### Torsion points on y^2=x^6+1, by Jose' Felipe Voloch

Let C be the curve y^2=x^6+1 of genus 2 over a field of
characteristic zero. Consider C embedded in its Jacobian J
by sending one of the points at infinity on C to the origin of
J. In this brief note we show that the points of C whose
image on J are torsion are precisely the two points at infinity
and the six points with y=0.

Jose' Felipe Voloch <voloch@math.utexas.edu>