A309164 - OEIS

%I #12 Jul 15 2019 15:38:04

%S 2,7,31,627,15991

%N Least k such that the rank of the elliptic curve y^2 = x * (x+1) * (x+k) is n.

%H H. Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/ec/eca1/cordr.txt">Tables of Elliptic Curves</a>

%o (PARI) {a(n) = my(k=2); while(ellanalyticrank(ellinit([0, k+1, 0, k, 0]))[1]<>n, k++); k}

%Y Cf. A309162, A309165.

%K nonn,more

%O 0,1

%A _Seiichi Manyama_, Jul 15 2019