Elliptic curve data - 171462.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
  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': '171462i', 'Clabel': '171462i3', 'Cnumber': 3, 'abc_quality': 1.0301007930420596, 'absD': 13904396014860575748, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 11152, 'ainvs': [1, 1, 1, 379871, -154971325], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 41], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 171462, 'degree': 4259840, 'elladic_images': ['16.48.0.132'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3572907287136535014625926825', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1276229915423, 2927177028], 'lmfdb_iso': '171462.n', 'lmfdb_label': '171462.n6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 226, -2232], 'min_quad_twist_disc': 41, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '16.48.0.y.2', '68.12.0.h.1', '136.48.0.?', '164.12.0.?', '272.96.1.?', '328.48.0.?', '656.96.0.?', '2788.24.0.?', '5576.96.0.?', '11152.192.1.?'], '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, 'serre_invariants': [[2, 4, 28577], [3, 4, 57154], [17, 18, 10086], [41, 842, 102]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099598', 'prec': 103}, 'szpiro_ratio': 4.251758320140295, '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, 0, 1, 1, -2, 4, -1, 2, 0, 2, 1, -1, 1, -4, -2], 'aplist': [1, -1, -2, 0, 4, 2, -1, -4, 0, 10, 8, -2, 0, 12, 0, -6, 12, -10, 12, 0, 10, 8, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 171462, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '171462.n', 'trace_hash': 1819811528366862884}
• 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': '0.0089636169371681993239113071525', 'prec': 110}, 'conductor': 171462, 'gens': [], 'heights': [], 'lmfdb_label': '171462.n6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11554343418360043949773154966', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6973898938752140639274095892756111599', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[1283, -1287, 2]], 'xcoord_integral_points': []}
• lmfdb_label 171462.n6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7616960
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '171462.n6', 'torsion': [4]}
  • id: 7616959
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '171462.n6', 'torsion': [2, 2]}
  • id: 7616961
    {'degree': 2, 'field': [697, 0, 1], 'lmfdb_label': '171462.n6', 'torsion': [4]}
  • id: 7616964
    {'degree': 4, 'field': [146, 16, -15, -2, 1], 'lmfdb_label': '171462.n6', 'torsion': [8]}
  • id: 7616963
    {'degree': 4, 'field': [542, 88, -87, -2, 1], 'lmfdb_label': '171462.n6', 'torsion': [8]}
  • id: 7616962
    {'degree': 4, 'field': [746, -14, 15, -2, 1], 'lmfdb_label': '171462.n6', 'torsion': [2, 4]}
  • id: 7616969
    {'degree': 8, 'field': [-358423, -544121, 169634, -75485, 13964, 607, -224, -1, 1], 'lmfdb_label': '171462.n6', 'torsion': [6]}
  • id: 7616967
    {'degree': 8, 'field': [866, -1852, 3174, -2572, 1107, 212, -66, -4, 1], 'lmfdb_label': '171462.n6', 'torsion': [2, 8]}
  • id: 7616968
    {'degree': 8, 'field': [3238, -152, 1036, -1712, 717, 164, -50, -4, 1], 'lmfdb_label': '171462.n6', 'torsion': [16]}
  • id: 7616965
    {'degree': 8, 'field': [12936, -4112, 4782, -1382, 797, -130, 48, -4, 1], 'lmfdb_label': '171462.n6', 'torsion': [2, 4]}
  • id: 7616966
    {'degree': 8, 'field': [2601769, 0, 309140, 0, 9950, 0, 164, 0, 1], 'lmfdb_label': '171462.n6', 'torsion': [8]}
  • id: 7616973
    {'degree': 16, 'field': [118137122, -27628280, 17304484, 21829704, -13181750, 875984, 2536672, -1947896, -78525, 330616, -21208, -22648, 2258, 672, -76, -8, 1], 'lmfdb_label': '171462.n6', 'torsion': [2, 16]}
  • id: 7616975
    {'degree': 16, 'field': [166306816, 0, -89188864, 0, 25575616, 0, -5309673, 0, 710802, 0, -59577, 0, 2977, 0, -82, 0, 1], 'lmfdb_label': '171462.n6', 'torsion': [12]}
  • id: 7616970
    {'degree': 16, 'field': [167340096, 0, -106811360, 0, 32121940, 0, -5885320, 0, 727937, 0, -58120, 0, 2858, 0, -80, 0, 1], 'lmfdb_label': '171462.n6', 'torsion': [4, 4]}
  • id: 7616971
    {'degree': 16, 'field': [206956996, 0, 39774840, 0, 21046896, 0, 4220916, 0, 679573, 0, 60816, 0, 3114, 0, 84, 0, 1], 'lmfdb_label': '171462.n6', 'torsion': [2, 8]}
  • id: 7616972
    {'degree': 16, 'field': [693330192, 923520960, -565904016, -679394832, 252559786, 97752576, -21454320, -9096976, 1733711, 340592, -49480, -8752, 306, 504, -52, -8, 1], 'lmfdb_label': '171462.n6', 'torsion': [16]}
  • id: 7616974
    {'degree': 16, 'field': [3257252343297, 835069375776, 1698211861187, -1073439649546, 473047146938, -149325888928, 18256853273, 939938114, -326760114, 11824392, 1069377, -353254, 44726, 1832, -413, -2, 1], 'lmfdb_label': '171462.n6', 'torsion': [2, 6]}
  • id: 7616976
    {'degree': 16, 'field': [6716368926929, -338463841702, 1291041693441, -672120157634, 67075700566, 8593541118, 5050295459, -2276998678, 68354430, 64820294, -6536389, -568950, 91578, 1458, -447, -2, 1], 'lmfdb_label': '171462.n6', '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: 4242037
    {'conductor': 171462, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '171462.n6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4242038
    {'conductor': 171462, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '171462.n6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4242039
    {'conductor': 171462, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '171462.n6', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4242040
    {'conductor': 171462, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '171462.n6', 'prime': 41, '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: 2769775
    {'adelic_gens': [[1, 16, 0, 1], [2461, 3280, 1148, 2297], [1928, 2993, 8159, 4634], [11137, 16, 11136, 17], [1, 0, 16, 1], [3807, 0, 0, 11151], [5, 4, 11148, 11149], [5618, 7011, 943, 1518], [15, 2, 11054, 11139]], 'adelic_image': '11152.192.1.?', 'conductor': 171462, 'lmfdb_label': '171462.n6', 'prime': 0}
  • id: 646914
    {'conductor': 171462, 'elladic_image': '16.48.0.132', 'lmfdb_label': '171462.n6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 171462.n does not appear in ec_padic