A309962 Numbers k for which rank of the elliptic curve y^2 = x^3 - 432*k^2 is 2.

19, 30, 37, 65, 86, 91, 110, 124, 126, 127, 132, 152, 153, 163, 182, 183, 201, 203, 209, 210, 217, 218, 219, 240, 246, 254, 271, 273, 282, 296, 309, 335, 342, 345, 348, 370, 379, 390, 397, 399, 407, 420, 433, 435, 436, 446, 453, 462, 468, 469, 477, 497, 498, 506, 513, 520, 523, 554

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), A309963 (rank 3), A309964 (rank 4).

Programs

PARI

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

Formula

A060838(a(n)) = 2.