If elliptic curves seem tricky, you can follow the same idea with conics https://arxiv.org/pdf/math/0311306.pdf https://arxiv.org/pdf/math/0311306.pdf https://w

If elliptic curves seem tricky, you can follow the same idea with conics https://arxiv.org/pdf/math/0311306.pdf https://arxiv.org/pdf/math/0311306.pdf https://www.researchgate.net/profile/Shailesh-Shirali/publication/305987450_Groups_associated_with_conics/links/59ed232aa6fdccef8b0dc5ed/Groups-associated-with-conics.pdf https://www.researchgate.net/profile/Shailesh-Shirali/public...