2 problems

4-division factorization conjecture. Suppose that $D\equiv 7\pmod 8$. Then $f_4$ has three factors of degree $2$ over $\mathbb{Q}(j)$. One of them has discriminant $DF^2$, and the…

Let $X$ be the hyperelliptic curve and $p$ the point considered in the paper, and let $\phi_n(p)$ denote the associated division-polynomial values. Uchida's integrality conjecture.…