\in {\mathbb C}^{*}={\mathbb C}-\{0\}$ given by $$K_{\alpha}=(-\mu_{s-2,2})^{\alpha_{1}} (\mu_{s-2,2}-1)^{\alpha_{2}}(\mu_{s-2,2}-\lambda)^{\alpha_{2}} (\mu_{s-2,2}-\mu_{s-2,1})^{\alpha_{s}} \prod_{k=1}^{s-3} (\mu_{s-2,2}-\mu_{k,1})^{\alpha_{k+2}}(\mu_{s-2,\mu_{k,2}}-\lambda)^{\alpha_{k+2}}.$$

If $X \subset {\mathbb C}^{2^{s-1}}$ is the affine curve defined by the following $2^{s-1}-1$ equations $$\left\{ \begin{array}{c}
w_{\alpha}^{2}=K_{\alpha} z^{\alpha_{1}}(z-\eta_{0})^{\alpha_{1}}
(z-\eta_{1})^{\alpha_{2}}(z-\eta_{2})^{\alpha_{2}}(z-\eta_{3})^{\alpha_{s}}
\prod_{k=1}^{s-3}(z-\eta_{k,1})^{\alpha_{k+2}} (z-\eta_{k,2})^{\alpha_{k+2}},\\ 
\alpha=(\alpha_{1},\ldots,\alpha_{s}) \in V_{s}.\\
\end{array}
\right\},$$ then $X$ defines a closed Riemann surface $S$ of genus $g=1+2^{s-2}(s-2)$ whose jacobian variety $JS$ is isogenous to the product of the jacobian varieties of the following $\sum_{j=1}^{[s/2]}\binom{s}{2j}$ elliptic/hyperelliptic curves $$C_{i_{1},\ldots,i_{k}}: \nu^{2}=(\upsilon-\rho_{i_{1},1})(\upsilon-\rho_{i_{1},2})\cdots(\upsilon-\rho_{i_{k},1})(\upsilon-\rho_{i_{k},2}),$$ where $2 \leq k \leq s$ is even, the tuples $(i_{1},\ldots,i_{k})$ satisfy $$1\leq  i_{1} < i_{2} < \cdots < i_{k} \leq s,$$ and $$\rho_{i_{j},1}=\left\{\begin{array}{cl}
\infty, & i_{j}=1\\
1, & i_{j}=2\\
\mu_{r-2,1}, & i_{j}=r \geq 3
\end{array}
\right. \quad 
\rho_{i_{j},2}=\left\{\begin{array}{cl}
0, & i_{j}=1\\
\lambda, & i_{j}=2\\
\mu_{r-2,2}, & i_{j}=r\geq 3
\end{array}
\right.$$ In the case that $\rho_{i_{j},1}=\infty$, then the factor $(u-\rho_{i_{j},1})$ is deleted from the above expression.

1.  The above provides a $(2s-3)$-dimensional family of closed Riemann surfaces of genus $g=1+2^{s-2}(s-2)$.

2.  The Riemann surface $S$ constructed in Theorem \[construccion\] has the following properties.

    1.  $JS$ contains at least $s(s-1)/2$ elliptic curves in its isogenous decomposition.

    2.  Some of the elliptic curves factors of $JS$ are $$\begin{array}{ll}
        E_{1}: & y^{2}=x(x-1)(x-\lambda)\\
        E_{2}: & y^{2}=(x-1)(x-\lambda)(x-\mu_{1,1})(x-\mu_{1,2})\\
        E_{3}: & y^{2}=(x-\mu_{1,1})(x-\mu_{1,2})(x-\mu_{2,1})(x-\mu_{2,2})\\
        E_{4}: & y^{2}=(x-\mu_{2,1})(x-\mu_{2,2})(x-\mu_{3,1})(x-\mu_{3,2})\\
        &\vdots\\
        E_{s-1}: 