Elliptic curve data - 236992.bj1

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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': '236992bj', 'Clabel': '236992bj2', 'Cnumber': 2, 'abc_quality': 1.0516944788725082, 'absD': 4534637733004090277888, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1288, 'ainvs': [0, 0, 0, -15817100, -23994686704], 'analytic_rank': 0, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 236992, 'degree': 10174464, 'elladic_images': ['4.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9725356730019050169949406053', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2], 'jinv': [926859375, 9604], 'lmfdb_iso': '236992.bj', 'lmfdb_label': '236992.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -467, -3735], 'min_quad_twist_disc': 184, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '56.24.0.dj.1', '92.24.0.?', '1288.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41880575978487521523597220075', 'prec': 107}, 'szpiro_ratio': 4.956730109704714, '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, 0, 0, 1, 0, -3, 0, 4, 0, 2, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, 0, 0, 1, 4, 2, -4, -4, 0, -2, -4, 4, -6, 4, -4, 12, 8, 0, -4, -8, -10, -8, 12, 4, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 236992, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '236992.bj', 'trace_hash': 1624944547884747559}
• 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': '0.0026187155068116475819742457359', 'prec': 110}, 'conductor': 236992, 'gens': [], 'heights': [], 'lmfdb_label': '236992.bj1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.075751220493643491613816262129', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2120195278982958658210601940606740106', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2116, 0, 1]], 'xcoord_integral_points': [-2116]}
• lmfdb_label 236992.bj1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10247967
    {'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [2, 2]}
  • id: 10247969
    {'degree': 4, 'field': [-23, 0, 0, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [2, 4]}
  • id: 10247968
    {'degree': 4, 'field': [92, 0, 0, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [4]}
  • id: 10247971
    {'degree': 8, 'field': [-406272, 0, -50784, 0, -2208, 0, 0, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [6]}
  • id: 10247970
    {'degree': 8, 'field': [484, 0, 280, 0, -40, 0, 4, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [4, 4]}
  • id: 10247975
    {'degree': 16, 'field': [-2176237175, 170130100, 552001226, -124020408, 15104030, -20818384, 8860576, -412584, -309248, 11712, -20246, 13372, -3172, 420, -16, -4, 1], 'lmfdb_label': '236992.bj1', 'torsion': [2, 6]}
  • id: 10247974
    {'degree': 16, 'field': [8281, 0, -798224, 0, 2866004, 0, -656448, 0, 104782, 0, -6928, 0, 388, 0, -32, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [2, 8]}
  • id: 10247972
    {'degree': 16, 'field': [8464, 0, 16928, 0, 30452, 0, 8280, 0, -1055, 0, -440, 0, 142, 0, -16, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [8]}
  • id: 10247973
    {'degree': 16, 'field': [234256, 0, 511104, 0, 468504, 0, 232144, 0, 67481, 0, 10516, 0, 914, 0, 44, 0, 1], 'lmfdb_label': '236992.bj1', 'torsion': [2, 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: 5876108
    {'conductor': 236992, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '236992.bj1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5876109
    {'conductor': 236992, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '236992.bj1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5876110
    {'conductor': 236992, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '236992.bj1', 'prime': 23, '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: 3172352
    {'adelic_gens': [[1, 0, 8, 1], [1281, 8, 1280, 9], [1, 8, 0, 1], [960, 3, 797, 1272], [1, 4, 4, 17], [3, 8, 1280, 1267], [185, 8, 740, 33], [5, 8, 48, 77], [972, 341, 637, 300], [649, 324, 344, 653]], 'adelic_image': '1288.48.1.?', 'conductor': 236992, 'lmfdb_label': '236992.bj1', 'prime': 0}
  • id: 860843
    {'conductor': 236992, 'elladic_image': '4.12.0.11', 'lmfdb_label': '236992.bj1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 236992.bj does not appear in ec_padic