The Israeli-American 19-year-old used call forwarding services, digital currency and a voice disguise to make the threats.
The measure does not reintroduce sanctions lifted from Iran as part of the 2015 nuclear deal.
The issue continues to dog relations between the countries.
Following Brexit and Donald Trump's election, the nationalist party's rising popularity has some French Jews — on both the left and right — fearing civil war.
The 30-day period between Purim and Passover is often fraught, especially for Jews.