The infant was discovered by the woman's ex-boyfriend on Tuesday while he was packing his things to move out of the home they shared. He claims to have known nothing about the pregnancy.
Due to the frozen condition of the body, an autopsy cannot be performed until Thursday.
A speaker for the public prosecutor's office said the woman gave birth to the baby at home after authorities had recently discovered the 37-year-old Russian was living in Germany illegally. As a result, she didn't seek help for the newborn.
Thüringia's Social Minister Christine Lieberknecht called the discovery a “grizzly and terrible crime” that showed that no matter how much state help is available for a newborn babies, sometimes it's never enough.
Two years ago, Erfurt had a similar case when a woman confessed to killing her newborn daughter in 2002 and her son two years later. That mother put both children in garbage bags and kept them in the freezer as well. She is serving a 12-year prison sentence after being convicted of double homicide.