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Elsewhere commented. However because of the importance of the only known proofs of optimality of sphere packing in higher dimensions posting here. https://www.quantamagazine.org/sphere-packing-solved-in-higher-dimensions-20160330/ covers the solution to optimality of known sphere packings in dimensions $8$ and $24$ using modular forms and this is one reason why modular forms are interesting as they show up naturally to solve a central problem in an area of mathematics.

Post Made Community Wiki by VS.