Browsing the current literature about Genes, I came across SNPedia, which is a wiki investigating human genetics. There you can find information about the effects of variations in DNA, citing peer-reviewed scientific publications.

Searching for IntelliGenes* , Genes associated with high intellectual performance, current scientific works point to the SNAP25 gene, which encodes a presynaptic terminal protein, primarily expressed in the brain. You can also visit the relevant SNPedia page (external link, opens in new tab)

In a more detailed search, I found the following chromosome positions currently being related to intelligence:

Chromosome position

SNPedia links

PubMed articles

chr7:136339536
chr7:136344201

Rs324640
Rs324650

Association between the CHRM2 gene and intelligence in a sample of 304 Dutch families

chr11:q12.2
chr11:q12.2

Rs1535
Rs174575

Moderation of breastfeeding effects on the IQ by genetic variation in fatty acid metabolism

chr20:10168496
chr20:10174146
chr20:10179174
chr20:10182257

Rs363039
Rs363043
Rs363016
Rs363050

The SNAP-25 gene is associated with cognitive ability: evidence from a family-based study in two independent Dutch cohorts
Common variants underlying cognitive ability: further evidence for association between the SNAP-25 gene and cognition using a family-based study in two independent Dutch cohorts

chr20
 

Rs353016
 

Association of CHRM2 with IQ: converging evidence for a gene influencing intelligence

You can also search directly SNPedia for Intelligence and IQ

* IntelliGenes: is a term I just figured out relating Intelligence and Genes