Sounds like you're looking for the dbSNp files. You haven't specified a species, but you can download the data for human from the dbSNP FTP site. Specifically, you want:
wget https://ftp.ncbi.nlm.nih.gov/snp/organisms/human_9606/VCF/00-All.vcf.gz
This file has lines like:
1 10848 rs1271898990 C G . . RS=1271898990;RSPOS=10848;dbSNPBuildID=151;SSR=0;SAO=0;VP=0x050000020005000002000100;GENEINFO=DDX11L1:100287102;WGT=1;VC=SNV;R5;ASP;TOPMED=0.99998407237512742,0.00001592762487257
1 10851 rs1340958514 G A . . RS=1340958514;RSPOS=10851;dbSNPBuildID=151;SSR=0;SAO=0;VP=0x050000020005000002000100;GENEINFO=DDX11L1:100287102;WGT=1;VC=SNV;R5;ASP;TOPMED=0.99996018093781855,0.00003981906218144
1 10854 rs1222740568 G A,C . . RS=1222740568;RSPOS=10854;dbSNPBuildID=151;SSR=0;SAO=0;VP=0x050000020005000002000100;GENEINFO=DDX11L1:100287102;WGT=1;VC=SNV;R5;ASP;TOPMED=0.99967348369011213,0.00019113149847094,0.00013538481141692
1 10857 rs1487378566 C G . . RS=1487378566;RSPOS=10857;dbSNPBuildID=151;SSR=0;SAO=0;VP=0x050000020005000002000100;GENEINFO=DDX11L1:100287102;WGT=1;VC=SNV;R5;ASP;TOPMED=0.99933900356778797,0.00066099643221202
However, it sounds like you might be underestimating the complexity here. There isn't just one minor allele, many sites have multiple minor alleles. The example above shows one such multiallelic site (you can split these into separate lines using bcftools). But you also have cases like:
1 10786 rs1464509424 CGGCGCA C . . RS=1464509424;RSPOS=10787;dbSNPBuildID=151;SSR=0;SAO=0;VP=0x050000020005000002000200;GENEINFO=DDX11L1:100287102;WGT=1;VC=DIV;R5;ASP;TOPMED=0.99991239806320081,0.00008760193679918
1 10786 rs1258377526 CGGCGCAGGCGCAGACACATGCTAGCGCGTCGGGGTGGAGGCGT C . . RS=1258377526;RSPOS=10787;dbSNPBuildID=151;SSR=0;SAO=0;VP=0x050000020005000002000200;GENEINFO=DDX11L1:100287102;WGT=1;VC=DIV;R5;ASP
Don't expect just one major and one minor allele per location.