1 citations · 1 across the 11 of their papers we have counts for
12 papers
On a conjecture of Deines
Mentzelos Melistas
Two elliptic curves defined over are called discriminant twins if they have the same minimal discriminant and the same conductor. Deines, in 2014, conjectured that the…
Small Tamagawa numbers of elliptic curves with isogenies or torsion
Mentzelos Melistas
In this article with study Tamagawa numbers of elliptic curves defined over that have isogenies or torsion points. More precisely, our aim is either to bound the set o…
Low rank specializations of elliptic surfaces
Mentzelos Melistas
Let be a non-isotrivial elliptic curve of rank . A theorem due to Silverman implies that the rank of the specialization is at least …
Reduction types of CM curves
Mentzelos Melistas
We study the reduction properties of low genus curves whose Jacobian has complex multiplication. In the elliptic curve case, we classify the possible Kodaira types of reduction tha…
Universal quadratic forms and Dedekind zeta functions
Vítězslav Kala, Mentzelos Melistas
We study universal quadratic forms over totally real number fields using Dedekind zeta functions. In particular, we prove an explicit upper bound for the rank of universal quadrati…
Torsion and twists of abelian varieties
Mentzelos Melistas
In this article, we investigate the possible torsion subgroups of twists of abelian varieties with good reduction. As an application, we prove a theorem concerning ramified primes…