In this contribution, a 193-bit elliptic curve cryptography coprocessor was implemented on an FPGA board. Optimized algorithms and numerical expressions which had been verified through C program simulation, should be analyzed again with HDL (hardware description language) such as Verilog, so that the verified ones could be modified to be applied directly to hardware implementation. The reason is that the characteristics of C programming language design is intrinsically different from the hardware design structure. The hardware IP which was double-checked in view of hardware structure together with algoritunic verification, was implemented on the Altera CycloneII FPGA device equipped with ARM9 microprocessor core, to a real chip prototype, using Altera embedded system development tool kit. The implemented finite field calculation IPs can be used as library modules as Elliptic Curve Cryptography finite field operations which has more than 193 bit key length.