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Isogenous elliptic subcovers of genus two curves
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 ...
Rational points in the moduli space of genus two
(Contemporary Mathematics, 2018)
We build a database of genus 2 curves defined over the field of rationals.