Elliptic curve data - 35322.n6

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

  
  {'Ciso': '35322p', 'Clabel': '35322p5', 'Cnumber': 5, 'abc_quality': 1.083141850233532, 'absD': 2509308967251283218, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3248, 'ainvs': [1, 0, 1, 324608, 27253784], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 29], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 35322, 'degree': 802816, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2193226986909301771417231314', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6359387729183, 4218578658], 'lmfdb_iso': '35322.n', 'lmfdb_label': '35322.n6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 386, 1277], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '16.48.0.e.1', '56.48.0.bc.1', '112.96.1.?', '116.12.0.?', '232.48.0.?', '464.96.0.?', '1624.96.0.?', '3248.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711522', 'prec': 103}, 'szpiro_ratio': 4.744412584770959, '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, 1, 1, -2, -1, -1, -1, 1, 2, 4, 1, 6, 1, -2, 1, -2, -1, 4, -2], 'aplist': [-1, 1, -2, -1, 4, 6, -2, 4, 8, 0, 0, 10, 6, 4, 0, 6, 4, -6, 4, 8, -10, 0, -4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 35322, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '35322.n', 'trace_hash': 796085639235783733}
• 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': '0.011811928156310595648142151647', 'prec': 107}, 'conductor': 35322, 'gens': [], 'heights': [], 'lmfdb_label': '35322.n6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16134359773411174519557570690', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5814975637457879231292113104011856191', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-329, 325, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 2], '3': [3, 0], '7': [0, 0], '29': 'a'}, 'iwp0': 3, 'lmfdb_label': '35322.n6'}
• ec_torsion_growth •

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

  
  
  • id: 1753634
    {'degree': 2, 'field': [-58, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [4]}
  • id: 1753633
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [2, 2]}
  • id: 1753635
    {'degree': 2, 'field': [29, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [4]}
  • id: 1753638
    {'degree': 4, 'field': [81, 0, 11, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [8]}
  • id: 1753636
    {'degree': 4, 'field': [225, 0, -28, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [2, 4]}
  • id: 1753637
    {'degree': 4, 'field': [225, 0, 86, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [8]}
  • id: 1753643
    {'degree': 8, 'field': [-963603, -585252, -121104, -10272, -1362, -28, -12, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [6]}
  • id: 1753640
    {'degree': 8, 'field': [2151, 1548, -1258, -552, 207, 80, -22, -4, 1], 'lmfdb_label': '35322.n6', 'torsion': [8]}
  • id: 1753641
    {'degree': 8, 'field': [3969, 0, 266, 0, 351, 0, 30, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [2, 8]}
  • id: 1753639
    {'degree': 8, 'field': [24451, -7252, 7742, -952, 407, 80, -22, -4, 1], 'lmfdb_label': '35322.n6', 'torsion': [2, 4]}
  • id: 1753642
    {'degree': 8, 'field': [33525, 26880, 13892, 2688, 297, -84, -6, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [16]}
  • id: 1753646
    {'degree': 16, 'field': [599319, 9853704, -5974668, -6456576, 170662, 3139752, -222072, -595240, 18623, 72968, -1552, -6136, 234, 336, -28, -8, 1], 'lmfdb_label': '35322.n6', 'torsion': [16]}
  • id: 1753648
    {'degree': 16, 'field': [1528713, -4965948, 10247472, -12733308, 12255840, -8417328, 5216644, -2397164, 1035441, -326920, 102872, -22164, 5150, -700, 120, -8, 1], 'lmfdb_label': '35322.n6', 'torsion': [2, 16]}
  • id: 1753645
    {'degree': 16, 'field': [1883961, 2581032, -690112, -3010200, -246736, 1628920, 178344, -488512, -28543, 83016, -68, -7896, 406, 392, -36, -8, 1], 'lmfdb_label': '35322.n6', 'torsion': [2, 8]}
  • id: 1753651
    {'degree': 16, 'field': [6906384, 0, 9597933, 0, 4270914, 0, 1106339, 0, 191075, 0, 21383, 0, 1471, 0, 58, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [12]}
  • id: 1753647
    {'degree': 16, 'field': [15031409, 35518504, 192765160, 164883376, 61460088, 54025944, 23298968, 3672032, 4543006, 504, 329560, -3920, 10840, -56, 168, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [16]}
  • id: 1753644
    {'degree': 16, 'field': [23532201, 9507960, 430808, -19781496, 10208072, -1853768, 2814336, -1380736, -248359, 343944, -18620, -25368, 2590, 728, -84, -8, 1], 'lmfdb_label': '35322.n6', 'torsion': [4, 4]}
  • id: 1753650
    {'degree': 16, 'field': [1768034304, 0, -1228535424, 0, 273338496, 0, -35402848, 0, 3057200, 0, -171064, 0, 5884, 0, -116, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [12]}
  • id: 1753649
    {'degree': 16, 'field': [15912308736, 0, 5323410720, 0, 357797412, 0, 56774376, 0, 2447832, 0, -44092, 0, -3516, 0, 12, 0, 1], 'lmfdb_label': '35322.n6', 'torsion': [2, 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: 831016
    {'conductor': 35322, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35322.n6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 831017
    {'conductor': 35322, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '35322.n6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 831018
    {'conductor': 35322, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35322.n6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 831019
    {'conductor': 35322, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35322.n6', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1900236
    {'adelic_gens': [[1, 16, 0, 1], [5, 4, 3244, 3245], [1, 0, 16, 1], [3133, 464, 464, 581], [3233, 16, 3232, 17], [15, 2, 3150, 3235], [204, 1769, 2523, 842], [3046, 1769, 2117, 842], [2463, 0, 0, 3247]], 'adelic_image': '3248.192.1.?', 'conductor': 35322, 'lmfdb_label': '35322.n6', 'prime': 0}
  • id: 156996
    {'conductor': 35322, 'elladic_image': '16.48.0.204', 'lmfdb_label': '35322.n6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 35322.n does not appear in ec_padic