diff --git a/Dockerfile b/Dockerfile
index 429922682..10a002c9b 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -1,32 +1,31 @@
 ARG BASE=11.5.0-devel-ubuntu20.04
 FROM nvidia/cuda:${BASE}
 
-LABEL maintainer="J.C.Knight@sussex.ac.uk"
-LABEL version="4.8.0"
-LABEL org.opencontainers.image.documentation="https://genn-team.github.io/"
-LABEL org.opencontainers.image.source="https://github.com/genn-team/genn"
-LABEL org.opencontainers.image.title="GeNN Docker image"
-
-# Update APT database and upgrade any outdated packages
+ARG GENN_VER
+LABEL maintainer="J.C.Knight@sussex.ac.uk" \
+    version=${GENN_VER} \
+    org.opencontainers.image.documentation="https://genn-team.github.io/" \
+    org.opencontainers.image.source="https://github.com/genn-team/genn" \
+    org.opencontainers.image.title="GeNN Docker image"
+
+# Update APT database and upgrade any outdated packages and install Python, pip and swig
 RUN apt-get update && \
-    apt-get upgrade -y
-
-# Install Python, pip and swig
-RUN apt-get install -yq --no-install-recommends python3-dev python3-pip swig gosu nano
-
-# Set CUDA environment variable
-ENV CUDA_PATH=/usr/local/cuda
+    apt-get upgrade -y && \
+    apt-get install -yq --no-install-recommends python3-dev python3-pip swig gosu nano
 
-ENV GENN_PATH=/opt/genn
+# Set environment variables
+ENV CUDA_PATH=/usr/local/cuda \
+    GENN_PATH=/opt/genn
 
-# Upgrade pip itself
-RUN pip install --upgrade pip
+# Set python3 to be the default version of python
+RUN update-alternatives --install /usr/bin/python python /usr/bin/python3 1
 
-# Install numpy and jupyter
-RUN pip install numpy jupyter matplotlib
+# Upgrade pip itself and install numpy and jupyter
+RUN python -m pip install --upgrade pip && \
+    python -m pip install numpy jupyter matplotlib
 
 # Copy GeNN into /opt
-COPY  . ${GENN_PATH}
+COPY . ${GENN_PATH}
 
 # Use this as working directory
 WORKDIR ${GENN_PATH}
@@ -34,11 +33,11 @@ WORKDIR ${GENN_PATH}
 # Install GeNN and PyGeNN
 RUN make install -j `lscpu -p | egrep -v '^#' | sort -u -t, -k 2,4 | wc -l`
 RUN make DYNAMIC=1 LIBRARY_DIRECTORY=${GENN_PATH}/pygenn/genn_wrapper/ -j `lscpu -p | egrep -v '^#' | sort -u -t, -k 2,4 | wc -l`
-RUN python3 setup.py develop
-
-# Default command will be to launch bash
-CMD ["/bin/bash"]
+RUN python setup.py develop
 
 # Start entrypoint
 # **NOTE** in 'exec' mode shell arguments aren't expanded so can't use environment variables
 ENTRYPOINT ["/opt/genn/bin/genn-docker-entrypoint.sh"]
+
+# Default command will be to launch bash
+CMD ["/bin/bash"]
diff --git a/Makefile b/Makefile
index b78765262..c9d682bf4 100644
--- a/Makefile
+++ b/Makefile
@@ -70,6 +70,7 @@ clean:
 	@rm -f $(LIBGENN)
 	@rm -f $(BACKEND_LIBS)
 
+GENN_VER := $(shell cat version.txt)
 .PHONY docker-build:
 docker-build:
-	@docker build -t genn:latest .
+	@docker build --build-arg GENN_VER=$(GENN_VER) -t genn:latest .