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Least k such that the rank of the elliptic curve y^2 = x * (x+1) * (x-k) is n.
3

%I #9 Jul 15 2019 15:38:12

%S 1,6,88,3630

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

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

%Y Cf. A309163.

%K nonn,more

%O 0,2

%A _Seiichi Manyama_, Jul 15 2019