Elliptic curve data - 338130.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': '338130bk', 'Clabel': '338130bk1', 'Cnumber': 1, 'abc_quality': 0.957688521048326, 'absD': 866818709537040, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 260, 'ainvs': [1, -1, 0, -455229, -118115307], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 338130, 'degree': 2985984, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9103164000506362349750744020', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1], 'jinv': [-171352638803089, 14236560], 'lmfdb_iso': '338130.bk', 'lmfdb_label': '338130.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -50581, 4374641], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['260.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.91531351429836761112914232796', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41660580769784269586094024425', 'prec': 103}, 'szpiro_ratio': 3.9823011431619473, '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, 0, 1, 1, 0, 0, -1, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 5, 1], 'aplist': [-1, 0, 1, 0, -1, 1, 0, 5, -1, -5, -7, -3, 10, 7, -6, -12, 8, -2, -2, 13, -11, -2, -10, 8, -13], 'class_deg': 1, 'class_size': 1, 'conductor': 338130, 'isogeny_matrix': [[1]], 'lmfdb_iso': '338130.bk', 'trace_hash': 458329514909060998}
• 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': '0.021913929369049213162780348047', 'prec': 107}, 'conductor': 338130, 'gens': [[1254, 35175, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.91531351429836761112914232796', 'prec': 103}], 'lmfdb_label': '338130.bk1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.091898806096676034143668746016', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0563677801084410076063855108291123840', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [], 'xcoord_integral_points': [1033, 1254, 67674]}
• lmfdb_label 338130.bk1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14151243
    {'degree': 3, 'field': [-102, 17, 0, 1], 'lmfdb_label': '338130.bk1', 'torsion': [2]}
  • id: 14151244
    {'degree': 6, 'field': [260, 0, 516, 0, 33, 0, 1], 'lmfdb_label': '338130.bk1', 'torsion': [2, 2]}
  • id: 14151245
    {'degree': 8, 'field': [-432, 0, 0, 0, 72, 0, -1, 0, 1], 'lmfdb_label': '338130.bk1', 'torsion': [3]}
  • id: 14151246
    {'degree': 12, 'field': [-3816780240, 1930865280, 100430020, -106757760, 14245984, 67928, -329990, 98228, 1384, -400, -29, -6, 1], 'lmfdb_label': '338130.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: 8368164
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '338130.bk1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8368165
    {'conductor': 338130, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '338130.bk1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8368166
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '338130.bk1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8368167
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '338130.bk1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8368168
    {'conductor': 338130, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '338130.bk1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• 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': [[157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [41, 2, 41, 3], [131, 2, 131, 3], [259, 2, 258, 3], [1, 1, 259, 0]], 'adelic_image': '260.2.0.?', 'conductor': 338130, 'lmfdb_label': '338130.bk1', 'prime': 0}
• lmfdb_iso 338130.bk does not appear in ec_padic