n.同源

The concept of isogeny is crucial in the study of elliptic curves.
异构的概念在椭圆曲线的研究中至关重要。
Isogenies can be used to simplify the structure of an elliptic curve.
异构可以用来简化椭圆曲线的结构。
The kernel of an isogeny is a finite group, which is a subgroup of the elliptic curve's group of points.
异构的核是一个有限群，它是椭圆曲线上点群的一个子群。
In cryptography, isogenies play a significant role in the security of certain cryptographic protocols.
在密码学中，异构在某些密码协议的安全性中起着重要作用。
Two elliptic curves are said to be isogenous if there exists an isogeny between them.
两条椭圆曲线如果存在一个异构映射，则称它们是同源的。
The endomorphism ring of an elliptic curve is closely related to its isogenies.
椭圆曲线的自同态环与其异构密切相关。
Isogenies allow for the transformation of one elliptic curve into another while preserving key properties.
异构允许将一个椭圆曲线转换为另一个椭圆曲线，同时保持关键属性不变。
The study of isogenies helps in understanding the arithmetic properties of elliptic curves.
研究异构有助于理解椭圆曲线的算术性质。
The theory of complex multiplication uses isogenies to construct elliptic curves with specific properties.
复数乘法理论利用异构来构建具有特定属性的椭圆曲线。
In the context of algebraic geometry, isogenies provide a way to relate different elliptic curves.
在代数几何的背景下，异构提供了一种将不同的椭圆曲线联系起来的方法。