Diagonal (Primitive) Quadratic Forms of Class Number One
* Binary Diagonal Quadratic Forms (204 forms)
1[1,1] 2[1,2] 3[1,3] 4[1,4] 5[1,5] 6[1,6]
6[2,3] 7[1,7] 8[1,8] 9[1,9] 10[1,10] 10[2,5]
12[1,12] 12[3,4] 13[1,13] 15[1,15] 15[3,5] 16[1,16]
18[1,18] 18[2,9] 21[1,21] 21[3,7] 22[1,22] 22[2,11]
24[1,24] 24[3,8] 25[1,25] 28[1,28] 28[4,7] 30[1,30]
30[2,15] 30[3,10] 30[5,6] 33[1,33] 33[3,11] 37[1,37]
40[1,40] 40[5,8] 42[1,42] 42[2,21] 42[3,14] 42[6,7]
45[1,45] 45[5,9] 48[1,48] 48[3,16] 57[1,57] 57[3,19]
58[1,58] 58[2,29] 60[1,60] 60[3,20] 60[4,15] 60[5,12]
70[1,70] 70[2,35] 70[5,14] 70[7,10] 72[1,72] 72[8,9]
78[1,78] 78[2,39] 78[3,26] 78[6,13] 85[1,85] 85[5,17]
88[1,88] 88[8,11] 93[1,93] 93[3,31] 102[1,102] 102[2,51]
102[3,34] 102[6,17] 105[1,105] 105[3,35] 105[5,21] 105[7,15]
112[1,112] 112[7,16] 120[1,120] 120[3,40] 120[5,24][ 120[8,15]
130[1,130] 130[2,65] 130[5,26] 130[10,13] 133[1,133] 133[7,19]
165[1,165] 165[3,55] 165[5,33] 165[11,15] 168[1,168] 168[3,56]
168[7,24] 168[8,21] 177[1,177] 177[3,59] 190[1,190] 190[2,95]
190[5,38] 190[10,19] 210[1,210] 210[2,105] 210[3,70] 210[5,42]
210[6,35] 210[7,30] 210[10,21] 210[14,15] 232[1,232] 232[8,29]
240[1,240] 240[3,80] 240[5,48] 240[15,16] 253[1,253] 253[11,23]
273[1,273] 273[3,91] 273[7,39] 273[13,21] 280[1,280] 280[5,56]
280[7,40] 280[8,35] 312[1,312] 312[3,104] 312[8,39] 312[13,24]
330[1,330] 330[2,165] 330[3,110] 330[5,66] 330[6,55] 330[10,33]
330[11,30] 330[15,22] 345[1,345] 345[3,115] 345[5,69] 345[15,23]
357[1,357] 357[3,119] 357[7,51] 357[17,21] 385[1,385] 385[5,77]
385[7,55] 385[11,35] 408[1,408] 408[3,136] 408[8,51] 408[17,24]
462[1,462] 462[2,231] 462[3,154] 462[6,77] 462[7,66] 462[11,42]
462[14,33] 462[21,22] 520[1,520] 520[5,104] 520[8,65] 520[13,40]
760[1,760] 760[5,152] 760[8,95] 760[19,40] 840[1,840] 840[3,280]
840[5,168] 840[7,120] 840[8,105] 840[15,56] 840[21,40] 840[24,35]
1320[1,1320] 1320[3,440] 1320[5,264] 1320[8,165] 1320[11,120] 1320[15,88]
1320[24,55] 1320[33,40] 1365[1,1365] 1365[3,455] 1365[5,273] 1365[7,195]
1365[13,105] 1365[15,91] 1365[21,65] 1365[35,39] 1848[1,1848] 1848[3,616]
