diff --git a/.travis.yml b/.travis.yml
index aca55aab8..e3da30491 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -30,225 +30,10 @@ extended-test-suite: &extended-test-suite
 
 matrix:
   include:
-    # Main test suite
-    - python: "2.7"
-      env: ACME_SERVER=pebble TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *not-on-master
-
-    # This job is always executed, including on master
-    - python: "2.7"
-      env: TOXENV=py27-cover FYI="py27 tests + code coverage"
-
-    - python: "2.7"
-      env: TOXENV=lint
-      <<: *not-on-master
-    - python: "3.4"
-      env: TOXENV=mypy
-      <<: *not-on-master
-    - python: "3.5"
-      env: TOXENV=mypy
-      <<: *not-on-master
-    - python: "2.7"
-      env: TOXENV='py27-{acme,apache,certbot,dns,nginx}-oldest'
-      sudo: required
-      services: docker
-      <<: *not-on-master
-    - python: "3.4"
-      env: TOXENV=py34
-      sudo: required
-      services: docker
-      <<: *not-on-master
-    - python: "3.7"
-      dist: xenial
-      env: TOXENV=py37
-      sudo: required
-      services: docker
-      <<: *not-on-master
-    - sudo: required
-      env: TOXENV=apache_compat
-      services: docker
-      before_install:
-      addons:
-      <<: *not-on-master
-    - sudo: required
-      env: TOXENV=le_auto_xenial
-      services: docker
-      <<: *not-on-master
-    - python: "2.7"
-      env: TOXENV=apacheconftest-with-pebble
-      sudo: required
-      services: docker
-      <<: *not-on-master
-    - python: "2.7"
-      env: TOXENV=nginxroundtrip
-      <<: *not-on-master
-
-    # Extended test suite on cron jobs and pushes to tested branches other than master
-    - sudo: required
-      env: TOXENV=nginx_compat
-      services: docker
-      before_install:
-      addons:
-      <<: *extended-test-suite
-    - python: "2.7"
-      env:
-        - TOXENV=travis-test-farm-apache2
-        - secure: "f+j/Lj9s1lcuKo5sEFrlRd1kIAMnIJI4z0MTI7QF8jl9Fkmbx7KECGzw31TNgzrOSzxSapHbcueFYvNCLKST+kE/8ogMZBbwqXfEDuKpyF6BY3uYoJn+wPVE5pIb8Hhe08xPte8TTDSMIyHI3EyTfcAKrIreauoArePvh/cRvSw="
-      <<: *extended-test-suite
-    - python: "2.7"
-      env:
-        - TOXENV=travis-test-farm-leauto-upgrades
-        - secure: "f+j/Lj9s1lcuKo5sEFrlRd1kIAMnIJI4z0MTI7QF8jl9Fkmbx7KECGzw31TNgzrOSzxSapHbcueFYvNCLKST+kE/8ogMZBbwqXfEDuKpyF6BY3uYoJn+wPVE5pIb8Hhe08xPte8TTDSMIyHI3EyTfcAKrIreauoArePvh/cRvSw="
-      git:
-        depth: false  # This is needed to have the history to checkout old versions of certbot-auto.
-      <<: *extended-test-suite
-    - python: "2.7"
-      env:
-        - TOXENV=travis-test-farm-certonly-standalone
-        - secure: "f+j/Lj9s1lcuKo5sEFrlRd1kIAMnIJI4z0MTI7QF8jl9Fkmbx7KECGzw31TNgzrOSzxSapHbcueFYvNCLKST+kE/8ogMZBbwqXfEDuKpyF6BY3uYoJn+wPVE5pIb8Hhe08xPte8TTDSMIyHI3EyTfcAKrIreauoArePvh/cRvSw="
-      <<: *extended-test-suite
-    - python: "2.7"
-      env:
-        - TOXENV=travis-test-farm-sdists
-        - secure: "f+j/Lj9s1lcuKo5sEFrlRd1kIAMnIJI4z0MTI7QF8jl9Fkmbx7KECGzw31TNgzrOSzxSapHbcueFYvNCLKST+kE/8ogMZBbwqXfEDuKpyF6BY3uYoJn+wPVE5pIb8Hhe08xPte8TTDSMIyHI3EyTfcAKrIreauoArePvh/cRvSw="
-      <<: *extended-test-suite
     - python: "3.7"
       dist: xenial
       env: TOXENV=py37 CERTBOT_NO_PIN=1
       <<: *extended-test-suite
-    - python: "2.7"
-      env: ACME_SERVER=boulder-v1 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "2.7"
-      env: ACME_SERVER=boulder-v2 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "2.7"
-      env: TOXENV=py27-certbot-oldest
-      <<: *extended-test-suite
-    - python: "2.7"
-      env: TOXENV=py27-nginx-oldest
-      <<: *extended-test-suite
-    - python: "2.7"
-      env: ACME_SERVER=boulder-v1 TOXENV=integration-certbot-oldest
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "2.7"
-      env: ACME_SERVER=boulder-v2 TOXENV=integration-certbot-oldest
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "2.7"
-      env: ACME_SERVER=boulder-v1 TOXENV=integration-nginx-oldest
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "2.7"
-      env: ACME_SERVER=boulder-v2 TOXENV=integration-nginx-oldest
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.4"
-      env: TOXENV=py34
-      <<: *extended-test-suite
-    - python: "3.5"
-      env: TOXENV=py35
-      <<: *extended-test-suite
-    - python: "3.6"
-      env: TOXENV=py36
-      <<: *extended-test-suite
-    - python: "3.7"
-      dist: xenial
-      env: TOXENV=py37
-      <<: *extended-test-suite
-    - python: "3.4"
-      env: ACME_SERVER=boulder-v1 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.4"
-      env: ACME_SERVER=boulder-v2 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.5"
-      env: ACME_SERVER=boulder-v1 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.5"
-      env: ACME_SERVER=boulder-v2 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.6"
-      env: ACME_SERVER=boulder-v1 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.6"
-      env: ACME_SERVER=boulder-v2 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.7"
-      dist: xenial
-      env: ACME_SERVER=boulder-v1 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - python: "3.7"
-      dist: xenial
-      env: ACME_SERVER=boulder-v2 TOXENV=integration
-      sudo: required
-      services: docker
-      <<: *extended-test-suite
-    - sudo: required
-      env: TOXENV=le_auto_jessie
-      services: docker
-      <<: *extended-test-suite
-    - sudo: required
-      env: TOXENV=le_auto_centos6
-      services: docker
-      <<: *extended-test-suite
-    - sudo: required
-      env: TOXENV=docker_dev
-      services: docker
-      addons:
-        apt:
-          packages:  # don't install nginx and apache
-            - libaugeas0
-      <<: *extended-test-suite
-    - language: generic
-      env: TOXENV=py27
-      os: osx
-      # Using this osx_image is a workaround for
-      # https://travis-ci.community/t/xcode-8-3-homebrew-outdated-error/3798.
-      osx_image: xcode10.2
-      addons:
-        homebrew:
-          packages:
-            - augeas
-            - python2
-      <<: *extended-test-suite
-    - language: generic
-      env: TOXENV=py3
-      os: osx
-      # Using this osx_image is a workaround for
-      # https://travis-ci.community/t/xcode-8-3-homebrew-outdated-error/3798.
-      osx_image: xcode10.2
-      addons:
-        homebrew:
-          packages:
-            - augeas
-            - python3
-      <<: *extended-test-suite
 
 # container-based infrastructure
 sudo: false