Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
Refine search
Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
3.3.49.1 | $x^{3} - x^{2} - 2 x + 1$ | $7^{2}$ | $C_3$ (as 3T1) | trivial |
3.3.81.1 | $x^{3} - 3 x - 1$ | $3^{4}$ | $C_3$ (as 3T1) | trivial |
3.3.148.1 | $x^{3} - x^{2} - 3 x + 1$ | $2^{2}\cdot 37$ | $S_3$ (as 3T2) | trivial |
3.3.169.1 | $x^{3} - x^{2} - 4 x - 1$ | $13^{2}$ | $C_3$ (as 3T1) | trivial |
3.3.229.1 | $x^{3} - 4 x - 1$ | $229$ | $S_3$ (as 3T2) | trivial |
3.3.257.1 | $x^{3} - x^{2} - 4 x + 3$ | $257$ | $S_3$ (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 |
3.3.361.1 | $x^{3} - x^{2} - 6 x + 7$ | $19^{2}$ | $C_3$ (as 3T1) | trivial |
3.3.404.1 | $x^{3} - x^{2} - 5 x - 1$ | $2^{2}\cdot 101$ | $S_3$ (as 3T2) | trivial |
3.3.469.1 | $x^{3} - x^{2} - 5 x + 4$ | $7\cdot 67$ | $S_3$ (as 3T2) | trivial |
3.3.473.1 | $x^{3} - 5 x - 1$ | $11\cdot 43$ | $S_3$ (as 3T2) | trivial |
3.3.564.1 | $x^{3} - x^{2} - 5 x + 3$ | $2^{2}\cdot 3\cdot 47$ | $S_3$ (as 3T2) | trivial |
3.3.568.1 | $x^{3} - x^{2} - 6 x - 2$ | $2^{3}\cdot 71$ | $S_3$ (as 3T2) | trivial |
3.3.621.1 | $x^{3} - 6 x - 3$ | $3^{3}\cdot 23$ | $S_3$ (as 3T2) | trivial |
3.3.697.1 | $x^{3} - 7 x - 5$ | $17\cdot 41$ | $S_3$ (as 3T2) | trivial |
3.3.733.1 | $x^{3} - x^{2} - 7 x + 8$ | $733$ | $S_3$ (as 3T2) | trivial |
3.3.756.1 | $x^{3} - 6 x - 2$ | $2^{2}\cdot 3^{3}\cdot 7$ | $S_3$ (as 3T2) | trivial |
3.3.761.1 | $x^{3} - x^{2} - 6 x - 1$ | $761$ | $S_3$ (as 3T2) | trivial |
3.3.785.1 | $x^{3} - x^{2} - 6 x + 5$ | $5\cdot 157$ | $S_3$ (as 3T2) | trivial |
3.3.788.1 | $x^{3} - x^{2} - 7 x - 3$ | $2^{2}\cdot 197$ | $S_3$ (as 3T2) | trivial |
3.3.837.1 | $x^{3} - 6 x - 1$ | $3^{3}\cdot 31$ | $S_3$ (as 3T2) | trivial |
3.3.892.1 | $x^{3} - x^{2} - 8 x + 10$ | $2^{2}\cdot 223$ | $S_3$ (as 3T2) | trivial |
3.3.940.1 | $x^{3} - 7 x - 4$ | $2^{2}\cdot 5\cdot 47$ | $S_3$ (as 3T2) | trivial |
3.3.961.1 | $x^{3} - x^{2} - 10 x + 8$ | $31^{2}$ | $C_3$ (as 3T1) | trivial |
3.3.985.1 | $x^{3} - x^{2} - 6 x + 1$ | $5\cdot 197$ | $S_3$ (as 3T2) | trivial |
3.3.993.1 | $x^{3} - x^{2} - 6 x + 3$ | $3\cdot 331$ | $S_3$ (as 3T2) | trivial |
3.3.1016.1 | $x^{3} - x^{2} - 6 x + 2$ | $2^{3}\cdot 127$ | $S_3$ (as 3T2) | trivial |
3.3.1076.1 | $x^{3} - 8 x - 6$ | $2^{2}\cdot 269$ | $S_3$ (as 3T2) | trivial |
3.3.1101.1 | $x^{3} - x^{2} - 9 x + 12$ | $3\cdot 367$ | $S_3$ (as 3T2) | trivial |
3.3.1129.1 | $x^{3} - 7 x - 3$ | $1129$ | $S_3$ (as 3T2) | trivial |
3.3.1229.1 | $x^{3} - x^{2} - 7 x + 6$ | $1229$ | $S_3$ (as 3T2) | trivial |
3.3.1257.1 | $x^{3} - x^{2} - 8 x + 9$ | $3\cdot 419$ | $S_3$ (as 3T2) | trivial |
3.3.1300.1 | $x^{3} - 10 x - 10$ | $2^{2}\cdot 5^{2}\cdot 13$ | $S_3$ (as 3T2) | trivial |
3.3.1304.1 | $x^{3} - 11 x - 2$ | $2^{3}\cdot 163$ | $S_3$ (as 3T2) | trivial |
3.3.1345.1 | $x^{3} - 7 x - 1$ | $5\cdot 269$ | $S_3$ (as 3T2) | trivial |
3.3.1369.1 | $x^{3} - x^{2} - 12 x - 11$ | $37^{2}$ | $C_3$ (as 3T1) | trivial |
3.3.1373.1 | $x^{3} - 8 x - 5$ | $1373$ | $S_3$ (as 3T2) | trivial |
3.3.1384.1 | $x^{3} - x^{2} - 10 x + 14$ | $2^{3}\cdot 173$ | $S_3$ (as 3T2) | trivial |
3.3.1396.1 | $x^{3} - x^{2} - 7 x + 5$ | $2^{2}\cdot 349$ | $S_3$ (as 3T2) | trivial |
3.3.1425.1 | $x^{3} - x^{2} - 8 x - 3$ | $3\cdot 5^{2}\cdot 19$ | $S_3$ (as 3T2) | trivial |
3.3.1436.1 | $x^{3} - 11 x - 12$ | $2^{2}\cdot 359$ | $S_3$ (as 3T2) | trivial |
3.3.1489.1 | $x^{3} - x^{2} - 10 x - 7$ | $1489$ | $S_3$ (as 3T2) | trivial |
3.3.1492.1 | $x^{3} - x^{2} - 9 x - 5$ | $2^{2}\cdot 373$ | $S_3$ (as 3T2) | trivial |
3.3.1509.1 | $x^{3} - x^{2} - 7 x + 4$ | $3\cdot 503$ | $S_3$ (as 3T2) | trivial |
3.3.1524.1 | $x^{3} - x^{2} - 7 x + 1$ | $2^{2}\cdot 3\cdot 127$ | $S_3$ (as 3T2) | trivial |
3.3.1556.1 | $x^{3} - x^{2} - 9 x + 11$ | $2^{2}\cdot 389$ | $S_3$ (as 3T2) | trivial |
3.3.1573.1 | $x^{3} - x^{2} - 7 x + 2$ | $11^{2}\cdot 13$ | $S_3$ (as 3T2) | trivial |
3.3.1593.1 | $x^{3} - 9 x - 7$ | $3^{3}\cdot 59$ | $S_3$ (as 3T2) | trivial |
3.3.1620.1 | $x^{3} - 12 x - 14$ | $2^{2}\cdot 3^{4}\cdot 5$ | $S_3$ (as 3T2) | trivial |