It was hard not to sing this question. Usually, snare drums ring too loud when the snares are too loose. To get rid of that ringing, you need to tighten the strings. Again, completely eliminating this ringing makes the snare drum sound too dry, so many drummers (including me) recommend leaving a little of it.
Also, I’d recommend checking how the heads are tuned. As I’ve said, the bottom head should be tuned about 1.5 times lower than the batter one, to minimize the ringing and make the overall sound fuller. But even if you tune the batter head low, try not to exceed the 400 Hz limit for the bottom head.