Elliptic curve data - 162450.bg2

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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': '162450cp', 'Clabel': '162450cp1', 'Cnumber': 1, 'abc_quality': 0.9550038011091645, 'absD': 13538642589108121500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [1, -1, 0, 534393, 93304201], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 162450, 'degree': 3870720, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3588870965177764405806604209', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [3936827539, 3158028], 'lmfdb_iso': '162450.bg', 'lmfdb_label': '162450.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 164, 518], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '456.6.0.?', '760.6.0.?', '2280.12.0.?'], '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, 'serre_invariants': [[2, 4, 16245], [3, 8, 18050], [5, 10, 6498], [19, 200, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.064998015508023728771665746813', 'prec': 110}, 'szpiro_ratio': 4.265688187022922, '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, 0, -1, 0, 0, 4, 0, -4, 0, 0, 1, 6, 0, 0, 0], 'aplist': [-1, 0, 0, 0, 4, -4, 6, 0, 0, -2, 0, -4, -12, -6, 0, 14, -10, -6, -4, 12, -8, 8, 12, -8, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 162450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '162450.bg', 'trace_hash': 933578593292105633}
• 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': '0.0089350441151988534080086969022', 'prec': 110}, 'conductor': 162450, 'gens': [], 'heights': [], 'lmfdb_label': '162450.bg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14403089150160941443984621129', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1522471320128753155187696903572293836', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-166, 83, 1]], 'xcoord_integral_points': [-166]}
• lmfdb_label 162450.bg2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7260894
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '162450.bg2', 'torsion': [2, 2]}
  • id: 7260895
    {'degree': 4, 'field': [-109, -18, 19, -2, 1], 'lmfdb_label': '162450.bg2', 'torsion': [4]}
  • id: 7260898
    {'degree': 8, 'field': [-22574, 55949, -55628, -643, 325, -7, 7, -4, 1], 'lmfdb_label': '162450.bg2', 'torsion': [6]}
  • id: 7260896
    {'degree': 8, 'field': [3336, -1704, -96, -228, 304, -86, 21, -2, 1], 'lmfdb_label': '162450.bg2', 'torsion': [2, 4]}
  • id: 7260897
    {'degree': 8, 'field': [27225, 0, 3150, 0, 295, 0, 50, 0, 1], 'lmfdb_label': '162450.bg2', 'torsion': [2, 4]}
  • id: 7260899
    {'degree': 16, 'field': [-58593478524, 246657764160, -36445962608, -35580926688, 4391858862, 1610313528, -516708016, 17871256, 11868935, -2532916, 164302, 46696, -5793, 168, 2, -4, 1], 'lmfdb_label': '162450.bg2', 'torsion': [8]}
  • id: 7260900
    {'degree': 16, 'field': [5223820176, 0, 948448080, 0, -86304992, 0, -5196120, 0, 381444, 0, 19000, 0, -3, 0, 30, 0, 1], 'lmfdb_label': '162450.bg2', '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: 4021212
    {'conductor': 162450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '162450.bg2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4021213
    {'conductor': 162450, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '162450.bg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4021214
    {'conductor': 162450, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '162450.bg2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4021215
    {'conductor': 162450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '162450.bg2', 'prime': 19, '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: 2714616
    {'adelic_gens': [[1, 2, 2, 5], [289, 1996, 1424, 855], [1, 4, 0, 1], [1921, 4, 1562, 9], [2277, 4, 2276, 5], [1141, 4, 2, 9], [1828, 1, 1823, 0], [1522, 1, 1519, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2280.12.0.?', 'conductor': 162450, 'lmfdb_label': '162450.bg2', 'prime': 0}
  • id: 617856
    {'conductor': 162450, 'elladic_image': '2.3.0.1', 'lmfdb_label': '162450.bg2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162450.bg does not appear in ec_padic