Timeline for Example of two p-Ordinary Elliptic Curves congruent to each other
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 6, 2017 at 15:14 | vote | accept | Eins Null | ||
| Dec 6, 2017 at 14:12 | comment | added | Jeremy Rouse | We have $\# E(\mathbb{F}_{\ell}) = \# F(\mathbb{F}_{\ell})$ for almost every $\ell$ if and only if $E$ and $F$ are isogenous. Most of the examples I describe below are cases where $E$ and $F$ are not isogenous, though (including the example for $p = 17$). | |
| Dec 6, 2017 at 1:22 | answer | added | Jeremy Rouse | timeline score: 6 | |
| Dec 6, 2017 at 1:09 | comment | added | Jeremy Rouse | I presume you wanted $\#E(\mathbb{F}_{l}) \equiv \#F(\mathbb{F}_{\ell})$, so I made an edit. | |
| Dec 6, 2017 at 1:08 | history | edited | Jeremy Rouse | CC BY-SA 3.0 |
Replaced one instance of $E$ with $F$.
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| Dec 5, 2017 at 22:16 | history | asked | Eins Null | CC BY-SA 3.0 |