Here is another awesome challenge for your brain and AI. Find an elliptic curve with at least 30 independent points. Notice that the rank records have been increasing since the 1930s. But recently we see the law of diminishing returns. The problem is so hard that the record curve is way past its inflection point (1988). Or it seems so. So stop looking for crazy conjectures, find a higher rank or show it's impossible. Real math fame involved!