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

21691, 27937, 33193, 34706, 36667, 39331, 45353, 46299, 53265, 55298, 55335, 59295, 59690, 62628, 63147, 64001, 65683, 73963, 78604, 82290, 87653, 90489, 94681, 96139

Offset: 1

Author

Seiichi Manyama, Aug 25 2019

Keywords

• nonn

Crossrefs

Subsequence of A159843.

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

Programs

PARI

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

Formula

A060838(a(n)) = 4.

Extensions

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