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 |
---|---|---|---|---|
3.1.23.1 | $x^{3} - x^{2} + 1$ | $-\,23$ | $S_3$ (as 3T2) | trivial |
3.1.31.1 | $x^{3} + x - 1$ | $-\,31$ | $S_3$ (as 3T2) | trivial |
3.1.44.1 | $x^{3} - x^{2} + x + 1$ | $-\,2^{2}\cdot 11$ | $S_3$ (as 3T2) | trivial |
3.3.49.1 | $x^{3} - x^{2} - 2 x + 1$ | $7^{2}$ | $C_3$ (as 3T1) | trivial |
3.1.59.1 | $x^{3} + 2 x - 1$ | $-\,59$ | $S_3$ (as 3T2) | trivial |
3.1.76.1 | $x^{3} - 2 x - 2$ | $-\,2^{2}\cdot 19$ | $S_3$ (as 3T2) | trivial |
3.3.81.1 | $x^{3} - 3 x - 1$ | $3^{4}$ | $C_3$ (as 3T1) | trivial |
3.1.83.1 | $x^{3} - x^{2} + x - 2$ | $-\,83$ | $S_3$ (as 3T2) | trivial |
3.1.87.1 | $x^{3} - x^{2} + 2 x + 1$ | $-\,3\cdot 29$ | $S_3$ (as 3T2) | trivial |
3.1.104.1 | $x^{3} - x - 2$ | $-\,2^{3}\cdot 13$ | $S_3$ (as 3T2) | trivial |
3.1.107.1 | $x^{3} - x^{2} + 3 x - 2$ | $-\,107$ | $S_3$ (as 3T2) | trivial |
3.1.108.1 | $x^{3} - 2$ | $-\,2^{2}\cdot 3^{3}$ | $S_3$ (as 3T2) | trivial |
3.1.116.1 | $x^{3} - x^{2} - 2$ | $-\,2^{2}\cdot 29$ | $S_3$ (as 3T2) | trivial |
3.1.135.1 | $x^{3} + 3 x - 1$ | $-\,3^{3}\cdot 5$ | $S_3$ (as 3T2) | trivial |
3.1.139.1 | $x^{3} - x^{2} + x + 2$ | $-\,139$ | $S_3$ (as 3T2) | trivial |
3.1.140.1 | $x^{3} + 2 x - 2$ | $-\,2^{2}\cdot 5\cdot 7$ | $S_3$ (as 3T2) | trivial |
3.3.148.1 | $x^{3} - x^{2} - 3 x + 1$ | $2^{2}\cdot 37$ | $S_3$ (as 3T2) | trivial |
3.1.152.1 | $x^{3} - x^{2} - 2 x - 2$ | $-\,2^{3}\cdot 19$ | $S_3$ (as 3T2) | trivial |
3.3.169.1 | $x^{3} - x^{2} - 4 x - 1$ | $13^{2}$ | $C_3$ (as 3T1) | trivial |
3.1.172.1 | $x^{3} - x^{2} - x + 3$ | $-\,2^{2}\cdot 43$ | $S_3$ (as 3T2) | trivial |
3.1.175.1 | $x^{3} - x^{2} + 2 x - 3$ | $-\,5^{2}\cdot 7$ | $S_3$ (as 3T2) | trivial |
3.1.199.1 | $x^{3} - x^{2} + 4 x - 1$ | $-\,199$ | $S_3$ (as 3T2) | trivial |
3.1.200.1 | $x^{3} - x^{2} + 2 x + 2$ | $-\,2^{3}\cdot 5^{2}$ | $S_3$ (as 3T2) | trivial |
3.1.204.1 | $x^{3} - x^{2} + x - 3$ | $-\,2^{2}\cdot 3\cdot 17$ | $S_3$ (as 3T2) | trivial |
3.1.211.1 | $x^{3} - 2 x - 3$ | $-\,211$ | $S_3$ (as 3T2) | trivial |
