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 |
---|---|---|---|---|
3.1.386855.1 | $x^{3} - x^{2} + 54 x - 720$ | $-\,5\cdot 7^{2}\cdot 1579$ | $S_3$ (as 3T2) | $[108]$ |
3.1.456231.1 | $x^{3} - x^{2} + 46 x + 216$ | $-\,3\cdot 152077$ | $S_3$ (as 3T2) | $[109]$ |
3.1.499359.1 | $x^{3} - x^{2} + 194 x - 944$ | $-\,3\cdot 7^{2}\cdot 43\cdot 79$ | $S_3$ (as 3T2) | $[123]$ |
3.1.529444.1 | $x^{3} - x^{2} + 81 x - 1$ | $-\,2^{2}\cdot 132361$ | $S_3$ (as 3T2) | $[104]$ |
3.1.606279.1 | $x^{3} + 171 x - 260$ | $-\,3\cdot 61\cdot 3313$ | $S_3$ (as 3T2) | $[145]$ |
3.1.703364.1 | $x^{3} - x^{2} + 8 x + 1450$ | $-\,2^{2}\cdot 101\cdot 1741$ | $S_3$ (as 3T2) | $[118]$ |
3.1.714932.1 | $x^{3} - x^{2} - 116 x + 1128$ | $-\,2^{2}\cdot 19\cdot 23\cdot 409$ | $S_3$ (as 3T2) | $[103]$ |
3.1.719911.1 | $x^{3} - x^{2} + 168 x - 1060$ | $-\,719911$ | $S_3$ (as 3T2) | $[104]$ |
3.1.814575.2 | $x^{3} - 135 x - 2170$ | $-\,3\cdot 5^{2}\cdot 10861$ | $S_3$ (as 3T2) | $[129]$ |
3.1.885871.1 | $x^{3} + 91 x - 140$ | $-\,7^{2}\cdot 101\cdot 179$ | $S_3$ (as 3T2) | $[162]$ |
3.1.893252.1 | $x^{3} - x^{2} + 96 x + 378$ | $-\,2^{2}\cdot 223313$ | $S_3$ (as 3T2) | $[103]$ |
3.1.930719.3 | $x^{3} - x^{2} + 158 x + 760$ | $-\,930719$ | $S_3$ (as 3T2) | $[144]$ |
3.1.960456.2 | $x^{3} - x^{2} - 99 x - 1161$ | $-\,2^{3}\cdot 3\cdot 7\cdot 5717$ | $S_3$ (as 3T2) | $[129]$ |
3.1.968228.2 | $x^{3} - x^{2} + 137 x - 1001$ | $-\,2^{2}\cdot 242057$ | $S_3$ (as 3T2) | $[156]$ |
3.1.969359.3 | $x^{3} - x^{2} + 78 x + 1080$ | $-\,969359$ | $S_3$ (as 3T2) | $[102]$ |
3.1.978715.1 | $x^{3} - x^{2} + 59 x + 60$ | $-\,5\cdot 195743$ | $S_3$ (as 3T2) | $[104]$ |
3.1.983528.1 | $x^{3} - x^{2} + 201 x - 405$ | $-\,2^{3}\cdot 7^{2}\cdot 13\cdot 193$ | $S_3$ (as 3T2) | $[141]$ |
3.1.999431.1 | $x^{3} - 253 x - 1596$ | $-\,999431$ | $S_3$ (as 3T2) | $[134]$ |
3.1.1011800.3 | $x^{3} - x^{2} - 128 x + 1332$ | $-\,2^{3}\cdot 5^{2}\cdot 5059$ | $S_3$ (as 3T2) | $[129]$ |
3.1.1020183.3 | $x^{3} - x^{2} + 54 x + 1920$ | $-\,3\cdot 340061$ | $S_3$ (as 3T2) | $[105]$ |
3.1.1027304.1 | $x^{3} - x^{2} + 40 x - 2352$ | $-\,2^{3}\cdot 128413$ | $S_3$ (as 3T2) | $[126]$ |
3.1.1071415.2 | $x^{3} - x^{2} - 116 x - 2400$ | $-\,5\cdot 214283$ | $S_3$ (as 3T2) | $[111]$ |
3.1.1105151.1 | $x^{3} - x^{2} + 270 x + 1000$ | $-\,109\cdot 10139$ | $S_3$ (as 3T2) | $[122]$ |
3.1.1112388.1 | $x^{3} - x^{2} - 63 x + 471$ | $-\,2^{2}\cdot 3\cdot 92699$ | $S_3$ (as 3T2) | $[104]$ |
3.1.1126488.1 | $x^{3} + 54 x - 1216$ | $-\,2^{3}\cdot 3\cdot 11\cdot 17\cdot 251$ | $S_3$ (as 3T2) | $[101]$ |
