  We present, for the first time, a detailed abundance analysis of the carbon
star HE 1104$-$0957 based on high resolution (R${\sim}$ 50\,000) spectra. Our
analysis shows that the object is an extremely metal-poor star with [Fe/H]
$\sim$ $-$2.96. We find that the object shows enhancement of carbon with [C/Fe]
$\sim$ 1.82. However, it does not fall into any of the sub-groups of
carbon-enhanced metal-poor (CEMP) stars based on the characteristic elemental
abundance ratios used for the classification of various CEMP sub-groups. HE
1104$-$0957 is also found to exhibit an enhancement of oxygen and nitrogen with
[O/Fe], and [N/Fe] $\sim$ 1.54, and 2.54 respectively. In HE 1104$-$0957,
$\alpha$-elements are found to be slightly enhanced with [$\alpha$/Fe] $\sim$
0.46. Fe-peak elements are also moderately enhanced in HE 1104$-$0957 with a
value 0.63 with respect to Fe. Our analysis shows that HE 1104$-$0957 exhibits
enhancement of neutron-capture elements, particularly r-process elements. The
low-resolution spectra of this object shows the spectral features
characteristics of a typical C-R star. However, We find that the surface
chemical compositions of this object is contradictory to that expected for a
C-R star. It requires a detailed analysis to better understand the abundance
anomalies exhibited by this object.
