ECDSA as an important digital signature algorithm plays a key role in ensuring the security of crypto assets and internet communications. It leverages the mathematical properties of elliptic curves to provide efficient and secure signature verification, significantly outperforming traditional RSA. Especially in blockchain and fintech sectors, the application of ECDSA is ubiquitous. However, with the rise of quantum computing, the cryptography community is actively researching post-quantum cryptography to address potential threats. Mastering the basics of ECDSA has become essential knowledge for understanding the digital economy.