Browsing by Author "Beshaj, Lubjana"

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    Isogenous elliptic subcovers of genus two curves
    (2017-11-02) Beshaj, Lubjana; Elezi, Artur; Shaska, Tony
    We prove that for $N=2,3, 5, 7$ there are only finitely many genus two curves $\X$ (up to isomorphism) defined over $\Q$ with $(2, 2)$-split Jacobian and $\Aut (\X)\iso V_4$, such that their elliptic subcovers are $N$-isogenous. Also, there are only finitely many genus two curves $\X$ (up to isomorphism) defined over $\Q$ with $(3, 3)$-split Jacobian such that their elliptic subcovers are $5$-isogenous.
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    Rational points in the moduli space of genus two
    (Contemporary Mathematics, 2018) Shaska, Tony; Beshaj, Lubjana; Hidalgo, Ruben; Kruk, Serge; Malmendier, Andreas; Quispe, Saul
    We build a database of genus 2 curves defined over the field of rationals.