Elastic does not provide Filebeat binaries for ARMv7. Luckily, Filebeat can easily be cross-compiled with:
# ----- Instantiate an immutable Go container for cross-compilation ----- #
mkdir build && cd $_
docker run -it --rm -v `pwd`:/build golang:latest /bin/bash
# ----- Inside Go container ----- #
go get github.com/elastic/beats
cd /go/src/github.com/elastic/beats/filebeat/