Výsledky vyhledávání - "Gužvić Tomislav"

Akademický článek

Torsion subgroups of rational Mordell curves over some families of number fields

Publikováno v: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 125-132 (2022)

Mordell curves over a number field K are elliptic curves of the form y2 = x3 + c, where c ∈ K \ {0}. Let p ≥ 5 be a prime number, K a number field such that [K : ℚ] ∈ {2p, 3p}. We classify all the possible torsion subgroups E(K)tors for all M

Externí odkaz: https://doaj.org/article/30c7ddb1fef2407dbd128183b8ed5b76

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

Autor: Gužvić, Tomislav, Vukorepa, Borna

Let $E/\mathbb{Q}$ be an elliptic curve and $p \in \{5,7,11 \}$ be a prime. We determine the possibilities for $E(\mathbb{Q}(\zeta_{p}))_{tors}$. Additionally, we determine all the possibilities for $E(\mathbb{Q}(\zeta_{16}))_{tors}$ and $E(\mathbb{Q

Externí odkaz: http://arxiv.org/abs/2206.15208

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Torsion groups of Mordell curves over number fields of higher degree

Autor: Gužvić, Tomislav, Roy, Bidisha

Mordell curves over a number field $K$ are elliptic curves of the form $ y^2 = x^3 + c$, where $c \in K \setminus \{ 0 \}$. Let $p \geq 5$ be a prime number, $K$ a number field such that $[K:\mathbb{Q}] \in \{ 2p, 3p \}$ and let $E$ be a Mordell curv

Externí odkaz: http://arxiv.org/abs/2105.04954

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Torsion groups of elliptic curves over some infinite abelian extensions of $\mathbb{Q}$

Autor: Gužvić, Tomislav, Krijan, Ivan

We determine, for an elliptic curve $E/\mathbb{Q}$, all the possible torsion groups $E(K)_{tors}$, where $K$ is the compositum of all $\mathbb{Z}_{p}$-extensions of $\mathbb{Q}$. Furthermore, we prove that for an elliptic curve $E/\mathbb{Q}$ it hold

Externí odkaz: http://arxiv.org/abs/2003.08308

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

Autor: Gužvić, Tomislav

Let $[K:\mathbb{Q}]=p$ be a prime number and let $E/K$ be an elliptic curve with $j(E) \in \mathbb{Q}$. We determine the all possibilities for $E(K)_{tors}$. We obtain these results by studying Galois representations of $E$ and of it's quadratic twis

Externí odkaz: http://arxiv.org/abs/1912.04037

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Torsion growth of rational elliptic curves in sextic number fields

Autor: Gužvić, Tomislav

We classify the possible torsion structures of rational elliptic curves over sextic number fields.
Comment: 12 pages, Magma code is contained in ancillary file. arXiv admin note: text overlap with arXiv:1609.02515 by other authors

Externí odkaz: http://arxiv.org/abs/1910.01561

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