The accelerated development of the Internet of Things (IoT) has required new ways of implementing sensor networks. An attractive alternative is to use RFID technology as sensor nodes since it does not need batteries. In this context, WISP, which is a programmable RFID tag, generates wide interest. However, a consideration in low-resource device networks is that they are easy targets for cyber-attackers. This is because they are a vulnerable point in the network due to their resource constraints. This is why this work presents a low-power Elliptic Curve architecture implemented in the Igloo Nano FPGA and which complies with the energy constraints to be used with WISP. The results of this work are very important because show that when implementing the "NIST-192"standard at a frequency of 6 MHZ, a power of 4.6 mW and 1.68mJ is achieved.