3.1.1150788.2 | $x^{3} + 198 x - 620$ | $-\,2^{2}\cdot 3\cdot 41\cdot 2339$ | $S_3$ (as 3T2) | $[102]$ |
3.1.1151623.1 | $x^{3} - x^{2} + 14 x + 408$ | $-\,11\cdot 104693$ | $S_3$ (as 3T2) | $[136]$ |
3.1.1172303.3 | $x^{3} + 95 x - 216$ | $-\,11\cdot 17\cdot 6269$ | $S_3$ (as 3T2) | $[177]$ |
3.1.1176531.1 | $x^{3} - x^{2} + 179 x - 554$ | $-\,3\cdot 392177$ | $S_3$ (as 3T2) | $[122]$ |
3.1.1209732.1 | $x^{3} - x^{2} + 41 x - 425$ | $-\,2^{2}\cdot 3\cdot 100811$ | $S_3$ (as 3T2) | $[101]$ |
3.1.1215679.2 | $x^{3} + 229 x - 1050$ | $-\,1215679$ | $S_3$ (as 3T2) | $[150]$ |
3.1.1258712.1 | $x^{3} - 91 x - 546$ | $-\,2^{3}\cdot 7^{2}\cdot 13^{2}\cdot 19$ | $S_3$ (as 3T2) | $[3, 36]$ |
3.1.1268703.2 | $x^{3} + 135 x - 1152$ | $-\,3^{5}\cdot 23\cdot 227$ | $S_3$ (as 3T2) | $[126]$ |
3.1.1281812.1 | $x^{3} - x^{2} + 44 x + 1288$ | $-\,2^{2}\cdot 7\cdot 45779$ | $S_3$ (as 3T2) | $[131]$ |
3.1.1284847.1 | $x^{3} - x^{2} + 106 x - 160$ | $-\,1284847$ | $S_3$ (as 3T2) | $[123]$ |
3.1.1291576.1 | $x^{3} - x^{2} + 109 x - 1$ | $-\,2^{3}\cdot 11\cdot 13\cdot 1129$ | $S_3$ (as 3T2) | $[121]$ |
3.1.1293080.3 | $x^{3} - x^{2} + 360 x - 180$ | $-\,2^{3}\cdot 5\cdot 32327$ | $S_3$ (as 3T2) | $[111]$ |
3.1.1306691.3 | $x^{3} - x^{2} + 119 x + 394$ | $-\,1306691$ | $S_3$ (as 3T2) | $[102]$ |
3.1.1309544.3 | $x^{3} + 14 x - 440$ | $-\,2^{3}\cdot 17\cdot 9629$ | $S_3$ (as 3T2) | $[105]$ |
3.1.1310196.3 | $x^{3} - x^{2} + 29 x + 427$ | $-\,2^{2}\cdot 3\cdot 41\cdot 2663$ | $S_3$ (as 3T2) | $[135]$ |
3.1.1326299.2 | $x^{3} + 269 x - 510$ | $-\,13\cdot 102023$ | $S_3$ (as 3T2) | $[102]$ |
3.1.1350419.2 | $x^{3} + 323 x - 96$ | $-\,7\cdot 192917$ | $S_3$ (as 3T2) | $[126]$ |
3.1.1360680.1 | $x^{3} - x^{2} + 105 x - 213$ | $-\,2^{3}\cdot 3\cdot 5\cdot 17\cdot 23\cdot 29$ | $S_3$ (as 3T2) | $[127]$ |
3.1.1362671.3 | $x^{3} - x^{2} + 78 x + 1296$ | $-\,47\cdot 79\cdot 367$ | $S_3$ (as 3T2) | $[120]$ |
3.1.1362820.1 | $x^{3} - x^{2} - 15 x + 455$ | $-\,2^{2}\cdot 5\cdot 68141$ | $S_3$ (as 3T2) | $[125]$ |
3.1.1402260.1 | $x^{3} - x^{2} + 85 x + 315$ | $-\,2^{2}\cdot 3\cdot 5\cdot 23371$ | $S_3$ (as 3T2) | $[106]$ |
3.1.1429428.1 | $x^{3} - 126 x - 1484$ | $-\,2^{2}\cdot 3\cdot 7^{2}\cdot 11\cdot 13\cdot 17$ | $S_3$ (as 3T2) | $[114]$ |
3.1.1438964.1 | $x^{3} - x^{2} + 149 x + 1147$ | $-\,2^{2}\cdot 163\cdot 2207$ | $S_3$ (as 3T2) | $[119]$ |
3.1.1450471.1 | $x^{3} - x^{2} + 230 x - 1968$ | $-\,11\cdot 131861$ | $S_3$ (as 3T2) | $[2, 72]$ |
3.1.1466135.1 | $x^{3} + 83 x - 364$ | $-\,5\cdot 11\cdot 19\cdot 23\cdot 61$ | $S_3$ (as 3T2) | $[120]$ |