Dochula is not a city, but a mountain pass in Thimphu district, en route to Punakha from Thimphu, about 25 km from Thimphu city. It includes a monastery and a complex of 108 stupas built by Ashi Dorji Wangmo Wangchuk, the wife of Jigme Singye Wangchuk, the former Druk Gyalpo. The monastery was built in 2008 to commemorate 100 years of monarchy in Bhutan.
It was at this place that I experienced the minimum temperature. While I did not measure it, I suppose it was below 5o C. I also heard from local people that it snows here in the early morning as temperatures drop below zero.