DEGREE 4 COVERINGS OF ELLIPTIC CURVES BY GENUS 2 CURVES
Tony Shaska, G. S. Wijesiri, Stefan Wolf, Lindsey M. Woodland · Albanian Journal of Mathematics · 2008
Genus two curves covering elliptic curves have been the object of study of many articles. For a fixed degree n the subloci of the moduli space M2 of curves having a degree n elliptic subcover has been computed for n=3,5 and discussed in detail for n odd; see [17, 22, 3, 4]. When the degree of the cover is even the case in general has been treated in [16]. In this paper we compute the sublocus of M2 of curves having a degree 4 elliptic subcover.