Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.16910 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929728725712896 |
|---|---|
| author | Chnaras, Foivos |
| author_facet | Chnaras, Foivos |
| contents | Fix an elliptic curve $E$ over $\mathbb Q$ of rank $1$. In this paper, we develop an explicit numerical criterion, comparable to Gold's criterion, that determines whether the Iwasawa invariants of the elliptic curve at a good (ordinary or supersingular) prime attain their smallest possible value, i.e. whether $μ_p^\pm(E) +λ^\pm_p(E)=1$ in the supersingular case or $μ_p(E) + λ_p(E)=1$ in the ordinary case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the cyclotomic Iwasawa invariants of elliptic curves of rank one Chnaras, Foivos Number Theory Fix an elliptic curve $E$ over $\mathbb Q$ of rank $1$. In this paper, we develop an explicit numerical criterion, comparable to Gold's criterion, that determines whether the Iwasawa invariants of the elliptic curve at a good (ordinary or supersingular) prime attain their smallest possible value, i.e. whether $μ_p^\pm(E) +λ^\pm_p(E)=1$ in the supersingular case or $μ_p(E) + λ_p(E)=1$ in the ordinary case. |
| title | On the cyclotomic Iwasawa invariants of elliptic curves of rank one |
| topic | Number Theory |
| url | https://arxiv.org/abs/2502.16910 |