Finiteness conjecture for L-space knots of bounded genus

Let $N\geq 0$ be an integer, and let $g(K)$ denote the genus of a knot $K$. Finiteness conjecture for bounded genus. There are only finitely many L-space knots $K$ with $g(K)\leq N$. This is a reformulation of the Hedden–Watson conjecture because the genus of an L-space knot is determined by the degree of its Alexander polynomial. The claim is open; for genus two, the source notes that it is expected that the only examples are $T_{5,2}$ and its mirror.