Class Groups and Selmer Groups in Special Families

2025/04/21 by Abhishek, Kundu, Debanjana
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2504.15428

Abstract

We explore the relationship between (3-isogeny induced) Selmer group of an elliptic curve and the (3 part of) the ideal class group, over certain non-abelian number fields.

Related

• √(-3)-Selmer groups, ideal class groups and large 3-Selmer ranks
• Fine Selmer Groups and Isogeny Invariance
• Selmer groups of families of elliptic curves with an ℓ-isogeny
• Elliptic curves related to cyclic cubic extensions
• Relative p-class groups and p-Selmer groups