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

657, 854, 1020, 1122, 1241, 1267, 1330, 1339, 1426, 1482, 1554, 1798, 1853, 1892, 2015, 2310, 2346, 2574, 2763, 2771, 2805, 2869, 2914, 2947, 2977, 3036, 3383, 3445, 3465, 3526, 3894, 3913, 4002, 4209, 4290, 4362, 4706, 4711, 4830, 4921, 4930, 4977, 5025, 5053, 5074, 5193, 5256

Offset: 1

Author

Seiichi Manyama, Aug 25 2019

Keywords

• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Subsequence of A159843.

Cf. A060748, A060838, A309960 (rank 0), A309961 (rank 1), A309962 (rank 2), A309964 (rank 4).

Programs

PARI

for(k=1, 5e3, if(ellanalyticrank(ellinit([0, 0, 0, 0, -432*k^2]))[1]==3, print1(k", ")))

Formula

A060838(a(n)) = 3.