1848[7,264] 1848[8,231] 1848[11,168] 1848[21,88] 1848[24,77] 1848[33,56]
* Ternary Diagonal Quadratic Forms (82 forms)
1[1,1,1] 2[1,1,2] 3[1,1,3] 4[1,1,4] 4[1,2,2] 5[1,1,5]
6[1,1,6] 6[1,2,3] 8[1,1,8] 8[1,2,4] 9[1,1,9] 9[1,3,3]
10[1,2,5] 12[1,1,12] 12[1,2,6] 12[1,3,4] 12[2,2,3] 16[1,2,8]
16[1,4,4] 18[1,3,6] 18[2,3,3] 20[1,2,10] 21[1,1,21] 24[1,1,24]
24[1,4,6] 25[1,5,5] 27[1,3,9] 30[1,3,10] 32[1,2,16] 32[1,4,8]
36[1,3,12] 36[1,6,6] 36[2,3,6] 36[3,3,4] 40[1,5,8] 48[1,4,12]
48[2,3,8] 48[3,4,4] 50[1,5,10] 54[1,3,18] 54[1,6,9] 54[2,3,9]
60[2,5,6] 63[3,3,7] 64[1,8,8] 72[2,3,12] 72[3,3,8] 81[1,9,9]
90[1,3,30] 96[1,4,24] 96[1,6,16] 100[2,5,10] 108[1,6,18] 108[1,9,12]
108[2,3,18] 108[2,6,9] 125[1,5,25] 128[1,8,16] 144[1,6,24] 144[1,12,12]
144[3,4,12] 147[3,7,7] 150[2,5,15] 180[2,6,15] 189[1,9,21] 192[3,8,8]
200[1,5,40] 216[1,9,24] 288[2,3,48] 288[3,8,12] 300[1,10,30] 320[1,8,40]
384[1,16,24] 432[3,4,36] 441[1,21,21] 450[5,6,15] 576[1,24,24] 900[3,10,30]
1152[3,8,48] 1323[3,7,63] 1600[5,8,40] 1728[3,8,72]
* Quaternary Diagonal Quadratic Forms (34 forms)
1[1,1,1,1] 2[1,1,1,2] 3[1,1,1,3] 4[1,1,1,4] 4[1,1,2,2]
5[1,1,1,5] 6[1,1,2,3] 8[1,1,1,8] 8[1,1,2,4] 8[1,2,2,2]
9[1,1,3,3] 12[1,1,2,6] 12[1,2,2,3] 16[1,1,4,4] 16[1,2,2,4]
24[1,2,2,6] 27[1,1,3,9] 27[1,3,3,3] 32[1,1,4,8] 32[1,2,2,8]
32[1,2,4,4] 48[1,2,4,6] 54[1,3,3,6] 64[1,4,4,4] 81[1,3,3,9]
108[1,3,6,6] 108[2,3,3,6] 125[1,5,5,5] 128[1,2,8,8] 128[1,4,4,8]
216[2,3,6,6] 243[1,3,9,9] 432[2,3,6,12] 512[1,8,8,8]
* Quinary Diagonal Quadratic Forms (18 forms)
1[1,1,1,1,1] 2[1,1,1,1,2] 3[1,1,1,1,3] 4[1,1,1,1,4] 4[1,1,1,2,2]
6[1,1,1,2,3] 8[1,1,2,2,2] 16[1,1,1,4,4] 16[1,1,2,2,4] 16[1,2,2,2,2]
32[1,2,2,2,4] 48[1,2,2,2,6] 64[1,1,4,4,4] 64[1,2,2,4,4] 81[1,3,3,3,3]
162[1,3,3,3,6] 256[1,4,4,4,4] 1296[2,3,6,6,6]
* 6-ary Diagonal Quadratic Forms (8 forms)
1[1,1,1,1,1,1] 2[1,1,1,1,1,2] 3[1,1,1,1,1,3] 4[1,1,1,1,2,2]
16[1,1,2,2,2,2] 32[1,2,2,2,2,2] 64[1,2,2,2,2,4] 243[1,3,3,3,3,3]
* 7-ary Diagonal Quadratic Forms (3 forms)
1[1,1,1,1,1,1,1] 2[1,1,1,1,1,1,2] 64[1,2,2,2,2,2,2]
* 8-ary Diagonal Quadratic Forms (1 form)
1[1,1,1,1,1,1,1,1]