Elliptic curve data - 364650.t6

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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': '364650t', 'Clabel': '364650t5', 'Cnumber': 5, 'abc_quality': 1.0296833946320705, 'absD': 4514517109443900833129882812500000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 44880, 'ainvs': [1, 1, 0, 19200108250, -3066207476887500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 364650, 'degree': 2076180480, 'elladic_images': ['8.24.0.92'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.1396875526254400436019888059', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [50097345876551739554894890530719, 288929095004409653320312500000], 'lmfdb_iso': '364650.t', 'lmfdb_label': '364650.t6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 768004330, -24529659815100], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '20.12.0-4.c.1.1', '40.48.0-8.ba.1.7', '264.48.0.?', '272.48.0.?', '1320.96.0.?', '1360.96.0.?', '8976.96.1.?', '44880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.3349685964083898563016091393', 'prec': 100}, 'szpiro_ratio': 6.624784764045341, '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, 0, 1, 0, -1, 1, 0, 1, -1, -1, 0, 0, 1, -1, -1, -4, 0], 'aplist': [-1, -1, 0, 0, 1, -1, -1, -4, 0, 6, -8, 2, -6, -4, -8, 10, -12, -2, -4, 0, -2, -8, -4, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 364650, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '364650.t', 'trace_hash': 1286759840994329418}
• 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': '0.000034333977197584689029669567874', 'prec': 117}, 'conductor': 364650, 'gens': [], 'heights': [], 'lmfdb_label': '364650.t6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.0068991057331062224589674225530', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.44154276691879823737391504339085219659', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[411675, -411675, 2]], 'xcoord_integral_points': []}
• lmfdb_label 364650.t6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15158849
    {'degree': 2, 'field': [-330, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [4]}
  • id: 15158850
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [4]}
  • id: 15158848
    {'degree': 2, 'field': [66, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [2, 2]}
  • id: 15158852
    {'degree': 4, 'field': [1, 0, 3, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [8]}
  • id: 15158851
    {'degree': 4, 'field': [3721, 0, 142, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [2, 4]}
  • id: 15158853
    {'degree': 4, 'field': [5041, 0, -122, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [8]}
  • id: 15158857
    {'degree': 8, 'field': [-96254374, 1744069, -1777978, 67817, -33905, -7, 7, -4, 1], 'lmfdb_label': '364650.t6', 'torsion': [6]}
  • id: 15158854
    {'degree': 8, 'field': [356995, -9500, 10694, -2384, 1183, 8, 2, -4, 1], 'lmfdb_label': '364650.t6', 'torsion': [2, 4]}
  • id: 15158856
    {'degree': 8, 'field': [1193545, -143220, -10884, 264, 2189, -132, 6, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [2, 8]}
  • id: 15158855
    {'degree': 8, 'field': [5628745, 38020, -42766, 9496, -4757, 8, 2, -4, 1], 'lmfdb_label': '364650.t6', 'torsion': [8]}
  • id: 15158863
    {'degree': 16, 'field': [13983062500, 0, 1449353125, 0, 2639766250, 0, 88511875, 0, -1155125, 0, 98575, 0, 1675, 0, 10, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [12]}
  • id: 15158858
    {'degree': 16, 'field': [127445430025, 0, -7545159060, 0, 913715806, 0, -21198528, 0, 2118399, 0, -6984, 0, 2434, 0, 12, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [4, 8]}
  • id: 15158862
    {'degree': 16, 'field': [153546000911424, 0, -277183387669320, 0, 250400978208612, 0, -9706587675576, 0, 84200035260, 0, -192496524, 0, -146960, 0, 308, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [12]}
  • id: 15158861
    {'degree': 16, 'field': [12191576651515750, 132569734443100, -132247961269755, -2255391278760, 5167607296260, -4876753782570, 1673749345075, -41414433200, 10516951941, -109510338, 22524243, -349056, 66275, -3766, 558, -8, 1], 'lmfdb_label': '364650.t6', 'torsion': [2, 6]}
  • id: 15158859
    {'degree': 16, 'field': [243833084683593029, 1760922348821904, -1620843565798346, -278534668264632, 135237329914760, 4759961144116, -1460599238922, -106678648528, 24965735813, 1126427468, -215783742, -5155224, 836272, 10556, -1488, -8, 1], 'lmfdb_label': '364650.t6', 'torsion': [16]}
  • id: 15158860
    {'degree': 16, 'field': [22662091239808547148651121, 0, 37962750023100607731688, 0, -50497023580909952984, 0, -68012204159602592, 0, 43611679424734, 0, 31270276888, 0, -10859864, 0, -3392, 0, 1], 'lmfdb_label': '364650.t6', 'torsion': [16]}
• 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: 9022029
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '364650.t6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9022030
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '364650.t6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9022031
    {'conductor': 364650, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '364650.t6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9022032
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '364650.t6', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9022033
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '364650.t6', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9022034
    {'conductor': 364650, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '364650.t6', '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: 3935485
    {'adelic_gens': [[36961, 35920, 44360, 18081], [21326, 2245, 14665, 31426], [41896, 35905, 38975, 8986], [1, 16, 0, 1], [35903, 0, 0, 44879], [39176, 35905, 895, 8986], [1, 0, 16, 1], [11236, 2245, 31575, 31426], [15, 2, 44782, 44867], [5, 4, 44876, 44877], [44865, 16, 44864, 17]], 'adelic_image': '44880.192.1.?', 'conductor': 364650, 'lmfdb_label': '364650.t6', 'prime': 0}
  • id: 1254869
    {'conductor': 364650, 'elladic_image': '8.24.0.92', 'lmfdb_label': '364650.t6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 364650.t does not appear in ec_padic