I'd like to use a curve that's not included in the Bouncy Castle EC named curves spec, specifically E-521.

According to the BC javadocs, you need a few values in order to do this: q, a, and b for the curve, then G and n for the parameter spec.

import org.bouncycastle.math.ec.ECCurve;
import org.bouncycastle.jce.spec.ECParameterSpec;
...
ECCurve curve = new ECCurve.Fp(
            new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q
            new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
            new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16)); // b
ECParameterSpec ecSpec = new ECParameterSpec(
            curve,
            curve.decodePoint(Hex.decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G
            new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307")); // n
KeyPairGenerator g = KeyPairGenerator.getInstance("ECDSA", "BC");
g.initialize(ecSpec, new SecureRandom());
KeyPair pair = g.generateKeyPair();

I think q is the field.

Would a and b be base points?

What should be used for G and n?