Elliptic curve data - 254898.ds2

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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': '254898ds', 'Clabel': '254898ds2', 'Cnumber': 2, 'abc_quality': 1.0571702726916339, 'absD': 88652741868909324010198834344, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 8568, 'ainvs': [1, -1, 0, -123883083, -14335112727027], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 254898, 'degree': 358318080, 'elladic_images': ['9.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2336722836984354955779105825', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 96, 'isogeny_degrees': [1, 3], 'jinv': [-101566487155393, 42823570577256], 'lmfdb_iso': '254898.ds', 'lmfdb_label': '254898.ds2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -972, -315144], 'min_quad_twist_disc': 357, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.a.1', '24.24.0-3.a.1.4', '72.72.0.?', '357.24.0.?', '1071.72.0.?', '2856.48.1.?', '8568.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '29.439169016316090087119630723', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2948043928086159572028442834', 'prec': 100}, 'szpiro_ratio': 5.953320407661277, '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, 3, 0, 0, -1, 0, -3, 3, 0, -5, 0, 0, 1, 0, 0, -2, 3], 'aplist': [-1, 0, 3, 0, 3, -5, 0, -2, 6, -6, -4, -11, 12, -1, 12, 9, -12, -10, 5, 0, -7, 1, -15, 9, -19], 'class_deg': 9, 'class_size': 3, 'conductor': 254898, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '254898.ds', 'trace_hash': 1349487985785528099}
• 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': '0.00021022239424541299774400818910', 'prec': 113}, 'conductor': 254898, 'gens': [[9213283849844229, 878659760506934636941710, 250217]], 'heights': [{'__RealLiteral__': 0, 'data': '29.439169016316090087119630723', 'prec': 100}], 'lmfdb_label': '254898.ds2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.015248409863268537225122593233', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.1824082431171806202814088291774342097', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 254898.ds2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10951498
    {'degree': 2, 'field': [-89, -1, 1], 'lmfdb_label': '254898.ds2', 'torsion': [3]}
  • id: 10951499
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '254898.ds2', 'torsion': [3]}
  • id: 10951500
    {'degree': 3, 'field': [-21, 9, -1, 1], 'lmfdb_label': '254898.ds2', 'torsion': [2]}
  • id: 10951501
    {'degree': 4, 'field': [900, -30, -29, -1, 1], 'lmfdb_label': '254898.ds2', 'torsion': [3, 3]}
  • id: 10951503
    {'degree': 6, 'field': [-703325, -26985, 23514, 521, -264, -3, 1], 'lmfdb_label': '254898.ds2', 'torsion': [9]}
  • id: 10951504
    {'degree': 6, 'field': [21, -42, -26, -8, -12, -2, 1], 'lmfdb_label': '254898.ds2', 'torsion': [6]}
  • id: 10951505
    {'degree': 6, 'field': [144, 24, -14, -21, 13, -3, 1], 'lmfdb_label': '254898.ds2', 'torsion': [6]}
  • id: 10951502
    {'degree': 6, 'field': [2478, 1008, 739, -84, 10, 0, 1], 'lmfdb_label': '254898.ds2', 'torsion': [2, 2]}
  • id: 10951506
    {'degree': 12, 'field': [-5023224, -3806280, -3207660, 639024, 660324, 29760, -54032, -7744, 2410, 346, -65, -4, 1], 'lmfdb_label': '254898.ds2', 'torsion': [4]}
  • id: 10951507
    {'degree': 12, 'field': [2304, 0, 7296, 0, 1456, 0, 872, 0, 273, 0, 29, 0, 1], 'lmfdb_label': '254898.ds2', 'torsion': [3, 6]}
  • id: 10951508
    {'degree': 12, 'field': [2601, -10404, 14280, 5304, 6016, 5012, 2722, 436, 80, -8, -8, -4, 1], 'lmfdb_label': '254898.ds2', 'torsion': [2, 6]}
  • id: 10951509
    {'degree': 12, 'field': [48000, 9600, 19180, -4976, 13308, -3436, 2093, -1050, 323, -136, 39, -2, 1], 'lmfdb_label': '254898.ds2', 'torsion': [2, 6]}
  • id: 10951511
    {'degree': 18, 'field': [103041, 1263330, 5866398, 10802688, 6715980, -362430, -1087145, -1076676, 156108, 141700, -6660, -19404, -3381, -126, 486, 76, -24, -6, 1], 'lmfdb_label': '254898.ds2', 'torsion': [18]}
  • id: 10951510
    {'degree': 18, 'field': [19843371, -11167065, 2135205, -2989200, 3913425, -1124097, 51341, -30735, 64203, -39382, 27891, -729, -2868, -1098, 537, 73, -18, -6, 1], 'lmfdb_label': '254898.ds2', 'torsion': [9]}
• 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: 6320254
    {'conductor': 254898, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '254898.ds2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6320255
    {'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '254898.ds2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6320256
    {'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '254898.ds2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6320257
    {'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '254898.ds2', '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: 3280786
    {'adelic_gens': [[1, 18, 0, 1], [4294, 9, 6417, 8560], [1, 9, 9, 82], [10, 9, 4275, 8560], [7334, 8559, 3681, 8], [1, 6, 6, 37], [8551, 18, 8550, 19], [1, 0, 18, 1], [1, 12, 0, 1], [4526, 8559, 7065, 8], [4282, 2133, 6471, 2582]], 'adelic_image': '8568.144.3.?', 'conductor': 254898, 'lmfdb_label': '254898.ds2', 'prime': 0}
  • id: 917802
    {'conductor': 254898, 'elladic_image': '9.36.0.1', 'lmfdb_label': '254898.ds2', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 254898.ds does not appear in ec_padic