Would I be eligible for Swiss citizenship as a person born to a dual Swiss/US citizen?

Title says it all. I've emailed the consulate and they have told me it seems possible that I may be able to get it, and I have done a decent search online - but it's a little unclear if it's actually possible for me.

Context: I am a US citizen, but I was born to a Swiss/American citizen - my mother, who was born in the United States to my grandparents - who were also dual US/Swiss citizens, also born in the states. My great grandparents (both sets of them) were the Swiss immigrants, all of which were born in Switzerland and immigrated to America in the 1880's. So I am three generations removed from birth citizenship, but still - my mother was a Swiss citizen when I was born.

From what I've read it seems to be possible if I supply all of my vital records dating back to my great grandparents. I also luckily speak German, so I think that may help my case. But I still feel like I may be denied it, due to my long-distant removal from any born Swiss citizens.

Anyone have any knowledge here? Anything would help before I start paying for copies of vital records.

Edit for some additional information. The email from the consulate states: "According to your background check, I can confirm that your mother is still registered in Switzerland with her maiden name. As your parents were married at the time of your birth and your mother signed a “Beibehaltungserklaerung (retention of the Swiss citizenship)”, you would have acquired Swiss citizenship by birth, but lost it, since your birth has not been registered."

For additional information: I am 35, my mother died 15 years ago. I can not ask her additional questions unfortunately. I do regularly travel to Switzerland. I do have relationships with Swiss friends. Unfortunately - I also have a criminal record of misdemeanors from my early youth. I'm wondering if this, or any other factors will bar me from being eligible.