One of the best exercises you can do to strengthen your core is the basic plank. Having a strong core is very important to support your lower back, hips and pelvis. If its been a while since you’ve done much training especially weight based training you might find your lower back can get a bit sore with certain movements which may suggest that your core not is not firing at 100% or a bit weak. I would suggest trying some of these plank variations to help get those deep abdominal muscles doing their job properly.
*Please note if you are currently experiencing acute lower back pain it is not a good idea to attempt these exercises as they may aggravate your back. Please seek treatment prior to attempting these exercises.