2 citations · 3 across the 4 of their papers we have counts for
8 papers
Sporadic points of odd degree on coming from -curves
Abbey Bourdon, Filip Najman
We say a closed point on a curve is sporadic if there are only finitely many points on of degree at most deg. In the case where is the modular curve ,…
Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields
Filip Najman, George C. Turcas
In this note we prove that for every integer , there exists an explicit constant such that the following holds. Let be a number field of degree , let $q > \m…
Elliptic Curves over Totally Real Cubic Fields are Modular
Maarten Derickx, Filip Najman, Samir Siksek
We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic…
Torsion groups of elliptic curves over the -extensions of
Michael Chou, Harris B. Daniels, Ivan Krijan +1
We determine, for an elliptic curve and for all , all the possible torsion groups , where is the $\mathbb…
Torsion of $\Q$-curves over quadratic fields
Samuel Le Fourn, Filip Najman
We find all the possible torsion groups of $\Q$-curves over quadratic fields and determine which groups appear finitely and which appear infinitely often.
Isogenies of non-CM elliptic curves with rational -invariants over number fields
Filip Najman
We unconditionally determine $I_\Q(d)$, the set of possible prime degrees of cyclic -isogneies of elliptic curves with $\Q$-rational -invariants and without complex multiplic…