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 |
---|---|---|---|---|
3.1.9064.1 | $x^{3} - x^{2} + 21 x - 1$ | $-\,2^{3}\cdot 11\cdot 103$ | $S_3$ (as 3T2) | $[13]$ |
3.1.12244.1 | $x^{3} - x^{2} + 16 x + 54$ | $-\,2^{2}\cdot 3061$ | $S_3$ (as 3T2) | $[11]$ |
3.1.13368.1 | $x^{3} - x^{2} + 24 x - 12$ | $-\,2^{3}\cdot 3\cdot 557$ | $S_3$ (as 3T2) | $[11]$ |
3.1.13668.1 | $x^{3} - x^{2} + 17 x + 31$ | $-\,2^{2}\cdot 3\cdot 17\cdot 67$ | $S_3$ (as 3T2) | $[11]$ |
3.1.14532.1 | $x^{3} - x^{2} - 8 x + 96$ | $-\,2^{2}\cdot 3\cdot 7\cdot 173$ | $S_3$ (as 3T2) | $[13]$ |
3.1.14536.1 | $x^{3} + 22 x - 24$ | $-\,2^{3}\cdot 23\cdot 79$ | $S_3$ (as 3T2) | $[11]$ |
3.1.14664.1 | $x^{3} - x^{2} + 13 x + 39$ | $-\,2^{3}\cdot 3\cdot 13\cdot 47$ | $S_3$ (as 3T2) | $[13]$ |
3.1.15063.1 | $x^{3} - x^{2} - 2 x + 48$ | $-\,3\cdot 5021$ | $S_3$ (as 3T2) | $[17]$ |
3.1.15364.1 | $x^{3} - x^{2} + 25 x - 1$ | $-\,2^{2}\cdot 23\cdot 167$ | $S_3$ (as 3T2) | $[13]$ |
3.1.15396.1 | $x^{3} - x^{2} + 16 x - 6$ | $-\,2^{2}\cdot 3\cdot 1283$ | $S_3$ (as 3T2) | $[11]$ |
3.1.16787.1 | $x^{3} - x^{2} + 11 x + 70$ | $-\,16787$ | $S_3$ (as 3T2) | $[14]$ |
3.1.17988.1 | $x^{3} + 21 x - 68$ | $-\,2^{2}\cdot 3\cdot 1499$ | $S_3$ (as 3T2) | $[11]$ |
3.1.19919.4 | $x^{3} - x^{2} + 6 x - 56$ | $-\,19919$ | $S_3$ (as 3T2) | $[12]$ |
3.1.20276.2 | $x^{3} - x^{2} + 36 x - 18$ | $-\,2^{2}\cdot 37\cdot 137$ | $S_3$ (as 3T2) | $[15]$ |
3.1.22164.1 | $x^{3} - x^{2} - 4 x - 56$ | $-\,2^{2}\cdot 3\cdot 1847$ | $S_3$ (as 3T2) | $[16]$ |
3.1.22168.1 | $x^{3} + 10 x - 56$ | $-\,2^{3}\cdot 17\cdot 163$ | $S_3$ (as 3T2) | $[17]$ |
3.1.22395.2 | $x^{3} - x^{2} - 15 x + 42$ | $-\,3\cdot 5\cdot 1493$ | $S_3$ (as 3T2) | $[12]$ |
3.1.22675.1 | $x^{3} - x^{2} + 17 x - 18$ | $-\,5^{2}\cdot 907$ | $S_3$ (as 3T2) | $[12]$ |
3.1.22836.1 | $x^{3} + 18 x - 172$ | $-\,2^{2}\cdot 3\cdot 11\cdot 173$ | $S_3$ (as 3T2) | $[11]$ |
3.1.22868.1 | $x^{3} + 26 x - 28$ | $-\,2^{2}\cdot 5717$ | $S_3$ (as 3T2) | $[14]$ |
3.1.22883.1 | $x^{3} + 14 x - 21$ | $-\,7^{2}\cdot 467$ | $S_3$ (as 3T2) | $[12]$ |
3.1.23567.1 | $x^{3} - x^{2} + 26 x - 40$ | $-\,23567$ | $S_3$ (as 3T2) | $[17]$ |
3.1.23683.4 | $x^{3} + 10 x - 27$ | $-\,11\cdot 2153$ | $S_3$ (as 3T2) | $[12]$ |
3.1.23991.1 | $x^{3} - x^{2} + 28 x + 96$ | $-\,3\cdot 11\cdot 727$ | $S_3$ (as 3T2) | $[13]$ |
3.1.24079.3 | $x^{3} - x^{2} + 26 x + 24$ | $-\,11^{2}\cdot 199$ | $S_3$ (as 3T2) | $[12]$ |
