Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
3.1.54893107083.1 | $x^{3} - 135269$ | $-\,3\cdot 17^{2}\cdot 73^{2}\cdot 109^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1143]$ |
3.1.197841895251.2 | $x^{3} - x^{2} - 21856 x - 6280196$ | $-\,3\cdot 7^{2}\cdot 11\cdot 13\cdot 19^{2}\cdot 29^{2}\cdot 31$ | $S_3$ (as 3T2) | $[3, 3459]$ |
3.1.257262282732.1 | $x^{3} - 585676$ | $-\,2^{2}\cdot 3\cdot 7^{2}\cdot 13^{2}\cdot 1609^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1287]$ |
3.1.284653405575.4 | $x^{3} + 55545 x - 1766170$ | $-\,3^{4}\cdot 5^{2}\cdot 7^{2}\cdot 11\cdot 17\cdot 23^{2}\cdot 29$ | $S_3$ (as 3T2) | $[3, 3, 3, 468]$ |
3.1.392652134523.1 | $x^{3} - 2291267$ | $-\,3^{3}\cdot 11^{2}\cdot 19^{2}\cdot 577^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 387]$ |
3.1.495241833996.13 | $x^{3} + 81396 x - 81396$ | $-\,2^{2}\cdot 3^{4}\cdot 7^{2}\cdot 13\cdot 17^{2}\cdot 19^{2}\cdot 23$ | $S_3$ (as 3T2) | $[3, 3, 3, 429]$ |
3.1.551294352180.1 | $x^{3} + 111693 x - 7049586$ | $-\,2^{2}\cdot 3^{3}\cdot 5\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3900]$ |
3.1.752686221700.4 | $x^{3} - x^{2} + 28712 x + 45366252$ | $-\,2^{2}\cdot 5^{2}\cdot 7^{2}\cdot 17\cdot 19\cdot 23^{2}\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 1545]$ |
3.1.757366825644.24 | $x^{3} + 5742 x - 1914$ | $-\,2^{2}\cdot 3^{5}\cdot 11^{2}\cdot 13\cdot 19\cdot 29^{2}\cdot 31$ | $S_3$ (as 3T2) | $[3, 6, 630]$ |
3.1.875247340968.6 | $x^{3} + 6783 x - 874174$ | $-\,2^{3}\cdot 3^{4}\cdot 7^{2}\cdot 11\cdot 13\cdot 17^{2}\cdot 23\cdot 29$ | $S_3$ (as 3T2) | $[3, 3, 2211]$ |
3.1.927190073355.1 | $x^{3} - x^{2} + 118725 x - 21813000$ | $-\,3\cdot 5\cdot 7^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 1158]$ |
3.1.962324930700.1 | $x^{3} - 81934860$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 405]$ |
3.1.971194238028.1 | $x^{3} - 82311572$ | $-\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 6, 240]$ |
3.1.976650374700.12 | $x^{3} - 29289260$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 129]$ |
3.1.1075761762075.8 | $x^{3} + 9240 x - 491645$ | $-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13\cdot 23\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 9, 432]$ |
3.1.1164413166147.10 | $x^{3} - 6437739$ | $-\,3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1260]$ |
3.1.1168285253292.1 | $x^{3} - 1248084$ | $-\,2^{2}\cdot 3^{5}\cdot 37^{2}\cdot 937^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1404]$ |
3.1.1212366355308.1 | $x^{3} - 1271412$ | $-\,2^{2}\cdot 3^{5}\cdot 35317^{2}$ | $S_3$ (as 3T2) | $[6, 2700]$ |
3.1.1248870711816.6 | $x^{3} + 6783 x - 2355962$ | $-\,2^{3}\cdot 3^{4}\cdot 7^{2}\cdot 13\cdot 17^{2}\cdot 19^{2}\cdot 29$ | $S_3$ (as 3T2) | $[3, 3, 1221]$ |
3.1.1262941106700.9 | $x^{3} - x^{2} + 216277 x - 96123$ | $-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 108]$ |
3.1.1269693929700.2 | $x^{3} - 243675 x - 62266230$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7\cdot 19^{2}\cdot 23\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 4764]$ |
3.1.1341117996300.24 | $x^{3} - 63517950$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 444]$ |
3.1.1411549389432.2 | $x^{3} + 47709 x - 74888994$ | $-\,2^{3}\cdot 3^{5}\cdot 7\cdot 13\cdot 19^{2}\cdot 23\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1461]$ |
3.1.1461096783300.3 | $x^{3} - x^{2} + 138192 x - 146838$ | $-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 11\cdot 19\cdot 23^{2}\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 6, 1020]$ |
