Isogenous elliptic subcovers of genus two curves
| dc.contributor.author | Beshaj, Lubjana | |
| dc.contributor.author | Elezi, Artur | |
| dc.contributor.author | Shaska, Tony | |
| dc.date.accessioned | 2017-11-13T19:29:25Z | |
| dc.date.available | 2017-11-13T19:29:25Z | |
| dc.date.issued | 2017-11-02 | |
| dc.description.abstract | We prove that for $N=2,3, 5, 7$ there are only finitely many genus two curves $\X$ (up to isomorphism) defined over $\Q$ with $(2, 2)$-split Jacobian and $\Aut (\X)\iso V_4$, such that their elliptic subcovers are $N$-isogenous. Also, there are only finitely many genus two curves $\X$ (up to isomorphism) defined over $\Q$ with $(3, 3)$-split Jacobian such that their elliptic subcovers are $5$-isogenous. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10323/4599 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Isogeny | en_US |
| dc.subject | Cryptography | en_US |
| dc.title | Isogenous elliptic subcovers of genus two curves | en_US |
| dc.type | Article | en_US |