Elliptic curve data - 170352.bl3

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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': '170352y', 'Clabel': '170352y1', 'Cnumber': 1, 'abc_quality': 0.9108369864904062, 'absD': 9065519823744663552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -1375491, -603783934], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 170352, 'degree': 3096576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4124241558765791627455253957', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4], 'jinv': [19968681097, 628992], 'lmfdb_iso': '170352.bl', 'lmfdb_label': '170352.bl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -57, -164], 'min_quad_twist_disc': 156, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '52.12.0-4.c.1.1', '56.12.0-4.c.1.3', '84.12.0.?', '168.24.0.?', '312.24.0.?', '546.6.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.325592935961928020484725603', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 10647], [3, 6, 18928], [7, 8, 24336], [13, 98, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11250384774818936039607306500', 'prec': 107}, 'szpiro_ratio': 4.484331838409164, '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, -2, 0, -1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -2, -1, 4, 0, 2, -4, -4, 2, 0, 2, 2, -4, 12, -6, 0, -10, 4, 8, 6, -8, -8, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 170352, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '170352.bl', 'trace_hash': 606248879314323522}
• 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': '0.0080277714966273947183928923572', 'prec': 110}, 'conductor': 170352, 'gens': [[433489, 277894144, 9]], 'heights': [{'__RealLiteral__': 0, 'data': '10.325592935961928020484725603', 'prec': 100}], 'lmfdb_label': '170352.bl3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13967631835352743283563931274', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7689632244494090289550691799966205653', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-767, 0, 1]], 'xcoord_integral_points': [-767]}
• lmfdb_label 170352.bl3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7573047
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '170352.bl3', 'torsion': [2, 2]}
  • id: 7573048
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [4]}
  • id: 7573049
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [4]}
  • id: 7573050
    {'degree': 4, 'field': [4, 0, 17, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [2, 4]}
  • id: 7573054
    {'degree': 8, 'field': [-2028, 0, -4095, 0, 975, 0, -65, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [6]}
  • id: 7573052
    {'degree': 8, 'field': [2704, 0, 364, 0, -75, 0, -5, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [8]}
  • id: 7573051
    {'degree': 8, 'field': [66147, 11028, -11520, 996, -527, 32, -6, -4, 1], 'lmfdb_label': '170352.bl3', 'torsion': [2, 4]}
  • id: 7573053
    {'degree': 8, 'field': [176400, 0, 1176, 0, 2065, 0, -70, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [8]}
  • id: 7573055
    {'degree': 16, 'field': [1, 0, 0, 0, -542, 0, 0, 0, 77811, 0, 0, 0, -542, 0, 0, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [4, 4]}
  • id: 7573058
    {'degree': 16, 'field': [2304, 0, -566652, 0, 6400, 0, 6600, 0, -236211, 0, -31124, 0, -1686, 0, 0, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [2, 6]}
  • id: 7573057
    {'degree': 16, 'field': [65536, 0, -4096, 0, 9472, 0, 1088, 0, 1024, 0, 68, 0, 37, 0, -1, 0, 1], 'lmfdb_label': '170352.bl3', 'torsion': [2, 8]}
  • id: 7573059
    {'degree': 16, 'field': [94121846, -144988844, 162918042, -39503758, 29223852, -12395208, 5922153, -1689602, 624288, -147590, 42993, -7974, 1875, -280, 60, -8, 1], 'lmfdb_label': '170352.bl3', 'torsion': [12]}
  • id: 7573060
    {'degree': 16, 'field': [348285172, -225563312, 307549356, -179919264, 131104260, -52994004, 23835889, -5563784, 1733418, -227970, 45297, 84, 77, -70, 30, -8, 1], 'lmfdb_label': '170352.bl3', 'torsion': [12]}
  • id: 7573056
    {'degree': 16, 'field': [613453824, 0, -121196736, 0, 20383344, 0, -4144212, 0, 555217, 0, -47156, 0, 2598, 0, -80, 0, 1], 'lmfdb_label': '170352.bl3', '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: 4214806
    {'conductor': 170352, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '170352.bl3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4214807
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '170352.bl3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4214808
    {'conductor': 170352, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '170352.bl3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4214809
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '170352.bl3', 'prime': 13, 'reduction_type': 0, '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: 2763012
    {'adelic_gens': [[2177, 8, 2176, 9], [1, 0, 8, 1], [815, 816, 1898, 809], [1, 8, 0, 1], [1, 4, 4, 17], [724, 2183, 1433, 2178], [1336, 2181, 835, 2182], [1915, 1914, 1378, 283], [7, 6, 2178, 2179], [1256, 3, 1877, 2]], 'adelic_image': '2184.48.0.?', 'conductor': 170352, 'lmfdb_label': '170352.bl3', 'prime': 0}
  • id: 643201
    {'conductor': 170352, 'elladic_image': '4.6.0.1', 'lmfdb_label': '170352.bl3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 170352.bl does not appear in ec_padic