Torsion of elliptic curves with rational $j$-invariant over the maximal elementary abelian 2-extension of $\mathbb{Q}$
Abstract
In this paper, we classify the possible torsion subgroup structures of elliptic curves defined over the compositum of all quadratic extensions of the rational number field, whose $j$-invariant is a rational number not equal to 0 or 1728.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Cryptography and Residue Arithmetic
Advanced Numerical Analysis Techniques
Publication details
- Journal / source
- Tohoku Mathematical Journal
- Volume
- 78
- Issue
- 2
- Publication date
- 1 June 2026
- Language
- EN