Elliptic curve data - 46410.ck6

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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': '46410cn2', 'Cnumber': 2, 'abc_quality': 0.9864606854599206, 'absD': 265361167808100000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 371280, 'ainvs': [1, 0, 0, -8696090, 9838496100], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 3145728, 'elladic_images': ['8.96.0.40'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7796380925530228126024062553', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [72727020009972527154752161, 265361167808100000000], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8696090, 9838496100], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.l.2.2', '240.192.1.?', '476.48.0.?', '952.192.1.?', '4368.192.2.?', '7280.192.2.?', '10608.192.2.?', '17680.192.2.?', '21840.384.5.?', '28560.384.5.?', '53040.384.5.?', '74256.384.5.?', '123760.384.5.?', '371280.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [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': '2.7796380925530228126024062553', 'prec': 100}, 'szpiro_ratio': 5.541857387003143, 'torsion': 16, 'torsion_primes': [2], 'torsion_structure': [2, 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': '0.0038515632077363002842694552732', 'prec': 110}, 'conductor': 46410, 'gens': [], 'heights': [], 'lmfdb_label': '46410.ck6', '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': 8192, 'torsion_generators': [[-3404, 1702, 1], [1900, 12310, 1]], 'xcoord_integral_points': [-3404, -1220, 880, 1510, 1780, 1900, 2680, 8530]}
• 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.ck6'}
• ec_torsion_growth •

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

  
  
  • id: 2265736
    {'degree': 4, 'field': [900, 0, -59, 0, 1], 'lmfdb_label': '46410.ck6', 'torsion': [4, 8]}
  • id: 2265737
    {'degree': 4, 'field': [20736, 0, -258, 0, 1], 'lmfdb_label': '46410.ck6', 'torsion': [2, 16]}
  • id: 2265738
    {'degree': 4, 'field': [60486, 612, -611, -2, 1], 'lmfdb_label': '46410.ck6', 'torsion': [2, 16]}
  • id: 2265739
    {'degree': 8, 'field': [-36504, 127764, -127998, 467, -230, -7, 7, -4, 1], 'lmfdb_label': '46410.ck6', 'torsion': [2, 24]}
  • id: 2265744
    {'degree': 16, 'field': [-452494441737551866104, -285968318949876855744, -56344665873215204640, -3952848788009017920, 29867459906641500, 15835196485515888, 930157708131288, 50121879790320, 2194276257810, 75313773600, 1405099488, -74978592, -2306915, -8020, -1650, -4, 1], 'lmfdb_label': '46410.ck6', 'torsion': [2, 32]}
  • id: 2265740
    {'degree': 16, 'field': [2706446136384, 0, -700177158720, 0, 64246480468, 0, -274077956, 0, 36426969, 0, -489016, 0, 3270, 0, -116, 0, 1], 'lmfdb_label': '46410.ck6', 'torsion': [8, 8]}
  • id: 2265742
    {'degree': 16, 'field': [133424676921600, 0, 13368956089680, 0, 619836320196, 0, 17479512228, 0, 330584449, 0, 4376704, 0, 41274, 0, 268, 0, 1], 'lmfdb_label': '46410.ck6', 'torsion': [4, 16]}
  • id: 2265741
    {'degree': 16, 'field': [1079061465307680, 94228905951360, -90536574034224, -7336589743728, 3548069754498, 144381051324, -48309477174, 151493988, -31479815, -4681628, 1358950, -234932, 42856, -1736, 268, -8, 1], 'lmfdb_label': '46410.ck6', 'torsion': [4, 16]}
  • id: 2265743
    {'degree': 16, 'field': [450215931788942400, 0, 53024387805043200, 0, 6212533561818840, 0, 118528613068320, 0, 788326499196, 0, 1979044704, 0, 2808066, 0, 2184, 0, 1], 'lmfdb_label': '46410.ck6', 'torsion': [2, 32]}
• 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: 1107444
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '46410.ck6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 1107445
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '46410.ck6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 1107446
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '46410.ck6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 1107447
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.ck6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1107448
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46410.ck6', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1107449
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.ck6', 'prime': 17, 'reduction_type': 1, '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: 1973350
    {'adelic_gens': [[1, 16, 0, 1], [123761, 8, 0, 1], [65521, 16, 21846, 97], [371265, 16, 371264, 17], [114249, 16, 285668, 121], [212169, 16, 159314, 345], [297033, 8, 74212, 371241], [5, 8, 68, 92929], [1, 0, 16, 1], [1, 16, 4, 65], [15, 16, 224, 232289]], 'adelic_image': '371280.768.13.?', 'conductor': 46410, 'lmfdb_label': '46410.ck6', 'prime': 0}
  • id: 200884
    {'conductor': 46410, 'elladic_image': '8.96.0.40', 'lmfdb_label': '46410.ck6', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 46410.ck does not appear in ec_padic