bio | website | perso.ens-lyon.fr/… |
---|---|---|
location | Lyon | |
age | 35 | |
visits | member for | 4 years, 11 months |
seen | 9 hours ago | |
stats | profile views | 2,568 |
I am a number theorist working at the École normale supérieure de Lyon in France. My research interests are elliptic curves, L-functions and zeta functions, especially the study of their special values (conjectures by Beilinson, Bloch, Kato, Zagier...).
May 15 |
comment |
On a result attributed to W. Ljunggren and T. Nagell
According to the Zentralblatt review of Ljunggren's article, the method is to reduce to a (Pell-)Fermat equation. zbmath.org/?q=an:0028.00901 |
May 10 |
awarded | Nice Question |
May 9 |
comment |
Elliptic curves and supercuspidal representations of conductor $p^2$
Thanks David, I'm indeed using your algorithm to compute the examples in my comment to @GuestPoster above. I will see if I can find more patterns. |
May 9 |
comment |
Elliptic curves and supercuspidal representations of conductor $p^2$
@GuestPoster I've written a Magma code and for $p=11$ it seems to be the case that $\phi$ has order 6, 4, 3, 3 according to whether $v_p(\Delta)$ is 2, 3, 4, 8, so your guess seems right. For $p=5$ I have examples where $(v_p(\Delta),\textrm{ord}(\phi))=(2,3),(2,6),(4,3),(4,6),(8,3),(8,6)$ so $v_p(\Delta)$ seems not sufficient to determine $\phi$. For $p=17$ I have a $(2,3)$-example. If you could elaborate on your comment, this would make a nice answer! |
May 8 |
comment |
Elliptic curves and supercuspidal representations of conductor $p^2$
Thanks Will for your answer. Do you have a reference for determining the Galois representation from the Kodaira type for $p>5$? |
May 8 |
asked | Elliptic curves and supercuspidal representations of conductor $p^2$ |
Jan 27 |
awarded | Nice Question |
Jan 10 |
awarded | Nice Answer |
Dec 20 |
awarded | Nice Answer |
Dec 18 |
awarded | Good Answer |
Sep 30 |
awarded | Explainer |
Jul 2 |
awarded | Curious |
Jun 10 |
awarded | Popular Question |
Jun 2 |
awarded | Yearling |
May 30 |
awarded | Popular Question |
May 30 |
awarded | Nice Question |
Mar 18 |
awarded | Notable Question |
Nov 23 |
awarded | Nice Answer |
Nov 11 |
awarded | Good Answer |
Nov 10 |
revised |
calculate function from its divizor
Updated link |