Elliptic curve data - 388080.ke6

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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': '388080ke', 'Clabel': '388080ke6', 'Cnumber': 6, 'abc_quality': 1.0027749166866642, 'absD': 11295577943206257254400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, 3492573, 4453725346], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 388080, 'degree': 18874368, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9154970399040604403537257618', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 264, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13411719834479, 32153832150], 'lmfdb_iso': '388080.ke', 'lmfdb_label': '388080.ke6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 495, -7473], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0.bn.1', '40.24.0.cb.2', '56.24.0-8.n.1.11', '84.12.0.?', '120.48.0.?', '168.48.0.?', '176.24.0.?', '280.48.0.?', '528.48.0.?', '840.96.0.?', '880.48.0.?', '1232.48.0.?', '2640.96.1.?', '3696.96.0.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3137074113857568162476406814', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 43120], [5, 6, 77616], [7, 26, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70008864048240363268619465016', 'prec': 103}, 'szpiro_ratio': 4.503637315557644, '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, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 1, 0, -1, 2, 2, -4, 0, 2, 0, -2, 2, 12, -8, -6, 12, -6, -4, 0, 6, 16, -4, 10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 388080, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '388080.ke', 'trace_hash': 1125976016364018325}
• 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': '0.0029351577484378894698077472587', 'prec': 110}, 'conductor': 388080, 'gens': [[-553, 48510, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3137074113857568162476406814', 'prec': 100}], 'lmfdb_label': '388080.ke6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.088971052790565689782871880268', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4343691849885103097126053750485175303', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-994, 0, 1]], 'xcoord_integral_points': [-994, -553, 13647]}
• lmfdb_label 388080.ke6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16043219
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '388080.ke6', 'torsion': [4]}
  • id: 16043218
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [2, 2]}
  • id: 16043220
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [4]}
  • id: 16043221
    {'degree': 4, 'field': [4, 0, 10, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [2, 4]}
  • id: 16043222
    {'degree': 4, 'field': [16, 0, -13, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [8]}
  • id: 16043223
    {'degree': 4, 'field': [100, 0, 50, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [8]}
  • id: 16043227
    {'degree': 8, 'field': [-963756, 916848, -356823, 59196, -6009, 1182, 1, -2, 1], 'lmfdb_label': '388080.ke6', 'torsion': [6]}
  • id: 16043226
    {'degree': 8, 'field': [295, 100, 4, -224, 153, -52, 22, -4, 1], 'lmfdb_label': '388080.ke6', 'torsion': [2, 8]}
  • id: 16043225
    {'degree': 8, 'field': [2025, 0, -972, 0, 156, 0, -12, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [8]}
  • id: 16043224
    {'degree': 8, 'field': [18025, -12600, 10600, -1200, 366, -120, -8, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [2, 4]}
  • id: 16043229
    {'degree': 16, 'field': [10201, 29088, 41472, 18096, 5146, 4536, 8064, -1056, -897, 552, 288, -288, 70, -24, 0, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [2, 8]}
  • id: 16043234
    {'degree': 16, 'field': [1485961, 0, -469028, 0, -159284, 0, 199444, 0, 48766, 0, 1876, 0, 316, 0, 28, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [12]}
  • id: 16043233
    {'degree': 16, 'field': [16358113, 18075784, -15809724, -3560160, -562278, 2575752, -496400, -252776, -5517, 40872, -3792, -1704, -262, 224, -12, -8, 1], 'lmfdb_label': '388080.ke6', 'torsion': [12]}
  • id: 16043228
    {'degree': 16, 'field': [362940601, -356634720, 175219200, 12462960, 11229946, -7615080, 2275200, -143520, 94431, -49080, 7200, -1440, 646, -120, 0, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [4, 4]}
  • id: 16043230
    {'degree': 16, 'field': [696667525, 3242277800, -2823257250, -846568600, 445963360, -30977780, 16458290, -4974000, 881521, 255612, -65682, 8264, -1620, 84, 8, -8, 1], 'lmfdb_label': '388080.ke6', 'torsion': [16]}
  • id: 16043232
    {'degree': 16, 'field': [62978913936, 0, -5912341968, 0, 163773316, 0, 33561024, 0, 221256, 0, 71876, 0, -1344, 0, 48, 0, 1], 'lmfdb_label': '388080.ke6', 'torsion': [2, 6]}
  • id: 16043231
    {'degree': 16, 'field': [5057833887775, -530627667200, 563651591400, -67172438200, 36421597940, -3469727520, 1269724780, -99055880, 27389601, -1808288, 420688, -33696, 6890, -616, 108, -8, 1], 'lmfdb_label': '388080.ke6', '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: 9599965
    {'conductor': 388080, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '388080.ke6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9599966
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '388080.ke6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9599967
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '388080.ke6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9599968
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '388080.ke6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9599969
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '388080.ke6', 'prime': 11, '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: 4074129
    {'adelic_gens': [[16381, 13216, 6608, 2325], [13868, 665, 1323, 6602], [1, 16, 0, 1], [11761, 13216, 17528, 13329], [18465, 16, 18464, 17], [15497, 5264, 15106, 2295], [14944, 13195, 10605, 15854], [13199, 0, 0, 18479], [15, 2, 18382, 18467], [5, 4, 18476, 18477], [1, 0, 16, 1]], 'adelic_image': '18480.192.1.?', 'conductor': 388080, 'lmfdb_label': '388080.ke6', 'prime': 0}
  • id: 1324219
    {'conductor': 388080, 'elladic_image': '8.12.0.5', 'lmfdb_label': '388080.ke6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 388080.ke does not appear in ec_padic