Determination of simple CM abelian surfaces defined over({mathbb{Q}})

Determination of All Q-Rational CM-Point

Determination of All Q-Rational CM-Points in the Moduli Space of Principally Polarized Abelian Surfaces

✍ Naoki Murabayashi; Atsuki Umegaki 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 77 KB

It is known that in the moduli space A A of elliptic curves, there exist precisely 9 1 ‫-ޑ‬rational points corresponding to the isomorphism class of elliptic curves with complex multiplication by the ring of algebraic integers of a principal imaginary quadratic number field. Here, we prove that in t