A309147 Least k such that the rank of the elliptic curve y^2 = x^3 + (k^2 + 6*k - 3)*x^2 - 16*k*x is n.

1, 4, 28, 356

Offset

0,2

Links

Table of n, a(n) for n=0..3.

Allan J. MacLeod, Knight's Problem

Prog

(PARI) {a(n) = my(k=1); while(ellanalyticrank(ellinit([0, k^2+6*k-3, 0, -16*k, 0]))[1]<>n, k++); k}

Crossrefs

Cf. A309144, A309146.

Sequence in context: A140425 A193198 A165193 * A217903 A339283 A095288

Adjacent sequences: A309144 A309145 A309146 * A309148 A309149 A309150

Keyword

nonn,more,hard

Author

Seiichi Manyama, Jul 14 2019

Status

approved