%I
%S 1,0,0,0,2,0,2,1,0,1,0,1,2,1,0,1,1,2,1,0,2,1,1,1,1,1,1,2,0,0,1,1,1,1,
%T 0,0,2,2,0,1,1,1,2,1,1,2,2,1,0,2,0,0,1,2,1,0,1,1,2,2,1,0,2,1,3,1,2,1,
%U 0,0,1,0,2,3,1,0,2,1,1,0,1,1,2,1,1,3,1,0,1,2,0,0,1,2,1,0,1,1,1,1
%N Rank of hyperelliptic curve y^2 = x^5  n.
%C If a(n)=0 number of rational points of hyperelliptic curve is finite and if a(n)<>0 then is infinite. For n when a(n)=0 see A198394.
%o (MAGMA) _<x> := PolynomialRing(Rationals());
%o for n := 1 to 100 do
%o C := HyperellipticCurve(x^5n);
%o J := Jacobian(C);
%o RankBound(J)
%Y Cf. A179406, A179407, A179408.
%K nonn
%O 1,5
%A _Artur Jasinski_, Oct 24 2011
