Elliptic curve data - 189618.bk1

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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': '189618c', 'Clabel': '189618c1', 'Cnumber': 1, 'abc_quality': 0.911939003829149, 'absD': 807691333878, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 88, 'ainvs': [1, 0, 0, -985, -44929], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 189618, 'degree': 406656, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96774944139106736814551698842', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1], 'jinv': [-625422146089, 4779238662], 'lmfdb_iso': '189618.bk', 'lmfdb_label': '189618.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -985, -44929], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['88.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54025788181414457880326908149', 'prec': 103}, 'szpiro_ratio': 2.8754905194093583, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 1, -4, 1, 2, 1, 1, -4, -1, 1, 0, 2, -4, 1, 1, 1, 1, -4], 'aplist': [1, 1, -4, 2, -1, 0, 1, 1, 7, -1, 8, -6, 0, 3, -3, -2, 6, -6, -8, -7, 8, 4, 9, -1, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 189618, 'isogeny_matrix': [[1]], 'lmfdb_iso': '189618.bk', 'trace_hash': 422065661502200737}
• 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': '0.14435223601196222310107569558', 'prec': 103}, 'conductor': 189618, 'gens': [], 'heights': [], 'lmfdb_label': '189618.bk1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.37634585738663422285619883742', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5161502886396106742743860490013531129', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 189618.bk1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8353755
    {'degree': 3, 'field': [-66, 22, -1, 1], 'lmfdb_label': '189618.bk1', 'torsion': [2]}
  • id: 8353756
    {'degree': 6, 'field': [1782, 0, -387, 0, 16, 0, 1], 'lmfdb_label': '189618.bk1', 'torsion': [2, 2]}
  • id: 8353757
    {'degree': 8, 'field': [-218, -4936, 5068, -265, 136, -7, 7, -4, 1], 'lmfdb_label': '189618.bk1', 'torsion': [3]}
  • id: 8353758
    {'degree': 12, 'field': [-2278673644, 755049412, -242478834, 58559176, 7776704, -1997918, -44317, -35932, -2639, -806, 13, 0, 1], 'lmfdb_label': '189618.bk1', 'torsion': [4]}
• 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: 4693846
    {'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '189618.bk1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4693847
    {'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '189618.bk1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4693848
    {'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '189618.bk1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4693849
    {'conductor': 189618, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '189618.bk1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4693850
    {'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '189618.bk1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  {'adelic_gens': [[1, 1, 87, 0], [1, 2, 0, 1], [1, 0, 2, 1], [87, 2, 86, 3], [23, 2, 0, 1], [45, 2, 45, 3], [57, 2, 57, 3]], 'adelic_image': '88.2.0.?', 'conductor': 189618, 'lmfdb_label': '189618.bk1', 'prime': 0}
• lmfdb_iso 189618.bk does not appear in ec_padic