论文标题
在立方数场（III）上的椭圆曲线的循环扭转（III）
On the cyclic torsion of elliptic curves over cubic number fields (III)
论文作者
论文摘要
这是一系列论文的第三部分，讨论了立方数字字段上椭圆曲线的环状扭转亚组。对于$ n = 39 $，我们表明$ \ mathbb {z}/n \ mathbb {z} $不是$ e（k）_ {tor} $的子组，用于任何椭圆曲线$ e $ to Cubic number $ k $。
This is the third part of a series of papers discussing the cyclic torsion subgroup of elliptic curves over cubic number fields. For $N=39$, we show that $\mathbb{Z}/N\mathbb{Z}$ is not a subgroup of $E(K)_{tor}$ for any elliptic curve $E$ over a cubic number field $K$.
