Elliptic curve data - 162288.bn2

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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': '162288ew', 'Clabel': '162288ew1', 'Cnumber': 1, 'abc_quality': 0.8943465414803567, 'absD': 1472553524026368, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 552, 'ainvs': [0, 0, 0, -28371, 2606114], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 162288, 'degree': 552960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6131605327412763721942878989', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2], 'jinv': [-28756228, 16767], 'lmfdb_iso': '162288.bn', 'lmfdb_label': '162288.bn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, -260], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '46.6.0.a.1', '552.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4230557718160624575277179870', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 10143], [3, 2, 18032], [7, 26, 3312], [23, 24, 7056]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48672333658705621723703785917', 'prec': 107}, 'szpiro_ratio': 3.590016524668035, '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, -2, 0, 2, 0, 0, 0, -4, 0, 0, 0], 'aplist': [0, 0, -2, 0, -2, 2, -4, 0, -1, 10, 0, -4, -6, 4, -8, 6, -4, -8, 4, 8, -6, -6, 6, -4, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 162288, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '162288.bn', 'trace_hash': 2269797919092559935}
• 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': '0.039703296261351136221652190963', 'prec': 107}, 'conductor': 162288, 'gens': [[91, 882, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4230557718160624575277179870', 'prec': 100}], 'lmfdb_label': '162288.bn2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44330250969382184478424556815', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0467535606427132380402574884896797569', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-203, 0, 1]], 'xcoord_integral_points': [-203, -178, 91, 121]}
• lmfdb_label 162288.bn2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7253159
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '162288.bn2', 'torsion': [2, 2]}
  • id: 7253160
    {'degree': 4, 'field': [-1127, 0, 14, 0, 1], 'lmfdb_label': '162288.bn2', 'torsion': [4]}
  • id: 7253163
    {'degree': 8, 'field': [-2103, -870, -1900, 490, 214, 30, -28, -2, 1], 'lmfdb_label': '162288.bn2', 'torsion': [6]}
  • id: 7253162
    {'degree': 8, 'field': [2256, -3300, 670, 172, 212, 82, -19, -2, 1], 'lmfdb_label': '162288.bn2', 'torsion': [2, 4]}
  • id: 7253161
    {'degree': 8, 'field': [138384, 0, 23328, 0, 769, 0, -10, 0, 1], 'lmfdb_label': '162288.bn2', 'torsion': [2, 4]}
  • id: 7253164
    {'degree': 16, 'field': [52900, 0, 84098304, 0, -34260524, 0, 5691672, 0, -520827, 0, 23916, 0, -266, 0, 12, 0, 1], 'lmfdb_label': '162288.bn2', 'torsion': [8]}
  • id: 7253165
    {'degree': 16, 'field': [854268, 5627112, 12731920, 13101596, 11033260, 5397644, 1693798, -54722, -179715, -34022, 6464, 4862, 762, -166, -46, 0, 1], 'lmfdb_label': '162288.bn2', '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: 4016459
    {'conductor': 162288, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '162288.bn2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4016460
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '162288.bn2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016461
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '162288.bn2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4016462
    {'conductor': 162288, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162288.bn2', '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: 2713367
    {'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [73, 484, 344, 207], [549, 4, 548, 5], [194, 1, 455, 0], [277, 4, 2, 9]], 'adelic_image': '552.12.0.?', 'conductor': 162288, 'lmfdb_label': '162288.bn2', 'prime': 0}
  • id: 617266
    {'conductor': 162288, 'elladic_image': '2.3.0.1', 'lmfdb_label': '162288.bn2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162288.bn does not appear in ec_padic