Rank distribution in cubic twist families of elliptic curves
Let $a$ be an integer which is not of the form $n^2$ or $-3 n^2$ for $n\in \mathbb {Z}$. Let $E_a$ be the elliptic curve with rational $3$-isogeny defined by $E_a:y^2=x^3+a$, and $K:=\mathbb {Q}(\mu _3)$. Assume that the $3$-Selmer group of $E_a$ over $K$
Authors
- Anwesh Ray (ORCID: https://orcid.org/0000-0001-6946-1559)
- Pratiksha Shingavekar (ORCID: https://orcid.org/0000-0002-6903-2479)
Institutions
- Chennai Mathematical Institute (IN)
Publication Details
- Journal
- Acta Arithmetica
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4064/aa240824-28-11
- Primary Topic
- Vietnamese History and Culture Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00