Kolyvagin derivatives of modular points on elliptic curves
(2020)
Journal Article
Hatton, R. (2021). Kolyvagin derivatives of modular points on elliptic curves. Journal of Number Theory, 229, 405-431. https://doi.org/10.1016/j.jnt.2020.10.014
Let E/Q and A/Q be elliptic curves. We can construct modular points derived from A via the modular parametrisation of E. With certain assumptions we can show that these points are of infinite order and are not divisible by a prime p. In particular, u... Read More about Kolyvagin derivatives of modular points on elliptic curves.