Tomislav Guvzvi'c

activity

20192026

most citedTorsion of elliptic curves with rational

j

-invariant defined over number fields of prime degree

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing math.NTShow all

5 papers · 1 filter

math.NT2026

Completing the classification of torsion subgroups for rational elliptic curves over sextic fields

Nikola Adžaga, Tomislav Gužvić

We complete the classification of torsion subgroups $E (K)_{tors}$ that can occur for an elliptic curve $E / Q$ over a sextic number field $K$ . Previous work determine…

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.NT2021

Torsion groups of Mordell curves over number fields of higher degree

Tomislav Gužvić, Bidisha Roy

Mordell curves over a number field $K$ are elliptic curves of the form $y^{2} = x^{3} + c$ , where $c \in K ∖ {0}$ . Let $p \geq 5$ be a prime number, $K$ a number field suc…

math.NT2020

Torsion groups of elliptic curves over some infinite abelian extensions of $Q$

Tomislav Gužvić, Ivan Krijan

We determine, for an elliptic curve $E / Q$ , all the possible torsion groups $E (K)_{t or s}$ , where $K$ is the compositum of all $Z_{p}$ -extensions of $Q$ . F…

math.NT2019★ 1 cited

Torsion of elliptic curves with rational $j$ -invariant defined over number fields of prime degree

Tomislav Gužvić

Let $[K : Q] = p$ be a prime number and let $E / K$ be an elliptic curve with $j (E) \in Q$ . We determine the all possibilities for $E (K)_{t or s}$ . We obtain these result…

Completing the classification of torsion subgroups for rational elliptic curves over sextic fields

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

Torsion groups of Mordell curves over number fields of higher degree

Torsion groups of elliptic curves over some infinite abelian extensions of Q

Torsion of elliptic curves with rational j-invariant defined over number fields of prime degree

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

Torsion groups of elliptic curves over some infinite abelian extensions of $Q$

Torsion of elliptic curves with rational $j$ -invariant defined over number fields of prime degree