Elliptic curve data - 54150.bk2

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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': '54150t', 'Clabel': '54150t1', 'Cnumber': 1, 'abc_quality': 1.1039642539944747, 'absD': 619560379735680000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 228, 'ainvs': [1, 0, 1, -21330776, 1919420198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54150, 'degree': 14008320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2547999095373542494085910313', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [212883113611, 122880000], 'lmfdb_iso': '54150.bk', 'lmfdb_label': '54150.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2364, -2438], 'min_quad_twist_disc': -95, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.g.1', '76.6.0.?', '114.6.0.?', '228.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24175171894547371710144079077', 'prec': 103}, 'szpiro_ratio': 5.710400633062417, '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, 4, -1, 1, 0, 6, 1, -4, -4, 0, 1, -6, -1, 0, 0], 'aplist': [-1, 1, 0, 4, 6, -4, -6, 0, -6, -2, 0, -8, -10, 4, 2, 10, 12, 2, -8, 0, 6, -4, -2, 14, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 54150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '54150.bk', 'trace_hash': 336510621080331638}
• 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': '0.0014890755034543044674531132732', 'prec': 110}, 'conductor': 54150, 'gens': [], 'heights': [], 'lmfdb_label': '54150.bk2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.077694995557821202225513516630', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4862398578502784712164325321589904838', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-4663, 2331, 1]], 'xcoord_integral_points': [-4663]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [5, 0], '5': 'a', '19': 'a'}, 'iwp0': 3, 'lmfdb_label': '54150.bk2'}
• ec_torsion_growth •

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

  
  
  • id: 2618098
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '54150.bk2', 'torsion': [2, 2]}
  • id: 2618099
    {'degree': 4, 'field': [101, -48, 49, -2, 1], 'lmfdb_label': '54150.bk2', 'torsion': [4]}
  • id: 2618101
    {'degree': 8, 'field': [75169, -17344, 15635, -2326, 772, -104, 23, -2, 1], 'lmfdb_label': '54150.bk2', 'torsion': [2, 4]}
  • id: 2618102
    {'degree': 8, 'field': [534144, -619080, 206067, -8326, -3985, 116, -35, -2, 1], 'lmfdb_label': '54150.bk2', 'torsion': [6]}
  • id: 2618100
    {'degree': 8, 'field': [656664, -126852, -127875, 2349, 6253, 80, -123, -1, 1], 'lmfdb_label': '54150.bk2', 'torsion': [2, 4]}
  • id: 2618103
    {'degree': 16, 'field': [28601229, -8886996, 10292034, -3069876, 2213908, -899772, 449362, -144500, 58677, -18276, 7030, -2028, 520, -112, 36, -8, 1], 'lmfdb_label': '54150.bk2', 'torsion': [8]}
  • id: 2618104
    {'degree': 16, 'field': [93721344, 542422272, -2270725260, 1786630116, -840357432, 458721624, -208003202, 58320530, -4167445, -2479980, 863258, -100496, -2340, 1552, -124, -2, 1], 'lmfdb_label': '54150.bk2', 'torsion': [2, 6]}
• 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: 1299636
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '54150.bk2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1299637
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '54150.bk2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1299638
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '54150.bk2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1299639
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '54150.bk2', 'prime': 19, '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: 2023860
    {'adelic_gens': [[61, 172, 56, 171], [160, 1, 131, 0], [225, 4, 224, 5], [1, 4, 0, 1], [154, 1, 151, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5]], 'adelic_image': '228.12.0.?', 'conductor': 54150, 'lmfdb_label': '54150.bk2', 'prime': 0}
  • id: 231016
    {'conductor': 54150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '54150.bk2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 54150.bk does not appear in ec_padic