Level 13. Define dk=η(kτ) with Dedekind eta function η(kτ) and the McKay-Thompson series of class 13B j13B(τ)=(d1d13)2
Examples. Let d=13m with class number h(−d)=2 for m=7,31 and we find a phenomenon similar to Level 5 j13B(1+√−7/132)=−√13(3+√132)j13B(1+√−31/132)=−√13(3+√132)3
But where Class 5B involves the fundamental unit U5 or the golden ratio, Class 13B involves U13=3+√132 also known as the bronze ratio.
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