If the tangent to the curve$2{\mathrm{y}}^3={\mathrm{ax}}^2+{\mathrm{x}}^3$ at the point $\left(\mathrm{a}, \mathrm{a}\right)$ cuts off intercepts $\mathrm{\alpha }$ and $\mathrm{\beta }$ on the coordinate axes, where ${\mathrm{\alpha }}^2+{\mathrm{\beta }}^2=61$ then the value of $\left|\mathrm{a}\right|$ is