Showing math.NTShow all
3 papers · 1 filter
math.NT2026
Counting odd genus curves with a marked rational -torsion point
Elvira Lupoian, Lazar Radicevic
In this paper we count, ordered by naive height, the genus curves over the rationals which admit a monic Weierstrass model of odd degree and whose Jacobian has a marked rationa…
math.NT2022
Capitulation discriminants of genus one curves
Lazar Radicevic
In this paper we study the arithmetic and invariant theory of genus one normal curves embedded in . We generalize the notion of genus one model of degree , int…
math.NT2021
Explicit realization of elements of the Tate-Shafarevich group constructed from Kolyvagin classes
Lazar Radicevic
We consider the Kolyvagin cohomology classes associated to an elliptic curve defined over from a computational point of view. We explain how to go from a model of…