  We extend the work of Cremona, Fisher and Stoll on minimising genus one
curves of degrees 2,3,4,5, to some of the other representations associated to
genus one curves, as studied by Bhargava and Ho. Specifically we describe
algorithms for minimising bidegree (2,2)-forms, 3 x 3 x 3 cubes and 2 x 2 x 2 x
2 hypercubes. We also prove a theorem relating the minimal discriminant to that
of the Jacobian elliptic curve.
