, 61645996848, 11191353030, 6210640314, 4614632892, 773429316, -246558477, -50613395, 19826817, 3569076, -773332, -113886, 17850, 1688, -219, -9, 1], 'lmfdb_label': '167310.ej2', 'torsion': [18]}
• 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: 4143179
    {'conductor': 167310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '167310.ej2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4143180
    {'conductor': 167310, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '167310.ej2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4143181
    {'conductor': 167310, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '167310.ej2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4143182
    {'conductor': 167310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '167310.ej2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4143183
    {'conductor': 167310, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '167310.ej2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2745214
    {'adelic_gens': [[9370, 3, 12453, 17152], [14519, 17148, 1314, 17087], [1, 0, 12, 1], [11, 2, 17110, 17151], [1, 6, 6, 37], [7875, 5008, 7838, 4997], [17149, 12, 17148, 13], [1, 12, 0, 1], [10, 3, 13701, 17152], [5719, 17148, 14300, 17159], [8581, 12, 6, 73]], 'adelic_image': '17160.96.1.?', 'conductor': 167310, 'lmfdb_label': '167310.ej2', 'prime': 0}
  • id: 634144
    {'conductor': 167310, 'elladic_image': '2.3.0.1', 'lmfdb_label': '167310.ej2', 'modell_image': '2B', 'prime': 2}
  • id: 634145
    {'conductor': 167310, 'elladic_image': '3.4.0.1', 'lmfdb_label': '167310.ej2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 167310.ej does not appear in ec_padic