论文标题
非CM椭圆曲线的大多数减少的内态环的绝对判别性差异接近最大
The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal
论文作者
论文摘要
令$ e/\ mathbb {q} $为非CM椭圆曲线。假设GRH，我们证明，对于一组Primes $ p $密度$ 1 $，是$ \ Mathbb {f} _p $ - demormorthism的绝对判别，减少了$ e $ e $ modulo $ p $的范围。
Let $E/\mathbb{Q}$ be a non-CM elliptic curve. Assuming GRH, we prove that, for a set of primes $p$ of density $1$, the absolute discriminant of the $\mathbb{F}_p$-endomorphism ring of the reduction of $E$ modulo $p$ is close to maximal.