3.1.1491069233368.3 | $x^{3} - x^{2} + 43390 x - 23493094$ | $-\,2^{3}\cdot 11\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 480]$ |
3.1.1537134688908.25 | $x^{3} - 63468132$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 6, 186]$ |
3.1.1601443055628.1 | $x^{3} - 120066206$ | $-\,2^{2}\cdot 3^{3}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 648]$ |
3.1.1609355435787.3 | $x^{3} - 235290 x - 45795277$ | $-\,3^{4}\cdot 11^{2}\cdot 17\cdot 19\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1758]$ |
3.1.1628958602700.16 | $x^{3} + 7410 x - 7410$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 11\cdot 13^{2}\cdot 19^{2}\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 3, 897]$ |
3.1.1635247380627.1 | $x^{3} - 246099$ | $-\,3^{5}\cdot 7^{2}\cdot 11719^{2}$ | $S_3$ (as 3T2) | $[3, 3, 2646]$ |
3.1.1742439528963.1 | $x^{3} - 254037$ | $-\,3^{5}\cdot 7^{2}\cdot 12097^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3186]$ |
3.1.1800427929300.4 | $x^{3} - 12675 x - 1169870$ | $-\,2^{2}\cdot 3^{4}\cdot 5^{2}\cdot 7\cdot 11\cdot 13^{2}\cdot 19\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 6, 924]$ |
3.1.1922694537764.1 | $x^{3} - 95914 x - 93036580$ | $-\,2^{2}\cdot 7^{2}\cdot 11\cdot 13^{2}\cdot 17^{2}\cdot 19\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 6, 648]$ |
3.1.2110227909075.8 | $x^{3} - 52278655$ | $-\,3^{3}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 570]$ |
3.1.2132098742700.13 | $x^{3} - 28663020$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 567]$ |
3.1.2164879392588.1 | $x^{3} - 283162$ | $-\,2^{2}\cdot 3^{3}\cdot 11^{2}\cdot 61^{2}\cdot 211^{2}$ | $S_3$ (as 3T2) | $[3, 3, 6, 300]$ |
3.1.2300141660652.1 | $x^{3} - 291874$ | $-\,2^{2}\cdot 3^{3}\cdot 11^{2}\cdot 13267^{2}$ | $S_3$ (as 3T2) | $[3, 6, 912]$ |
3.1.2360892456300.8 | $x^{3} - x^{2} - 295703 x + 118412757$ | $-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 390]$ |
3.1.2576716335180.7 | $x^{3} + 257868 x - 75555324$ | $-\,2^{2}\cdot 3^{4}\cdot 5\cdot 13^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 6, 240]$ |
3.1.2628591272748.5 | $x^{3} - 11856684$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 546]$ |
3.1.2830346831907.1 | $x^{3} - 323771$ | $-\,3^{3}\cdot 7^{2}\cdot 23^{2}\cdot 2011^{2}$ | $S_3$ (as 3T2) | $[3, 6, 1740]$ |
3.1.2929724446572.22 | $x^{3} - 10211586$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 714]$ |
3.1.2956070822796.11 | $x^{3} + 120156 x - 40272286$ | $-\,2^{2}\cdot 3^{4}\cdot 7\cdot 13\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 567]$ |
3.1.2999274043923.1 | $x^{3} - 333293$ | $-\,3^{3}\cdot 23^{2}\cdot 43^{2}\cdot 337^{2}$ | $S_3$ (as 3T2) | $[3, 6, 1596]$ |
3.1.3057089042700.8 | $x^{3} - 2355430$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 126]$ |
3.1.3190796049420.15 | $x^{3} - 40698 x - 12440022$ | $-\,2^{2}\cdot 3^{5}\cdot 5\cdot 7\cdot 17^{2}\cdot 19^{2}\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 1401]$ |
3.1.3287330083620.16 | $x^{3} + 488070 x - 56941500$ | $-\,2^{2}\cdot 3^{5}\cdot 5\cdot 11^{2}\cdot 17^{2}\cdot 23\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1263]$ |
3.1.3316105089675.6 | $x^{3} - 29788675$ | $-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 585]$ |
3.1.3418220414700.7 | $x^{3} - 211706950$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 285]$ |
3.1.3597749781236.4 | $x^{3} - x^{2} + 58704 x - 10338368$ | $-\,2^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 1260]$ |