2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70124We show that any two-dimensional odd dihedral representation ρover a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of level N, character εand weight k, where N is the conductor, εis the prime-to-p part of the determinant and k is the so-called minimal weight of ρ. In particular, k=1 if and only if ρis unramified at p. Direct arguments are used in the exceptional cases, where general results on weight and level lowering are not available.11 pages, LaTeXNumber TheoryAlgebraic Geometry11F11, 11F80; 14G35text