Elliptic curve data - 489566.x1

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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': '489566x', 'Clabel': '489566x1', 'Cnumber': 1, 'abc_quality': 1.0498004125880718, 'absD': 5349768638052608, 'adelic_genus': 9, 'adelic_index': 192, 'adelic_level': 1904, 'ainvs': [1, -1, 0, -91922, -10110380], 'analytic_rank': 0, 'bad_primes': [2, 7, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 489566, 'degree': 2949120, 'elladic_images': ['16.48.1.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7694116152481302721793533849', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [9869198625, 614656], 'lmfdb_iso': '489566.x', 'lmfdb_label': '489566.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -760, 7803], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '8.24.0.bt.1', '16.48.1.cf.1', '34.6.0.a.1', '56.48.1.kd.1', '68.24.0.h.1', '112.96.3.?', '136.48.1.?', '272.96.3.?', '952.96.3.?', '1904.192.9.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13783935716510901991400205855', 'prec': 107}, 'szpiro_ratio': 3.503452732113282, '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, -1, -1, -3, 0, 0, 0, -2, 1, 0, 1, 0, 3, 4, 0], 'aplist': [-1, 0, 0, -1, 0, -2, 0, 4, -8, 8, -8, 8, 8, -4, -8, 10, 12, 0, -4, 8, 8, 8, -4, 6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 489566, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '489566.x', 'trace_hash': 1013485691486350776}
• 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': '0.029047489177222940314245155378', 'prec': 107}, 'conductor': 489566, 'gens': [], 'heights': [], 'lmfdb_label': '489566.x1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27525511907055542999833261032', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1010204762822217199933304412934636444', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-140, 70, 1]], 'xcoord_integral_points': [-140]}
• lmfdb_label 489566.x1 does not appear in ec_iwasawa
• lmfdb_label 489566.x1 does not appear in ec_torsion_growth
• 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: 12069370
    {'conductor': 489566, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '489566.x1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12069371
    {'conductor': 489566, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '489566.x1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12069372
    {'conductor': 489566, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '489566.x1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12069373
    {'conductor': 489566, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '489566.x1', 'prime': 17, '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: 4664176
    {'adelic_gens': [[1, 16, 8, 1557], [5, 16, 64, 205], [1361, 4, 1100, 49], [1, 16, 0, 1], [11, 16, 1840, 1811], [1, 8, 8, 65], [1889, 16, 1888, 17], [1, 956, 12, 287], [1, 0, 16, 1], [1236, 5, 819, 44]], 'adelic_image': '1904.192.9.?', 'conductor': 489566, 'lmfdb_label': '489566.x1', 'prime': 0}
  • id: 1620097
    {'conductor': 489566, 'elladic_image': '16.48.1.35', 'lmfdb_label': '489566.x1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 489566.x does not appear in ec_padic