Multiples of integral points on elliptic curves
| dc.creator | Ingram, Patrick | |
| dc.date | 2008-02-19 | |
| dc.date | 2008-08-14 | |
| dc.date.accessioned | 2026-07-07T09:56:35Z | |
| dc.date.available | 2026-07-07T09:56:35Z | |
| dc.description | If $E$ is a minimal elliptic curve defined over $\ZZ$, we obtain a bound $C$, depending only on the global Tamagawa number of $E$, such that for any point $P\in E(\QQ)$, $nP$ is integral for at most one value of $n>C$. As a corollary, we show that if $E/\QQ$ is a fixed elliptic curve, then for all twists $E'$ of $E$ of sufficient height, and all torsion-free, rank-one subgroups $Γ\subseteq E'(\QQ)$, $Γ$ contains at most 6 integral points. Explicit computations for congruent number curves are included. | |
| dc.description | Revised version, correcting a significant error | |
| dc.identifier | https://arxiv.org/abs/0802.2651 | |
| dc.identifier | http://arxiv.org/abs/0802.2651 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167028 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05, 11K60 | |
| dc.title | Multiples of integral points on elliptic curves | |
| dc.type | text |