3.1.24596.1 | $x^{3} + 17 x - 54$ | $-\,2^{2}\cdot 11\cdot 13\cdot 43$ | $S_3$ (as 3T2) | $[11]$ |
3.1.25132.2 | $x^{3} + 16 x - 18$ | $-\,2^{2}\cdot 61\cdot 103$ | $S_3$ (as 3T2) | $[12]$ |
3.1.25191.1 | $x^{3} + 33 x - 98$ | $-\,3^{4}\cdot 311$ | $S_3$ (as 3T2) | $[18]$ |
3.1.25467.1 | $x^{3} + 30 x - 67$ | $-\,3\cdot 13\cdot 653$ | $S_3$ (as 3T2) | $[13]$ |
3.1.26707.1 | $x^{3} + 10 x - 29$ | $-\,17\cdot 1571$ | $S_3$ (as 3T2) | $[13]$ |
3.1.26760.2 | $x^{3} - x^{2} + 2 x - 158$ | $-\,2^{3}\cdot 3\cdot 5\cdot 223$ | $S_3$ (as 3T2) | $[15]$ |
3.1.27156.4 | $x^{3} - x^{2} + 8 x + 124$ | $-\,2^{2}\cdot 3\cdot 31\cdot 73$ | $S_3$ (as 3T2) | $[12]$ |
3.1.27192.1 | $x^{3} - x^{2} - 19 x - 65$ | $-\,2^{3}\cdot 3\cdot 11\cdot 103$ | $S_3$ (as 3T2) | $[19]$ |
3.1.27355.1 | $x^{3} - 8 x - 33$ | $-\,5\cdot 5471$ | $S_3$ (as 3T2) | $[12]$ |
3.1.27640.2 | $x^{3} - x^{2} + 29 x + 15$ | $-\,2^{3}\cdot 5\cdot 691$ | $S_3$ (as 3T2) | $[15]$ |
3.1.27992.1 | $x^{3} - 13 x - 162$ | $-\,2^{3}\cdot 3499$ | $S_3$ (as 3T2) | $[11]$ |
3.1.28279.3 | $x^{3} - x^{2} + 18 x - 64$ | $-\,28279$ | $S_3$ (as 3T2) | $[12]$ |
3.1.28520.1 | $x^{3} - x^{2} + 25 x - 53$ | $-\,2^{3}\cdot 5\cdot 23\cdot 31$ | $S_3$ (as 3T2) | $[13]$ |
3.1.29156.1 | $x^{3} - x^{2} + 16 x + 124$ | $-\,2^{2}\cdot 37\cdot 197$ | $S_3$ (as 3T2) | $[11]$ |
3.1.29727.3 | $x^{3} - 21 x - 76$ | $-\,3^{4}\cdot 367$ | $S_3$ (as 3T2) | $[15]$ |
3.1.29739.1 | $x^{3} - x^{2} + 19 x - 18$ | $-\,3\cdot 23\cdot 431$ | $S_3$ (as 3T2) | $[13]$ |
3.1.30459.1 | $x^{3} - x^{2} - x + 34$ | $-\,3\cdot 11\cdot 13\cdot 71$ | $S_3$ (as 3T2) | $[14]$ |
3.1.30772.1 | $x^{3} - x^{2} + 5 x - 69$ | $-\,2^{2}\cdot 7^{2}\cdot 157$ | $S_3$ (as 3T2) | $[18]$ |
3.1.31115.1 | $x^{3} - x^{2} + 19 x - 20$ | $-\,5\cdot 7^{2}\cdot 127$ | $S_3$ (as 3T2) | $[12]$ |
3.1.31219.1 | $x^{3} - x^{2} - 35 x + 200$ | $-\,31219$ | $S_3$ (as 3T2) | $[13]$ |
3.1.31423.1 | $x^{3} - x^{2} - 22 x - 72$ | $-\,7\cdot 67^{2}$ | $S_3$ (as 3T2) | $[15]$ |
3.1.31755.1 | $x^{3} - 18 x - 107$ | $-\,3\cdot 5\cdot 29\cdot 73$ | $S_3$ (as 3T2) | $[13]$ |
3.1.31908.3 | $x^{3} - x^{2} + 20 x - 14$ | $-\,2^{2}\cdot 3\cdot 2659$ | $S_3$ (as 3T2) | $[12]$ |
3.1.32168.1 | $x^{3} + 5 x - 138$ | $-\,2^{3}\cdot 4021$ | $S_3$ (as 3T2) | $[19]$ |
3.1.32251.1 | $x^{3} - x^{2} - 19 x + 54$ | $-\,32251$ | $S_3$ (as 3T2) | $[13]$ |