Elliptic curve data - 46410.ck7

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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': '46410cn', 'Clabel': '46410cn1', 'Cnumber': 1, 'abc_quality': 0.9819893668946688, 'absD': 35459588343029760000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [1, 0, 0, -298010, 293238372], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 1572864, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4330645022730501578937901946', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-2926956820564562516641, 35459588343029760000], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -298010, 293238372], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '238.6.0.?', '476.24.0.?', '480.192.1.?', '952.96.0.?', '1904.192.1.?', '7280.192.2.?', '8736.192.2.?', '17680.192.2.?', '21216.192.2.?', '43680.384.5.?', '57120.384.5.?', '106080.384.5.?', '123760.384.5.?', '148512.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 119], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4330645022730501578937901946', 'prec': 100}, 'szpiro_ratio': 4.887388270298735, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
• 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, 1, 1, -1, 1, 1, 1, -4, 1, 1, -1, 1, 1, 1, 1, 4, 1], 'aplist': [1, 1, 1, -1, -4, 1, 1, 4, 8, -2, 0, 6, 10, -4, 0, -10, -4, -2, 4, 8, 10, -16, -12, 10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 46410, 'isogeny_matrix': [[1, 2, 16, 4, 4, 8, 16, 8], [2, 1, 8, 2, 2, 4, 8, 4], [16, 8, 1, 16, 4, 2, 4, 8], [4, 2, 16, 1, 4, 8, 16, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 2, 8, 2, 1, 2, 4], [16, 8, 4, 16, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '46410.ck', 'trace_hash': 531146406689786248}
• 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': '0.0077031264154726005685389105464', 'prec': 110}, 'conductor': 46410, 'gens': [], 'heights': [], 'lmfdb_label': '46410.ck7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17519962613343092272996439458', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6063880362697895273588606266025786775', 'prec': 130}, 'tamagawa_product': 2048, 'torsion_generators': [[-236, 18838, 1]], 'xcoord_integral_points': [-812, -236, 484, 2104]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [1, 0], '5': [3, 0], '7': [0, 0], '13': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '46410.ck7'}
• ec_torsion_growth •

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

  
  
  • id: 2265722
    {'degree': 2, 'field': [-276, -1, 1], 'lmfdb_label': '46410.ck7', 'torsion': [16]}
  • id: 2265721
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '46410.ck7', 'torsion': [2, 8]}
  • id: 2265723
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '46410.ck7', 'torsion': [16]}
  • id: 2265724
    {'degree': 4, 'field': [9920, 1000, -66, -1, 1], 'lmfdb_label': '46410.ck7', 'torsion': [2, 16]}
  • id: 2265729
    {'degree': 8, 'field': [-36504, 127764, -127998, 467, -230, -7, 7, -4, 1], 'lmfdb_label': '46410.ck7', 'torsion': [24]}
  • id: 2265725
    {'degree': 8, 'field': [715716, 629424, 276768, 19884, 2533, 802, 2, -2, 1], 'lmfdb_label': '46410.ck7', 'torsion': [4, 8]}
  • id: 2265726
    {'degree': 8, 'field': [30913600, 0, -1739580, 0, 38596, 0, -327, 0, 1], 'lmfdb_label': '46410.ck7', 'torsion': [2, 16]}
  • id: 2265727
    {'degree': 8, 'field': [23643543816, -1210345632, -345498372, -32785704, -979470, -5664, -827, -2, 1], 'lmfdb_label': '46410.ck7', 'torsion': [32]}
  • id: 2265728
    {'degree': 8, 'field': [130008822336, 3412188288, 126773208, 16200216, 78210, 10476, 373, -2, 1], 'lmfdb_label': '46410.ck7', 'torsion': [32]}
  • id: 2265733
    {'degree': 16, 'field': [97237956600, -147552297300, 187890396930, -18335431107, 61461018, 117732123, 19071531, -8794818, 10443249, -1053630, -128544, -1447, 5548, -217, 67, -4, 1], 'lmfdb_label': '46410.ck7', 'torsion': [2, 24]}
  • id: 2265730
    {'degree': 16, 'field': [338399423844496, -152150378938544, 34204753584008, -5343069440324, 644798549857, -83781786606, 14676297426, -2051343546, 239708463, -28746132, 3491364, -187008, -18593, 2482, 2, -2, 1], 'lmfdb_label': '46410.ck7', 'torsion': [4, 16]}
  • id: 2265735
    {'degree': 16, 'field': [32005925604000000, 0, 1437139130400000, 0, 56747732760000, 0, 1132138454375, 0, 12200023250, 0, 82273175, 0, 361825, 0, 910, 0, 1], 'lmfdb_label': '46410.ck7', 'torsion': [48]}
  • id: 2265731
    {'degree': 16, 'field': [4253128180964534400, 1623127876088428800, 321573507026075200, 34105720089572800, 1983598672080760, 46840730276400, 15429759790380, 3008125510680, 233202111166, 5992218148, -134320247, 2483526, 993885, 15936, -857, -2, 1], 'lmfdb_label': '46410.ck7', 'torsion': [2, 32]}
  • id: 2265732
    {'degree': 16, 'field': [4509141419796766320, -2037388437006442800, 516245878861377100, -46301900633784560, -858516719019104, 755711688302232, -23155984292307, 633190664886, 241881592453, -261291056, 288987022, -3204564, 908058, 20664, 553, -2, 1], 'lmfdb_label': '46410.ck7', 'torsion': [2, 32]}
  • id: 2265734
    {'degree': 16, 'field': [33300782286489000000, 0, -1003073853918150000, 0, 12566069941747500, 0, -90098759745625, 0, 407359879250, 0, -1181092825, 0, 2136325, 0, -2210, 0, 1], 'lmfdb_label': '46410.ck7', 'torsion': [48]}
• 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: 1107438
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '46410.ck7', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 1107439
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '46410.ck7', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 1107440
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46410.ck7', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1107441
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46410.ck7', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1107442
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.ck7', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1107443
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46410.ck7', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1973351
    {'adelic_gens': [[212190, 31, 318089, 742404], [1, 0, 32, 1], [1, 32, 0, 1], [456983, 26, 172134, 875], [5, 28, 68, 381], [92823, 2, 92842, 15], [495041, 32, 495056, 513], [594071, 26, 145974, 739691], [611552, 29, 701707, 2562], [603361, 32, 418154, 479], [23, 18, 739998, 740555], [742529, 32, 742528, 33]], 'adelic_image': '742560.768.13.?', 'conductor': 46410, 'lmfdb_label': '46410.ck7', 'prime': 0}
  • id: 200885
    {'conductor': 46410, 'elladic_image': '16.96.0.95', 'lmfdb_label': '46410.ck7', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 46410.ck does not appear in ec_padic