Timeline for Structure of $E(Q_p)$ for elliptic curves with anomalous reduction modulo $p$
Current License: CC BY-SA 3.0
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 19, 2011 at 20:25 | comment | added | Joe Silverman | Thanks, Felipe, and to Álvaro, too. Those are the kind of answers I was looking for, although not quite definitive for $0\to p\mathbb{Z}/p^i\to E(\mathbb{Z}/p^i)\to E(\mathbb{Z}/p)\to 0$ when $i\ge3$. But the relation with the Deuring canonical lift looks useful. Felipe, I did realize that for ECDLP you use a sequence that is non-split, so that when you lift nonzero points to $E(\mathbb{Z}/p^2)$, they will have order $p^2$. | |
| Jul 19, 2011 at 19:20 | history | answered | Felipe Voloch | CC BY-SA 3.0 |