@jimp:
Those are only better if you trust that ECC hasn't been compromised by the NSA, which seems to still be under debate/scrutiny.
Well, if you don't trust the ECC stuff, then you still would want the larger RSA key sizes, since 3072-bit RSA corresponds to AES-128 key strength. If you do trust the ECC stuff, you can get a performance boost at the larger key-equivalent sizes to 192-bit and 256-bit AES (384-bit and 512-bit ECC), since you'd need 7680-bit and 15360-bit RSA respectively. The former is slow, but probably tolerable in many applications; the latter is impractically slow.