So consider the lattices $aZ+bZ$ for any vectors $a$ and $b$. And Z means all integers. I have found 3 so far:
$2aZ+2bZ$ and $3aZ +bZ$ and $aZ+3bZ$ Are there anymore? Am I right? This question basically means to find sub groups of index $3$ right?
2026-03-26 12:54:07.1774529647
How many sub lattices of $aZ+bZ$ Have index 3?
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