Elliptic curve data - 169280.cb2

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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': '169280z', 'Clabel': '169280z2', 'Cnumber': 2, 'abc_quality': 1.147813072895248, 'absD': 851206361750000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 552, 'ainvs': [0, 1, 0, 875319, -1367563825], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 169280, 'degree': 7299072, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6970461983461691834503404869', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 53, 'isogeny_degrees': [1, 3], 'jinv': [489277573376, 5615234375], 'lmfdb_iso': '169280.cb', 'lmfdb_label': '169280.cb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 414, -13915], 'min_quad_twist_disc': 184, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.7', '46.2.0.a.1', '138.8.0.?', '552.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6672004810023015640892716303', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 529], [3, 2, 33856], [5, 6, 33856], [23, 288, 320]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.55167643991497324686593730311', 'prec': 103}, 'szpiro_ratio': 4.617886603771563, '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, 0, 1, 0, -1, 0, -4, 0, -2, 0, 6, 0, 1, 0, -1, 0, 0, 0, -2, 0], 'aplist': [0, 1, -1, -4, 6, 1, 0, -2, 0, -9, -5, 2, -9, 4, 3, -6, 0, 2, 10, 3, -7, -10, 12, 0, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 169280, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '169280.cb', 'trace_hash': 563345876818646776}
• 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': '0.0045433420803918324620918848410', 'prec': 110}, 'conductor': 169280, 'gens': [[622834, 503706923, 15]], 'heights': [{'__RealLiteral__': 0, 'data': '9.6672004810023015640892716303', 'prec': 100}], 'lmfdb_label': '169280.cb2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.077848496602667037824498223364', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0206161904208706179521512115907730653', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 169280.cb2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7530929
    {'degree': 2, 'field': [138, 0, 1], 'lmfdb_label': '169280.cb2', 'torsion': [3]}
  • id: 7530930
    {'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '169280.cb2', 'torsion': [2]}
  • id: 7530932
    {'degree': 6, 'field': [-46, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '169280.cb2', 'torsion': [3]}
  • id: 7530931
    {'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '169280.cb2', 'torsion': [2, 2]}
  • id: 7530933
    {'degree': 6, 'field': [4968, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '169280.cb2', 'torsion': [6]}
  • id: 7530934
    {'degree': 12, 'field': [-23, 0, 66, 0, -82, 0, 40, 0, 1, 0, 2, 0, 1], 'lmfdb_label': '169280.cb2', 'torsion': [4]}
  • id: 7530935
    {'degree': 12, 'field': [2025, 270, 711, -1890, 780, 150, 49, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '169280.cb2', 'torsion': [3, 3]}
  • id: 7530936
    {'degree': 12, 'field': [63043, 44850, -28397, -29320, 6155, 8950, -985, -1526, 155, 140, -17, -6, 1], 'lmfdb_label': '169280.cb2', 'torsion': [2, 6]}
  • id: 7530938
    {'degree': 18, 'field': [-97336, 0, 0, 0, 0, 0, 10580, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '169280.cb2', 'torsion': [6]}
  • id: 7530937
    {'degree': 18, 'field': [3861805800, 0, 58430800800, 0, 664881775440, 0, 443425646344, 0, 13020344712, 0, 458103420, 0, 6659650, 0, 95220, 0, 552, 0, 1], 'lmfdb_label': '169280.cb2', '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: 4188733
    {'conductor': 169280, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '169280.cb2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4188734
    {'conductor': 169280, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '169280.cb2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4188735
    {'conductor': 169280, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '169280.cb2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2756493
    {'adelic_gens': [[4, 3, 9, 7], [139, 0, 0, 1], [133, 6, 132, 7], [455, 546, 537, 533], [275, 0, 0, 551], [26, 117, 79, 7], [1, 6, 0, 1], [3, 4, 8, 11], [547, 6, 546, 7], [1, 0, 6, 1]], 'adelic_image': '552.16.0.?', 'conductor': 169280, 'lmfdb_label': '169280.cb2', 'prime': 0}
  • id: 639824
    {'conductor': 169280, 'elladic_image': '3.4.0.1', 'lmfdb_label': '169280.cb2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 169280.cb does not appear in ec_padic