The SEC is 12-14-1 against Current Ivy Schools
Figuring the 'Ivy League' can be tough. The problem is that the Ivy League did not officially form until 1956. If you're using the same standard as you used for Big Ten vs SEC, the SEC is 0-0 against Ivy League teams, as there have been no games since '56.
That's not to say there was no Ivy League prior to '56. The teams had been linked together under that name for several years prior to '56.
However, these references sometimes include Army and Navy and other teams as part of the "Ivy League".
If you want a record of historical SEC teams (starting in 33) vs those teams that became the Ivy league, then the SEC is 8-3 against Ivy League Schools (Georgia 5-1, Vanderbilt 2-2, Tulane 1-0).
Current membership of the SEC vs current membership of the Ivy comes to 12-14-1 for the Ivies. I'm not sure how you're deriving your number.