Elliptic curve data - 377520.bo1

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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': '377520bo', 'Clabel': '377520bo3', 'Cnumber': 3, 'abc_quality': 1.0375259015845228, 'absD': 73579022499840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -167519216, 834591814080], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 44236800, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0893582939299776880409028301', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2, 4], 'jinv': [71647584155243142409, 10140000], 'lmfdb_iso': '377520.bo', 'lmfdb_label': '377520.bo1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86529, 9789652], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.s.1', '40.12.0.bb.1', '88.12.0.?', '120.24.0.?', '132.12.0.?', '264.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1972634769708471065926989197', 'prec': 100}, 'szpiro_ratio': 5.328355298820027, '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, -1, 0, -1, 0, 4, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, -1, -1, 4, 0, 1, 2, 4, -8, -2, 8, 2, 6, 12, 0, 10, 0, 10, 4, 16, 6, -8, -4, -14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 377520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '377520.bo', 'trace_hash': 1842895631844317528}
• 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': '0.0020730867727629217422806235964', 'prec': 110}, 'conductor': 377520, 'gens': [], 'heights': [], 'lmfdb_label': '377520.bo1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19760324648288394791884044170', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1616519437261431667014470671879637519', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[7473, 0, 1]], 'xcoord_integral_points': [7473]}
• lmfdb_label 377520.bo1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15643861
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [4]}
  • id: 15643862
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '377520.bo1', 'torsion': [4]}
  • id: 15643860
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [2, 2]}
  • id: 15643863
    {'degree': 4, 'field': [16, 0, -14, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [2, 4]}
  • id: 15643867
    {'degree': 8, 'field': [-2294815, 356542, 35732, -1348, -1268, 14, 34, -4, 1], 'lmfdb_label': '377520.bo1', 'torsion': [6]}
  • id: 15643865
    {'degree': 8, 'field': [201, 1080, -1648, 80, 478, -40, -48, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [8]}
  • id: 15643866
    {'degree': 8, 'field': [12642694, -845134, 987803, -42262, 24553, -602, 245, -2, 1], 'lmfdb_label': '377520.bo1', 'torsion': [8]}
  • id: 15643864
    {'degree': 8, 'field': [16591441, 2596464, 390160, 8736, -7950, -624, 16, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [2, 4]}
  • id: 15643869
    {'degree': 16, 'field': [26896, 0, -697792, 0, 1441088, 0, -965280, 0, 283256, 0, -40080, 0, 2768, 0, -88, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [2, 8]}
  • id: 15643873
    {'degree': 16, 'field': [56057368, 29818264, -30848220, 2507792, -2209684, 714744, 403732, -399464, -75555, 97096, -464, -9216, 626, 392, -36, -8, 1], 'lmfdb_label': '377520.bo1', 'torsion': [12]}
  • id: 15643870
    {'degree': 16, 'field': [2070159001, 0, -175055736, 0, 19739176, 0, 15472344, 0, 1015974, 0, -136104, 0, 5848, 0, -120, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [2, 8]}
  • id: 15643872
    {'degree': 16, 'field': [40943499025, 0, 1714122388, 0, 215376340, 0, -6348804, 0, -610698, 0, -65220, 0, -1100, 0, -44, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [12]}
  • id: 15643868
    {'degree': 16, 'field': [973454543044, -317681649792, 51836848128, 4663558848, 4224509860, -965309904, 101237760, -1255488, 5345493, -919464, 48672, -5616, 4138, -312, 0, 0, 1], 'lmfdb_label': '377520.bo1', 'torsion': [4, 4]}
  • id: 15643871
    {'degree': 16, 'field': [3756497442745, -1601501703812, 57657630684, 32490697848, -19330534176, 3033260652, -1293410324, 120943456, 5924778, 5964, -51108, 11808, -3196, 92, 36, -8, 1], 'lmfdb_label': '377520.bo1', 'torsion': [2, 6]}
• 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: 9340271
    {'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '377520.bo1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9340272
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.bo1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9340273
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '377520.bo1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9340274
    {'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '377520.bo1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9340275
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '377520.bo1', 'prime': 13, 'reduction_type': 1, '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: 4011730
    {'adelic_gens': [[1057, 968, 748, 1233], [824, 517, 341, 912], [1, 0, 8, 1], [408, 473, 187, 1134], [1, 8, 0, 1], [1, 4, 4, 17], [1313, 8, 1312, 9], [1288, 363, 1045, 122], [119, 0, 0, 1319], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 377520, 'lmfdb_label': '377520.bo1', 'prime': 0}
  • id: 1292641
    {'conductor': 377520, 'elladic_image': '4.6.0.1', 'lmfdb_label': '377520.bo1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 377520.bo does not appear in ec_padic