Timeline for Elliptic Curves isogenous only over an extension?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 15, 2013 at 21:25 | vote | accept | Barinder Banwait | ||
| Jul 10, 2013 at 0:04 | comment | added | v08ltu | Or if you want to think in terms of $L$-series equality, here $a_p(E)=\chi_d(p) a_p(E')$ for all primes $p$ with the (nonsquare) twisting factor $d$, and $a_p=0$ for primes that are inert in $K$, and over $K$ one has $a_{\frak p}(E)=\chi_d(p)a_{\overline{\frak p}}(E)$ and similarly for $E'$, so $\{a_{\frak p}(E),a_{\overline{\frak p}}(E)\}=\{a_{\frak p}(E'),a_{\overline{\frak p}}(E')\}$. | |
| Jul 9, 2013 at 15:54 | history | answered | Felipe Voloch | CC BY-SA 3.0 |