  We study the low-lying energy spectrum of the rp-process waiting point
nucleus 80Zr with state-of-the-art beyond mean field methods with the Gogny D1S
interaction. Symmetry restoration and configuration mixing of axial and
triaxial shapes are included in the calculations. Five 0+ states corresponding
to different nuclear shapes are obtained below 2.25 MeV and several rotational
and {\gamma}- bands built upon them are identified. Nevertheless, these states
do not modify the {\beta}-decay half-life having a negligible effect in the
rp-process. A good agreement with the available experimental data is obtained.
