Elliptic curve data - 162288.bh1

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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': '162288dd', 'Clabel': '162288dd2', 'Cnumber': 2, 'abc_quality': 1.027047455683347, 'absD': 430177450752, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, 0, 0, -1911, -6174], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 162288, 'degree': 138240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92260755499738085564527651389', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [949104, 529], 'lmfdb_iso': '162288.bh', 'lmfdb_label': '162288.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -351, 486], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '92.6.0.?', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 6, 18032], [7, 26, 3312], [23, 24, 7056]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78709871207060009270103258137', 'prec': 107}, 'szpiro_ratio': 2.8573296373936876, '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, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, -2, 0, -2, 0], 'aplist': [0, 0, -2, 0, -4, 2, -2, -2, 1, 4, 0, 2, 0, 2, 12, -2, 12, 14, -2, 0, -6, -6, 4, 18, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 162288, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '162288.bh', 'trace_hash': 1648835645916246075}
• 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': '0.15799133171953516451876758054', 'prec': 103}, 'conductor': 162288, 'gens': [], 'heights': [], 'lmfdb_label': '162288.bh1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.77486398206435090488545462974', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5497279641287018097709092594731953623', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-42, 0, 1]], 'xcoord_integral_points': [-42]}
• lmfdb_label 162288.bh1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7252880
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '162288.bh1', 'torsion': [2, 2]}
  • id: 7252881
    {'degree': 4, 'field': [147, 0, 63, 0, 1], 'lmfdb_label': '162288.bh1', 'torsion': [4]}
  • id: 7252884
    {'degree': 8, 'field': [-28812, 0, -4116, 0, 1764, 0, -63, 0, 1], 'lmfdb_label': '162288.bh1', 'torsion': [6]}
  • id: 7252882
    {'degree': 8, 'field': [121, 0, -1412, 0, -18, 0, 52, 0, 1], 'lmfdb_label': '162288.bh1', 'torsion': [2, 4]}
  • id: 7252883
    {'degree': 8, 'field': [119025, 0, -1242, 0, 3939, 0, 114, 0, 1], 'lmfdb_label': '162288.bh1', 'torsion': [2, 4]}
  • id: 7252886
    {'degree': 16, 'field': [1444, 0, -716975, 0, 664579, 0, -285323, 0, 70639, 0, -10445, 0, 889, 0, -41, 0, 1], 'lmfdb_label': '162288.bh1', 'torsion': [2, 6]}
  • id: 7252885
    {'degree': 16, 'field': [27470038516, 23763486224, 11970261176, 1970887896, -372578280, -402513152, -89407592, -14468848, 1543186, 529320, 299592, 33524, 3444, -684, 46, -4, 1], 'lmfdb_label': '162288.bh1', 'torsion': [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: 4016247
    {'conductor': 162288, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '162288.bh1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4016248
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '162288.bh1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4016249
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '162288.bh1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4016250
    {'conductor': 162288, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '162288.bh1', 'prime': 23, '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: 2713359
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [208, 73, 69, 208], [97, 4, 194, 9], [1, 4, 0, 1], [273, 4, 272, 5], [188, 1, 91, 0]], 'adelic_image': '276.12.0.?', 'conductor': 162288, 'lmfdb_label': '162288.bh1', 'prime': 0}
  • id: 617263
    {'conductor': 162288, 'elladic_image': '2.3.0.1', 'lmfdb_label': '162288.bh1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162288.bh does not appear in ec_padic