An English translation of "[Die Klassenkörper der Komplexen Multiplikation][1]" was posted on arXiv by [CheeWhye Chin](https://www.genealogy.math.ndsu.nodak.edu/id.php?id=69510) in 2020: https://arxiv.org/abs/2006.04531

English translation of the proofs of many theorems from "[Die Typen der Multiplikatorenringe elliptischer Funktionenkörper][2]" can be found in
- chapter 14 (eg. Theorem 14.18) of Cox's Primes of the form $x^2+ny^2$ (2nd edition, 2013), 
- chapter 13 of Lang's [Elliptic Functions][3] (2nd edition, 1987), and 
- chapter II (section 4 and 5) of Silverman's [Advanced Topics in the Arithmetic of Elliptic Curves][4] (1st edition, 1994).


  [1]: https://mathscinet.ams.org/mathscinet-getitem?mr=167481
  [2]: https://link.springer.com/article/10.1007/BF02940746
  [3]: https://link.springer.com/book/10.1007/978-1-4612-4752-4
  [4]: https://link.springer.com/book/10.1007/978-1-4612-0851-8