Events

Men's sprint
Women's sprint
Men's keirin
Women's keirin
Men's omnium
Women's omnium
Men's team sprint
Women's team sprint
Men's team pursuit
Women's team pursuit

Medals by country (30 total possible) - note that is total medals but still in the order of gold, silver, bronze...

11 Great Britain
2 Netherlands
2 Germany
1 China
1 Italy
2 United States
2 Australia
2 Russia
1 New Zealand
2 Denmark
1 Belgium
1 Canada
1 France
1 Malaysia

Or
21 EU
1 China
2 United States
2 Australia
2 Russia
1 New Zealand
1 Canada
1 Malaysia

And again it appears there are limits to number of teams to 1 per category per country...so the EU could only max out at 10 instead of 21...

https://en.wikipedia.org/wiki/Cycling_at_the_2016_Summer_Olympics_%E2%80%93_Qualification

Note I guess on some EU inclusion based on basic geography and no real incite as to who is in or out (Denmark? Belgium?)...