Elliptic curve data - 254898.bx1

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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': '254898bx', 'Clabel': '254898bx1', 'Cnumber': 1, 'abc_quality': 1.0498004125880718, 'absD': 258996954851244288, 'adelic_genus': 9, 'adelic_index': 192, 'adelic_level': 1904, 'ainvs': [1, -1, 0, -335022, 70590932], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 254898, 'degree': 3145728, 'elladic_images': ['16.48.1.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0927251977106564983986805861', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2], 'jinv': [9869198625, 614656], 'lmfdb_iso': '254898.bx', 'lmfdb_label': '254898.bx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -760, 7803], 'min_quad_twist_disc': 21, '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': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1037268068312789575988916255', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7497], [3, 6, 28322], [7, 32, 5202], [17, 82, 882]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13783935716510901991400205855', 'prec': 107}, 'szpiro_ratio': 3.9987937759047805, '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, 0, -1, 0, 0, 0, 0, -2, 0, 0, 1, 0, 0, 4, 0], 'aplist': [-1, 0, 0, 0, 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': 254898, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '254898.bx', 'trace_hash': 2024063630322111696}
• 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': '0.015215351473783444926509367103', 'prec': 107}, 'conductor': 254898, 'gens': [[-157, 11001, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1037268068312789575988916255', 'prec': 100}], 'lmfdb_label': '254898.bx1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30550609606557091516534200459', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.2368786085609048100032101897261871755', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[268, -134, 1]], 'xcoord_integral_points': [-157, 268]}
• lmfdb_label 254898.bx1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10950825
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '254898.bx1', 'torsion': [2, 2]}
  • id: 10950827
    {'degree': 4, 'field': [-7497, 0, 0, 0, 1], 'lmfdb_label': '254898.bx1', 'torsion': [2, 4]}
  • id: 10950826
    {'degree': 4, 'field': [1716, 348, 10, -2, 1], 'lmfdb_label': '254898.bx1', 'torsion': [4]}
  • id: 10950829
    {'degree': 8, 'field': [-51659, -11690, 5272, 670, -374, 118, 16, -2, 1], 'lmfdb_label': '254898.bx1', 'torsion': [6]}
  • id: 10950828
    {'degree': 8, 'field': [184041, 74646, 15138, 1728, -833, -184, 2, -2, 1], 'lmfdb_label': '254898.bx1', 'torsion': [4, 4]}
  • id: 10950831
    {'degree': 16, 'field': [-115463, 496370, -635760, 282026, -140558, -25988, 55550, -49578, 24955, -9360, 2334, 398, -582, 210, -10, -8, 1], 'lmfdb_label': '254898.bx1', 'torsion': [2, 8]}
  • id: 10950832
    {'degree': 16, 'field': [251752, 903868, 845798, -74372, 218194, 263350, 44423, -21530, 35724, -18088, 10213, -2828, 1095, -202, 56, -6, 1], 'lmfdb_label': '254898.bx1', 'torsion': [2, 8]}
  • id: 10950833
    {'degree': 16, 'field': [1477792, 1891360, -3380830, -142623, 2288624, -2397058, 2442937, -928527, 204394, -31917, 1069, -470, -175, -45, 8, -4, 1], 'lmfdb_label': '254898.bx1', 'torsion': [2, 6]}
  • id: 10950830
    {'degree': 16, 'field': [32238409441, -905421020, 1396024358, -984021740, 500748452, -15249708, 13041158, -6862500, 1784533, -72588, 41186, -14588, 2492, -56, 28, -8, 1], 'lmfdb_label': '254898.bx1', 'torsion': [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: 6319946
    {'conductor': 254898, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '254898.bx1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6319947
    {'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '254898.bx1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6319948
    {'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '254898.bx1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6319949
    {'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '254898.bx1', '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: 3280707
    {'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': 254898, 'lmfdb_label': '254898.bx1', 'prime': 0}
  • id: 917753
    {'conductor': 254898, 'elladic_image': '16.48.1.35', 'lmfdb_label': '254898.bx1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 254898.bx does not appear in ec_padic