We give the theta series of the lattices <(1, 0), (0, \sqrt{2})> for d=2
and <(1, 0), (1/2, \sqrt{d}/2)> for the others.
These are the integer rings of the imaginary quadratic fields whose class number is 1.
(We set P_1=(x^2-y^2)/2 and P_2=xy.)
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