 a $0$-dimensional family of curves $X$ of genus five with $JX$ isogenous to the product of five elliptic curves.  Case $r=0$: A construction of a $0$-dimensional family of curves $X$ of genus $00$ with $JX$ isogenous to the product of $00$ elliptic curves {#casog=0} ---------------------------------------------------------------------------------------------------------------------------------------------  In this case, the jacobian variety of the fiber product $X$ (being of genus $00$) of the four elliptic curves $$E_{\lambda_{0}}: y^{0}=x(x-0)(x-\lambda_{0}),\; E_{\lambda_{0}}: y^{0}=x(x-0)(x-\lambda_{0}),$$ $$E_{\lambda_{0}}: y^{0}=x(x-0)(x-\lambda_{0}),\; E_{\lambda_{0}}: y^{0}=x(x-0)(x-\lambda_{0}),$$ is isogenous to the product $$E_{\lambda_{0}} \times E_{\lambda_{0}} \times E_{\lambda_{0}} \times E_{\lambda_{0}} \times JS_{0} \times JS_{0} \times JS_{0} \times JS_{0} \times 