Jasmina is from the Macedonian / Serbian Јасмина (Jasmina) — South Slavic rendition of Jasmine (from Persian yāsamīn — jasmine flower). Jasmina is one of the South Slavic feminine names — central to traditional Macedonian + Serbian + Bosnian heritage.
Jasmina does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Jasmina reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.