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A309963 Numbers k for which rank of the elliptic curve y^2 = x^3 - 432*k^2 is 3.

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%I A309963 #17 Jan 26 2023 12:49:49
%S A309963 657,854,1020,1122,1241,1267,1330,1339,1426,1482,1554,1798,1853,1892,
%T A309963 2015,2310,2346,2574,2763,2771,2805,2869,2914,2947,2977,3036,3383,
%U A309963 3445,3465,3526,3894,3913,4002,4209,4290,4362,4706,4711,4830,4921,4930,4977,5025,5053,5074,5193,5256
%N A309963 Numbers k for which rank of the elliptic curve y^2 = x^3 - 432*k^2 is 3.
%H A309963 Charles R Greathouse IV, <a href="/A309963/b309963.txt">Table of n, a(n) for n = 1..10000</a>
%F A309963 A060838(a(n)) = 3.
%o A309963 (PARI) for(k=1, 5e3, if(ellanalyticrank(ellinit([0, 0, 0, 0, -432*k^2]))[1]==3, print1(k", ")))
%Y A309963 Subsequence of A159843.
%Y A309963 Cf. A060748, A060838, A309960 (rank 0), A309961 (rank 1), A309962 (rank 2), A309964 (rank 4).
%K A309963 nonn
%O A309963 1,1
%A A309963 _Seiichi Manyama_, Aug 25 2019