18 citations · 37 across the 3 of their papers we have counts for
3 papers
math.NT2011★ 18 cited
Ranks of elliptic curves with prescribed torsion over number fields
Johan Bosman, Peter Bruin, Andrej Dujella +1
We study the structure of the Mordell--Weil group of elliptic curves over number fields of degree 2, 3, and 4. We show that if is a group, then either the class of all elliptic…
math.NT2011★ 4 cited
Modular forms applied to the computational inverse Galois problem
Johan Bosman
For each of the groups PSL2(F25), PSL2(F32), PSL2(F49), PGL2(F25), and PGL2(F27), we display the first explicitly known polynomials over Q having that group as Galois group. Each p…
math.NT2007★ 15 cited
On the computation of Galois representations associated to level one modular forms
Johan Bosman
In this paper we explicitly compute mod-l Galois representations associated to modular forms. To be precise, we look at cases with l<=23 and the modular forms considered will be cu…