Given an elliptic curve $E$ over $\mathbb{Q}$, I have read somewhere (But I can't remember exactly where) that the Beilinson conjecture asserts that: The rank of the albelian group $K_{2}(E)$ (the second algebraic K-theory ) is equal to the rank of the abelian group of the rational points $E(\mathbb{Q})$. **conjecture:** $\textrm{rk } K_{2}(E)= \textrm{rk } E(\mathbb{Q})$ **Question** What are some evidences of such conjecture ? Is it verified in some known cases ?