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We study the image of the $\ell$-adic Galois representations associated tothe four vector valued Siegel modular forms appearing in the work of Chenevierand Lannes. These representations are symplectic of dimension $4$. Following amethod of Dieulefait, we determine the primes $\ell$ for which theserepresentations are absolutely irreducible. In addition, we show that theirimage is "full" for all primes $\ell$ such that the associated residualrepresentation is absolutely irreducible, except in two cases.

Images de repr\'esentations galoisiennes associ\'ees \`a certaines formes modulaires de Siegel de genre $2$