The math isn't that deep, you need to have some math background though. On the upside, we know tons and tons about elliptical curves where some of the number theory about primes is relatively light (there haven't been many advances in that area) it gives you a degree of confidence in the EC methods. Also, the speed difference is huge, it's much much faster. You can play with the EC code in OpenSSL, it's not too difficult and there are tests in the test suite. I'm not sure where it stands exactly with NSS.
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