Elliptic curve data - 279864.bx4

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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': '279864bx', 'Clabel': '279864bx3', 'Cnumber': 3, 'abc_quality': 0.9866077545749458, 'absD': 44042350767166282752, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7176, 'ainvs': [0, 0, 0, 376701, 306644078], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 279864, 'degree': 7077888, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4508518569136811681410030545', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2, 4], 'jinv': [1640689628, 12223143], 'lmfdb_iso': '279864.bx', 'lmfdb_label': '279864.bx4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 248, -5252], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '46.6.0.a.1', '92.12.0.?', '104.12.0.?', '156.12.0.?', '312.24.0.?', '552.24.0.?', '2392.24.0.?', '3588.24.0.?', '7176.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6716794496792846147987528814', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 34983], [3, 2, 31096], [13, 86, 1656], [23, 24, 12168]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.041448383382236863235609947375', 'prec': 107}, 'szpiro_ratio': 4.194330602678985, '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, 0, 0, 0, 2, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 2, 4, -4, 0, 2, 0, -1, 2, 0, 10, -6, 8, -8, 6, -4, 14, -8, -8, 6, 12, -12, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 279864, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '279864.bx', 'trace_hash': 2143169503052132044}
• 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': '0.0074339070256227997307083940168', 'prec': 110}, 'conductor': 279864, 'gens': [[-92599, 13223405, 14]], 'heights': [{'__RealLiteral__': 0, 'data': '9.6716794496792846147987528814', 'prec': 100}], 'lmfdb_label': '279864.bx4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14759678074876563719077945677', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.420070009653245341535304120512001744', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-494, 0, 1]], 'xcoord_integral_points': [-494]}
• lmfdb_label 279864.bx4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11920533
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '279864.bx4', 'torsion': [4]}
  • id: 11920532
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '279864.bx4', 'torsion': [2, 2]}
  • id: 11920534
    {'degree': 2, 'field': [897, 0, 1], 'lmfdb_label': '279864.bx4', 'torsion': [4]}
  • id: 11920535
    {'degree': 4, 'field': [1986, 66, -65, -2, 1], 'lmfdb_label': '279864.bx4', 'torsion': [2, 4]}
  • id: 11920539
    {'degree': 8, 'field': [-11651, -7594, -4110, -914, -20, -32, 18, -4, 1], 'lmfdb_label': '279864.bx4', 'torsion': [6]}
  • id: 11920537
    {'degree': 8, 'field': [-108, 396, 142, -214, 53, 14, -4, -4, 1], 'lmfdb_label': '279864.bx4', 'torsion': [8]}
  • id: 11920536
    {'degree': 8, 'field': [33276, 6672, -5888, -1608, 905, -124, 46, -4, 1], 'lmfdb_label': '279864.bx4', 'torsion': [2, 4]}
  • id: 11920538
    {'degree': 8, 'field': [271441, 0, 54144, 0, 4142, 0, 144, 0, 1], 'lmfdb_label': '279864.bx4', 'torsion': [8]}
  • id: 11920541
    {'degree': 16, 'field': [1218816, 0, 644736, 0, 191524, 0, 57912, 0, 921, 0, -896, 0, 354, 0, -24, 0, 1], 'lmfdb_label': '279864.bx4', 'torsion': [2, 8]}
  • id: 11920544
    {'degree': 16, 'field': [34147044, -51677448, 91850344, -72312192, 49476260, -20076952, 7336092, -1401496, 176372, 45172, -28212, 5464, -1304, 32, 16, -4, 1], 'lmfdb_label': '279864.bx4', 'torsion': [12]}
  • id: 11920540
    {'degree': 16, 'field': [46594276, 0, -54132520, 0, 46062656, 0, -7406124, 0, 795653, 0, -51984, 0, 2474, 0, -76, 0, 1], 'lmfdb_label': '279864.bx4', 'torsion': [4, 4]}
  • id: 11920543
    {'degree': 16, 'field': [986057398, -28516, 176084142, -100444534, -6069668, -12562038, 2382234, 916416, 354351, 58524, -7542, -780, -764, -52, 18, -4, 1], 'lmfdb_label': '279864.bx4', 'torsion': [2, 6]}
  • id: 11920545
    {'degree': 16, 'field': [2565761389, -661035916, -358502602, 346876412, -82333888, -11717844, 16539958, -5550504, 1063554, -81108, -8990, 4644, -832, 52, 26, -8, 1], 'lmfdb_label': '279864.bx4', 'torsion': [12]}
  • id: 11920542
    {'degree': 16, 'field': [73680216481, 0, -14696901504, 0, 1807264114, 0, -146089440, 0, 9087987, 0, -488160, 0, 16594, 0, -144, 0, 1], 'lmfdb_label': '279864.bx4', 'torsion': [2, 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: 6932845
    {'conductor': 279864, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '279864.bx4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6932846
    {'conductor': 279864, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '279864.bx4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6932847
    {'conductor': 279864, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '279864.bx4', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6932848
    {'conductor': 279864, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '279864.bx4', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 3430174
    {'adelic_gens': [[1103, 0, 0, 7175], [3251, 3796, 4394, 4629], [1, 0, 8, 1], [4783, 5512, 364, 519], [7, 6, 7170, 7171], [2419, 2418, 4498, 3667], [2432, 3315, 4901, 1106], [7169, 8, 7168, 9], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '7176.48.0.?', 'conductor': 279864, 'lmfdb_label': '279864.bx4', 'prime': 0}
  • id: 996095
    {'conductor': 279864, 'elladic_image': '4.6.0.1', 'lmfdb_label': '279864.bx4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 279864.bx does not appear in ec_padic