Elliptic curve data - 162288.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': '162288o', 'Clabel': '162288o4', 'Cnumber': 4, 'abc_quality': 0.9988665037729055, 'absD': 6707340663988725153792, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 7728, 'ainvs': [0, 0, 0, -124990131, -537836216974], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 162288, 'degree': 18874368, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2848093621815218643839066329', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [614716917569296417, 19093020912], 'lmfdb_iso': '162288.bg', 'lmfdb_label': '162288.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17714, 900047], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '48.48.0-8.bb.1.6', '84.12.0.?', '92.12.0.?', '112.48.0.?', '168.48.0.?', '184.48.0.?', '336.96.0.?', '1104.96.0.?', '1932.24.0.?', '2576.96.1.?', '3864.96.0.?', '7728.192.1.?'], '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, 10143], [3, 8, 18032], [7, 32, 3312], [23, 24, 7056]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'szpiro_ratio': 5.630084142015625, '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, -6, 0, 4, 0], 'aplist': [0, 0, -2, 0, -4, 2, -6, 4, -1, 2, -8, 6, -6, 4, 8, -6, -4, 10, -4, -8, 6, 0, 12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 162288, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '162288.bg', 'trace_hash': 1350419464783810234}
• 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': '0.0014023319852412454082346188186', 'prec': 110}, 'conductor': 162288, 'gens': [], 'heights': [], 'lmfdb_label': '162288.bg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.045152461733251761391608682984', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.72243938773202818226573892774614379622', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-6482, 0, 1]], 'xcoord_integral_points': [-6482]}
• lmfdb_label 162288.bg2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7252043
    {'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [2, 2]}
  • id: 7252045
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [8]}
  • id: 7252044
    {'degree': 2, 'field': [121, -1, 1], 'lmfdb_label': '162288.bg2', 'torsion': [4]}
  • id: 7252046
    {'degree': 4, 'field': [121, 0, -1, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [2, 8]}
  • id: 7252050
    {'degree': 8, 'field': [-190512, 0, -30828, 0, 1512, 0, 0, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [6]}
  • id: 7252047
    {'degree': 8, 'field': [529, 0, 0, 0, -529, 0, 0, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [2, 4]}
  • id: 7252049
    {'degree': 8, 'field': [529, 0, 736, 0, 386, 0, 32, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [16]}
  • id: 7252048
    {'degree': 8, 'field': [8464, 0, 0, 0, 2116, 0, 0, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [8]}
  • id: 7252052
    {'degree': 16, 'field': [1, 0, 19, 0, 309, 0, 950, 0, 2342, 0, 950, 0, 309, 0, 19, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [2, 16]}
  • id: 7252051
    {'degree': 16, 'field': [1, 0, 4449956, 0, 1211438, 0, 1119420, 0, 298955, 0, 2172, 0, -1030, 0, 8, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [4, 8]}
  • id: 7252053
    {'degree': 16, 'field': [11449, 31396, -7362, -104900, 229484, -318332, 307550, -225428, 128901, -58996, 23138, -7100, 1972, -392, 76, -8, 1], 'lmfdb_label': '162288.bg2', 'torsion': [2, 16]}
  • id: 7252056
    {'degree': 16, 'field': [777924, 0, 6964272, 0, 19375776, 0, 18991665, 0, 1223334, 0, 7581, 0, -63, 0, 42, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [24]}
  • id: 7252055
    {'degree': 16, 'field': [2287613241, 0, 265555896, 0, 435979462, 0, 12887004, 0, 352227, 0, 42940, 0, 942, 0, 0, 0, 1], 'lmfdb_label': '162288.bg2', 'torsion': [12]}
  • id: 7252054
    {'degree': 16, 'field': [2907797776, 0, -254398687, 0, 19997782, 0, -5301373, 0, -3353, 0, -29533, 0, 91, 0, -46, 0, 1], 'lmfdb_label': '162288.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: 4015815
    {'conductor': 162288, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '162288.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4015816
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '162288.bg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4015817
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '162288.bg2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4015818
    {'conductor': 162288, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162288.bg2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2713354
    {'adelic_gens': [[5, 4, 7724, 7725], [7713, 16, 7712, 17], [1, 2592, 3228, 3349], [1, 16, 0, 1], [6110, 3213, 4161, 3842], [1103, 5136, 3672, 2447], [2575, 0, 0, 7727], [7072, 5157, 6675, 7714], [1, 0, 16, 1], [15, 2, 7630, 7715]], 'adelic_image': '7728.192.1.?', 'conductor': 162288, 'lmfdb_label': '162288.bg2', 'prime': 0}
  • id: 617258
    {'conductor': 162288, 'elladic_image': '8.24.0.88', 'lmfdb_label': '162288.bg2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162288.bg does not appear in ec_padic