Irreduzible Komponenten von 2-adischen Deformationsr\"aumen

We prove that the irreducible components of the space of framed deformations of a $2$-dimensional mod $2$ representation with scalar semi-simplification of the absolute Galois group of ${\mathbb{Q}}_2$ are in natural bijection with those of its determinant, confirming a conjecture of B"ockle–Juschka