Yep ice cream is just Eis in German, even if the default is Eiscreme meaning at least 10% milkfat content or even Cremeeis meaning 50% milk, no added water, as well as egg. Frozen custard. It's just that noone cares what exactly you're going to order when asking "wanna go eat some ice"?

Fun fact: A felt 99% of ice cream parlours in Germany are called "Venezia" or "Dolomiti" or "Rialto", which is a quarter of Venice. Because that's where the founders were from. It's a fascinating natural phenomenon, flocks of ice cream makers migrating north in early spring and back home late autumn.