How safe is ECC?

As an investor in the world of cryptocurrency, I often find myself pondering the safety of various technologies. One particular area of interest is Elliptic Curve Cryptography, or ECC. Can you please elaborate on the level of security offered by ECC? Is it considered a reliable and robust encryption method in the cryptocurrency industry? Additionally, what are some potential vulnerabilities or weaknesses that one should be aware of when using ECC-based systems? Understanding the safety of ECC is crucial for making informed decisions in the dynamic world of cryptocurrency.