I would firstly like to commend you on posting on the forums here, so thank you for reaching out.
Also, it was very brave of you to tell your parents something that is very personal. An early step to help getting rid of these suicidal thoughts is to acknowledge it and tell someone. You are already well on your way in this process. You should be proud of yourself.
Do not fret, it is completely normal to feel worried about what you are feeling. There are people around you who care about you and want to help you, you should know that.
Keep on keeping on!