Suppose I have a hyperelliptic curve of genus $2$ over $\mathbb Q$. I want to get information about its Jacobian reduction at prime $p$ (for example, in case $p=2$). Also I'm interesting in the group of connected components of the Neron model of the Jacobian.

Is it possible to get such information using some computer algebra system (like Magma, Sage and etc)? I know that there is Sage function genus2reduction, but it don't give enough information about reduction at $p=2$. So I'm looking for other solution.