3.1.212.1 | $x^{3} - x^{2} + 4 x - 2$ | $-\,2^{2}\cdot 53$ | $S_3$ (as 3T2) | trivial |
3.1.216.1 | $x^{3} + 3 x - 2$ | $-\,2^{3}\cdot 3^{3}$ | $S_3$ (as 3T2) | trivial |
3.3.229.1 | $x^{3} - 4 x - 1$ | $229$ | $S_3$ (as 3T2) | trivial |
3.1.231.1 | $x^{3} - x^{2} + 3$ | $-\,3\cdot 7\cdot 11$ | $S_3$ (as 3T2) | trivial |
3.1.239.1 | $x^{3} - x - 3$ | $-\,239$ | $S_3$ (as 3T2) | trivial |
3.1.243.1 | $x^{3} - 3$ | $-\,3^{5}$ | $S_3$ (as 3T2) | trivial |
3.1.244.1 | $x^{3} + x - 6$ | $-\,2^{2}\cdot 61$ | $S_3$ (as 3T2) | trivial |
3.1.247.1 | $x^{3} + x - 3$ | $-\,13\cdot 19$ | $S_3$ (as 3T2) | trivial |
3.1.255.1 | $x^{3} - x^{2} - 3$ | $-\,3\cdot 5\cdot 17$ | $S_3$ (as 3T2) | trivial |
3.3.257.1 | $x^{3} - x^{2} - 4 x + 3$ | $257$ | $S_3$ (as 3T2) | trivial |
3.1.268.1 | $x^{3} - x^{2} - 3 x + 5$ | $-\,2^{2}\cdot 67$ | $S_3$ (as 3T2) | trivial |
3.1.283.1 | $x^{3} + 4 x - 1$ | $-\,283$ | $S_3$ (as 3T2) | $[2]$ |
3.1.300.1 | $x^{3} - x^{2} - 3 x - 3$ | $-\,2^{2}\cdot 3\cdot 5^{2}$ | $S_3$ (as 3T2) | trivial |
3.1.307.1 | $x^{3} - x^{2} + 3 x + 2$ | $-\,307$ | $S_3$ (as 3T2) | trivial |
3.3.316.1 | $x^{3} - x^{2} - 4 x + 2$ | $2^{2}\cdot 79$ | $S_3$ (as 3T2) | trivial |
3.3.321.1 | $x^{3} - x^{2} - 4 x + 1$ | $3\cdot 107$ | $S_3$ (as 3T2) | trivial |
3.1.324.1 | $x^{3} - 3 x - 4$ | $-\,2^{2}\cdot 3^{4}$ | $S_3$ (as 3T2) | trivial |
3.1.327.1 | $x^{3} - x^{2} - 2 x - 3$ | $-\,3\cdot 109$ | $S_3$ (as 3T2) | trivial |
3.1.331.1 | $x^{3} - x^{2} + 3 x - 4$ | $-\,331$ | $S_3$ (as 3T2) | $[2]$ |
3.1.335.1 | $x^{3} - x^{2} + 4 x + 1$ | $-\,5\cdot 67$ | $S_3$ (as 3T2) | trivial |
3.1.339.1 | $x^{3} - x^{2} - x + 4$ | $-\,3\cdot 113$ | $S_3$ (as 3T2) | trivial |
3.1.351.1 | $x^{3} + 3 x - 3$ | $-\,3^{3}\cdot 13$ | $S_3$ (as 3T2) | trivial |
3.1.356.1 | $x^{3} - x^{2} + x + 7$ | $-\,2^{2}\cdot 89$ | $S_3$ (as 3T2) | trivial |
3.3.361.1 | $x^{3} - x^{2} - 6 x + 7$ | $19^{2}$ | $C_3$ (as 3T1) | trivial |
3.1.364.1 | $x^{3} + 4 x - 2$ | $-\,2^{2}\cdot 7\cdot 13$ | $S_3$ (as 3T2) | trivial |