Please also see the link below.

https://science.sciencemag.org/content/370/6520/1022

Common side effects on the arm at the injection site include pain and swelling ( to reduce it apply a clean, cool, wet washcloth over the area and use or exercise your arm.)

Fever, chills (to reduce it drink plenty of fluids and dress lightly)

Tiredness and headache.

Nausea

Allergic reactions to the COVID-19 vaccine likely to be extremely rare.

You can read more in this article from the CDC:

https://abc7.com/vaccine-side-effects-covid-palsy-paralysis/8768566/

I recommend reading this article about symptoms of volunteering nurse who participated in Pfizer's vaccine trial

https://www.medscape.com/viewarticle/942133

The temporary side effects of COVID-19 may include sore arm, fever, fatigue, headache, muscle pain and joint pain.

https://www.goodrx.com/blog/side-effects-covid-19-vaccine/

Please also see the link below.

https://science.sciencemag.org/content/370/6520/1022