Borna Vukorepa

activity

20212023

most citedComputing quadratic points on modular curves

X_{0} (N)

7 citations · 9 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2023★ 7 cited

Computing quadratic points on modular curves $X_{0} (N)$

Nikola Adžaga, Timo Keller, Philippe Michaud-Jacobs +3

In this paper we improve on existing methods to compute quadratic points on modular curves and apply them to successfully find all the quadratic points on all modular curves $X_0(N…

math.NT2022

Torsion groups of elliptic curves over $Q (μ_{p^{\infty}})$

Tomislav Gužvić, Borna Vukorepa

Let $E / Q$ be an elliptic curve and $p \in {5, 7, 11}$ be a prime. We determine the possibilities for $E (Q (ζ_{p}))_{t or s}$ . Additionally, we determine all the pos…

math.NT2022★ 2 cited

Isogenies over quadratic fields of elliptic curves with rational $j$ -invariant

Borna Vukorepa

We determine the possible degrees of cyclic isogenies defined over quadratic fields for non-CM elliptic curves with rational $j$ -invariant.

math.NT2021

Quadratic points on bielliptic modular curves

Filip Najman, Borna Vukorepa

Bruin and Najman, Ozman and Siksek, and Box described all the quadratic points on the modular curves of genus $2 \leq g (X_{0} (n)) \leq 5$ . Since all the hyperelliptic curves $X_{0} (n)$ …

Computing quadratic points on modular curves X0​(N)

Torsion groups of elliptic curves over Q(μp∞​)

Isogenies over quadratic fields of elliptic curves with rational j-invariant

Quadratic points on bielliptic modular curves

Computing quadratic points on modular curves $X_{0} (N)$

Torsion groups of elliptic curves over $Q (μ_{p^{\infty}})$

Isogenies over quadratic fields of elliptic curves with rational $j$ -invariant