2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162246Consider genus g curves that admit degree d covers to an elliptic curve simply branched at 2g-2 points. Vary a branch point and the locus of such covers forms a one-parameter family W. We investigate the geometry of W by using admissible covers to study its slope, genus and components. The results can also be applied to study slopes of effective divisors on the moduli space of genus g curves.21 pages, 11 figures. This is a sequel of arXiv:0704.3994. Comments are welcomeAlgebraic GeometryCombinatorics14H10; 14H30; 05E15text