Derivative[1][w][z]^2 == (EllipticTheta[2, 0, q]^2 - w[z]^2 EllipticTheta[3, 0, q]^2) (EllipticTheta[3, 0, q]^2 - w[z]^2 EllipticTheta[2, 0, q]^2) /; w[z] == EllipticTheta[1, z, q]/EllipticTheta[4, z, q]

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2001-10-29