II. Level 2. The McKay-Thompson series of class 2B for the Monster.
j2B(τ)=(d1d2)24
Examples:
j2B(12√−10)=26U125=26(1+√52)12j2B(12√−58)=26U1229=26(5+√292)12j2B(1+√−52)=−26U65=−26(1+√52)6j2B(1+√−132)=−26U613=−26(3+√132)6j2B(1+√−372)=−26U637=−26(6+√37)6
which have class number h(−d)=2. The quadratic irrationals Un are fundamental units, solutions to Pell equations x2−ny2=−1 as discussed in Level 1.
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