Section: New Results
Number and function fields
The article  written by J. Brau and J. Nathan on “Elliptic curves with 2-torsion contained in the 3-torsion field” has been published. This article study the modular curve of level 6 defined over whose -rational points correspond to -invariants of elliptic curves over for which is a subfield of . The authors characterize the -invariants of elliptic curves with this property by exhibiting an explicit model of . then gives an infinite family of examples of elliptic curves with non-abelian "entanglement fields," which is relevant to the systematic study of correction factors of various conjectural constants for elliptic curves over .