Even positive definite unimodular quadratic forms over 𝑄(√3)

Hung, David C.

doi:10.1090/S0025-5718-1991-1079022-9

Even positive definite unimodular quadratic forms over $\textbf {Q}(\sqrt 3)$
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Math. Comp. 57 (1991), 351-368 Request permission

Abstract:

A complete list of even unimodular lattices over $\mathbb {Q}(\sqrt 3 )$ is given for each dimension $n = 2,4,6,8$. Siegel’s mass formula is used to verify the completeness of the list. Alternate checks are given using theta series and the adjacency graph of the genus at the dyadic prime $1 + \sqrt 3$.

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