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A309964 Numbers k for which rank of the elliptic curve y^2 = x^3 - 432*k^2 is 4. 5

%I #22 Jan 25 2023 00:26:31

%S 21691,27937,33193,34706,36667,39331,45353,46299,53265,55298,55335,

%T 59295,59690,62628,63147,64001,65683,73963,78604,82290,87653,90489,

%U 94681,96139

%N Numbers k for which rank of the elliptic curve y^2 = x^3 - 432*k^2 is 4.

%F A060838(a(n)) = 4.

%o (PARI) for(k=1, 5e4, if(ellanalyticrank(ellinit([0, 0, 0, 0, -432*k^2]))[1]==4, print1(k", ")))

%Y Subsequence of A159843.

%Y Cf. A060748, A060838, A309960 (rank 0), A309961 (rank 1), A309962 (rank 2), A309963 (rank 3).

%K nonn

%O 1,1

%A _Seiichi Manyama_, Aug 25 2019

%E a(18)-a(24) from Maksym Voznyy, Jan 25 2023

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)