user=MyUserName
pass=MyPassword
newName='{"name": "NewNameForRepo"}'
oldName="MyRepo"

curl -u "$user:$pass" -X PATCH -d "$newName" https://api.github.com/repos/$user/$oldName

curl
 -H "Authorization: Token [token]"
 -H "Content-Type:application/json"
 -H "Accept: application/json"
 -X PATCH
 --data '{ "name": "new-repo-name" }'
 https://api.github.com/repos/owner/old-repo-name