using ECCurve.FP for a supersingular curve

Hi,

I'm trying to figure out how to use  BC ECCurve.FP  to construct a supersingular elliptic curve over F_p

The definition of the curve is a follows:

An elliptic curve defined over F_p, having a subgroup of order
q. with equation y^2 = x^3 - 3 * x modulo p

The parameters of curve are provided as well including p, q, Px, Py and g

I tried doing something like this:
ECCurve curve = new ECCurve.Fp(p, ECConstants.THREE.negate(), ECConstants.ZERO, q, ECConstants.ONE);

However the negative coefficient is causing an exception to be thrown.
Caused by: java.lang.IllegalArgumentException: x value invalid in Fp field element
             at org.bouncycastle.math.ec.ECFieldElement$Fp.<init>(Unknown Source)
             at org.bouncycastle.math.ec.ECCurve$Fp.fromBigInteger(Unknown Source)
             at org.bouncycastle.math.ec.ECCurve$Fp.<init>(Unknown Source)

So there are two questions.

  1.  is it possible to create this curve with Bouncy Castle?
  2.  If so, any guidance would be appreciated


I'm using Bouncy Castle version 1.61

Thanks