Elliptic curve data - 190575.el5

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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': '190575ds', 'Clabel': '190575ds5', 'Cnumber': 5, 'abc_quality': 1.0676539350043504, 'absD': 272512040734023584484375, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, -1, 0, 843408, -25114470309], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 190575, 'degree': 19660800, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1757627273370159417962725098', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 115, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3288008303, 13504609503], 'lmfdb_iso': '190575.el', 'lmfdb_label': '190575.el5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 31, -5578], 'min_quad_twist_disc': 165, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '14.6.0.b.1', '24.24.0.bz.2', '28.12.0.g.1', '56.24.0.bf.1', '80.24.0.?', '168.48.0.?', '176.24.0.?', '240.48.0.?', '440.24.0.?', '528.48.0.?', '560.48.0.?', '660.12.0.?', '880.48.0.?', '1232.48.0.?', '1320.48.0.?', '1680.96.0.?', '2640.96.0.?', '3080.48.0.?', '3696.96.1.?', '4620.24.0.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], '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, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62278999038672563676729843574', 'prec': 103}, 'szpiro_ratio': 5.051616513840636, '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, 0, -1, 0, 0, 1, -3, 0, 0, 0, 0, 6, 1, 0, -1, -2, 0, -4, 0], 'aplist': [1, 0, 0, 1, 0, 6, -2, -4, 0, -2, 8, -6, 10, -4, -8, 6, -4, 10, 12, 0, 2, -16, -4, -18, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 190575, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 2, 4, 2], [8, 4, 2, 1, 8, 4], [4, 2, 4, 8, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '190575.el', 'trace_hash': 602482474754171081}
• 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': '0.0017440845839954728025754549067', 'prec': 110}, 'conductor': 190575, 'gens': [], 'heights': [], 'lmfdb_label': '190575.el5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.045331126423700226910911308291', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9011920911168145222983237306378488775', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[11331, -11331, 2]], 'xcoord_integral_points': []}
• lmfdb_label 190575.el5 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8393480
    {'degree': 2, 'field': [-1155, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [4]}
  • id: 8393479
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '190575.el5', 'torsion': [2, 2]}
  • id: 8393481
    {'degree': 2, 'field': [165, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [4]}
  • id: 8393483
    {'degree': 4, 'field': [841, 0, -52, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [8]}
  • id: 8393482
    {'degree': 4, 'field': [26734, -334, 335, -2, 1], 'lmfdb_label': '190575.el5', 'torsion': [2, 4]}
  • id: 8393484
    {'degree': 4, 'field': [41209, 0, 364, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [8]}
  • id: 8393488
    {'degree': 8, 'field': [-231, -5511, 4026, -2607, 825, -132, 4, -4, 1], 'lmfdb_label': '190575.el5', 'torsion': [6]}
  • id: 8393487
    {'degree': 8, 'field': [850774, 93228, -89078, -8204, 3863, 284, -90, -4, 1], 'lmfdb_label': '190575.el5', 'torsion': [2, 8]}
  • id: 8393485
    {'degree': 8, 'field': [1399489, 0, 0, 0, 3521, 0, 0, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [2, 4]}
  • id: 8393486
    {'degree': 8, 'field': [2801121, 279156, -269084, -19980, 9581, 488, -158, -4, 1], 'lmfdb_label': '190575.el5', 'torsion': [8]}
  • id: 8393494
    {'degree': 16, 'field': [-21244739, -349089548, 516257247, -839848750, 125281508, -57533388, -26128689, 7305510, -1422123, 19846, -50090, 22446, -2694, 408, 24, -8, 1], 'lmfdb_label': '190575.el5', 'torsion': [12]}
  • id: 8393493
    {'degree': 16, 'field': [10457041, -3890649, 35738003, -23362073, 15027649, -14482888, 7153274, -2067332, 615853, -88999, 14105, -2702, 1036, -268, 8, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [2, 6]}
  • id: 8393491
    {'degree': 16, 'field': [19564369, -39856432, 58410308, -32732040, 5748788, 11803528, -2264468, -1653648, 704629, -215448, 64984, -12712, 2786, -336, 68, -8, 1], 'lmfdb_label': '190575.el5', 'torsion': [16]}
  • id: 8393495
    {'degree': 16, 'field': [48175941, -43256598, 77636394, -40785228, 33003135, -8102952, 4081243, 182818, 160728, 44244, 29154, -1572, 309, 216, 24, -8, 1], 'lmfdb_label': '190575.el5', 'torsion': [12]}
  • id: 8393492
    {'degree': 16, 'field': [193662485041, 0, 222582118792, 0, 20015453416, 0, -320028128, 0, -11722466, 0, 612472, 0, 616, 0, -128, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [16]}
  • id: 8393489
    {'degree': 16, 'field': [4689827691201, 7744189176, 6393888, -15481565652, 7699309786, 28685244, 25589928, -30169948, 7617779, -89692, 57512, -21700, 3738, -84, 32, -8, 1], 'lmfdb_label': '190575.el5', 'torsion': [4, 4]}
  • id: 8393490
    {'degree': 16, 'field': [7846278856641, 0, 1585401758664, 0, 137236353418, 0, 6712998500, 0, 204162075, 0, 3963748, 0, 48030, 0, 332, 0, 1], 'lmfdb_label': '190575.el5', 'torsion': [2, 8]}
• 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: 4718335
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '190575.el5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4718336
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '190575.el5', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4718337
    {'conductor': 190575, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '190575.el5', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4718338
    {'conductor': 190575, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '190575.el5', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2887830
    {'adelic_gens': [[1219, 3680, 2720, 15099], [1, 16, 0, 1], [18465, 16, 18464, 17], [8791, 14800, 15510, 17881], [15, 2, 18382, 18467], [11101, 14800, 17300, 17241], [5, 4, 18476, 18477], [16376, 14785, 14335, 3706], [1, 0, 16, 1], [14783, 0, 0, 18479], [6719, 3680, 9400, 10959]], 'adelic_image': '18480.192.1.?', 'conductor': 190575, 'lmfdb_label': '190575.el5', 'prime': 0}
  • id: 710776
    {'conductor': 190575, 'elladic_image': '8.12.0.5', 'lmfdb_label': '190575.el5', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 190575.el does not appear in ec_padic