4 papers
Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny
Antonela Trbović
We study Tamagawa numbers of elliptic curves with torsion over cubic fields and of elliptic curves with an isogeny over $…
Splitting of primes in number fields generated by points on some modular curves
Filip Najman, Antonela Trbović
We study the splitting of primes in number fields generated by points on modular curves. Momose was the first to notice that quadratic points on generate quadratic fields…
Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces
Victoria Cantoral-Farfán, Alice Garbagnati, Cecília Salgado +2
We study K3 surfaces over a number field which are double covers of extremal rational elliptic surfaces. We provide a list of all elliptic fibrations on certain K3 surfaces tog…
Torsion groups of elliptic curves over quadratic fields
Antonela Trbović
We prove results towards classifying the possible torsion subgroups of elliptic curves over quadratic fields , where is a square-free integer, and o…