Elliptic curve data - 167310.c2

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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': '167310eb', 'Clabel': '167310eb4', 'Cnumber': 4, 'abc_quality': 0.959416462063323, 'absD': 23318871598205107031250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [1, -1, 0, -8165520, -5163149354], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 167310, 'degree': 16515072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9908790362968026502755039360', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [17111482619973769, 6627044531250], 'lmfdb_iso': '167310.c', 'lmfdb_label': '167310.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5368, 84838], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '52.12.0-4.c.1.1', '88.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '19.928502674680634926980229638', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 16731], [3, 6, 18590], [5, 6, 33462], [11, 12, 15210], [13, 98, 990]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1590982132319794365511375968', 'prec': 100}, 'szpiro_ratio': 4.935305294030831, '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, -4, -1], 'aplist': [-1, 0, -1, -4, -1, 0, -6, -4, 4, 2, -8, -2, 6, -4, 8, 6, 4, -2, -8, -8, 2, -8, -4, -10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 167310, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '167310.c', 'trace_hash': 416547887959605471}
• 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': '0.0025243843378141659182136565926', 'prec': 110}, 'conductor': 167310, 'gens': [[-1057, 48341, 1], [5193, 301466, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5971525395195943307969245887', 'prec': 100}, {'__RealLiteral__': 0, 'data': '5.5888964500147610105514274608', 'prec': 100}], 'lmfdb_label': '167310.c2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.092297009807400511768406268755', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3573648272472235691856255267722486973', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-9853, 9853, 2]], 'xcoord_integral_points': [-1057, 4677, 5193]}
• lmfdb_label 167310.c2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7459263
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [2, 2]}
  • id: 7459264
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [4]}
  • id: 7459265
    {'degree': 2, 'field': [858, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [4]}
  • id: 7459266
    {'degree': 4, 'field': [6241, 0, -106, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [2, 4]}
  • id: 7459270
    {'degree': 8, 'field': [-1238468, 567135, 46531, -1637, -1845, -251, 25, -3, 1], 'lmfdb_label': '167310.c2', 'torsion': [6]}
  • id: 7459267
    {'degree': 8, 'field': [2391, 2748, -2826, 168, -113, 32, -6, -4, 1], 'lmfdb_label': '167310.c2', 'torsion': [2, 4]}
  • id: 7459268
    {'degree': 8, 'field': [14400, 0, 2628, 0, 321, 0, 18, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [8]}
  • id: 7459269
    {'degree': 8, 'field': [352836, 0, -104544, 0, 30382, 0, -176, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [8]}
  • id: 7459271
    {'degree': 16, 'field': [5716881, 0, 21065436, 0, 6522582, 0, -405888, 0, 62695, 0, 3976, 0, 66, 0, 28, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [4, 4]}
  • id: 7459275
    {'degree': 16, 'field': [59474944, 0, 41934941, 0, 7063390, 0, -709873, 0, -173585, 0, 6887, 0, 235, 0, 26, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [12]}
  • id: 7459273
    {'degree': 16, 'field': [169000000, 0, -41210208, 0, 10042516, 0, -1274604, 0, 161433, 0, -6384, 0, 418, 0, 12, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [2, 8]}
  • id: 7459272
    {'degree': 16, 'field': [177410282401, 0, -43422453492, 0, 5605559740, 0, -1118071944, 0, 128152431, 0, -1367784, 0, 5500, 0, -132, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [2, 8]}
  • id: 7459274
    {'degree': 16, 'field': [974879769600, 0, -134850190464, 0, 4376056960, 0, -469251552, 0, 8880432, 0, -407000, 0, 4620, 0, -132, 0, 1], 'lmfdb_label': '167310.c2', 'torsion': [2, 6]}
  • id: 7459276
    {'degree': 16, 'field': [8562051311242, -6810821570124, 2539905424835, -819295980410, 168955238947, -21871028644, 4192219205, -243886370, 96785785, -5351356, 1260953, -115502, 5965, -1180, 59, -6, 1], 'lmfdb_label': '167310.c2', 'torsion': [12]}
• 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: 4143754
    {'conductor': 167310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '167310.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4143755
    {'conductor': 167310, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '167310.c2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4143756
    {'conductor': 167310, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '167310.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4143757
    {'conductor': 167310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '167310.c2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4143758
    {'conductor': 167310, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '167310.c2', '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: 2745084
    {'adelic_gens': [[7, 6, 3426, 3427], [3425, 8, 3424, 9], [2284, 3431, 1121, 3426], [1, 0, 8, 1], [791, 3424, 3164, 3399], [1, 8, 0, 1], [1, 4, 4, 17], [1291, 1288, 3026, 1293], [632, 3, 1253, 2], [1288, 3011, 433, 462]], 'adelic_image': '3432.48.0.?', 'conductor': 167310, 'lmfdb_label': '167310.c2', 'prime': 0}
  • id: 634021
    {'conductor': 167310, 'elladic_image': '4.6.0.1', 'lmfdb_label': '167310.c2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 167310.c does not appear in ec_padic