Note: Search results may be incomplete. Given $p$-adic completions contain an unramified field and completions are only searched for ramified primes.

Note: Search results may be incomplete due to uncomputed quantities: local_algs (140954 objects)

Results (1-50 of at least 1000)

Label Polynomial Discriminant Galois group Class group
3.1.876.1 x3 - x2 - x - 11 $-\,2^{2}\cdot 3\cdot 73$ $S_3$ (as 3T2) trivial
3.3.1825.1 x3 - x2 - 8x + 7 $5^{2}\cdot 73$ $S_3$ (as 3T2) trivial
3.1.1971.1 x3 - 9x - 20 $-\,3^{3}\cdot 73$ $S_3$ (as 3T2) trivial
3.1.2555.1 x3 - x2 + 14x - 4 $-\,5\cdot 7\cdot 73$ $S_3$ (as 3T2) trivial
3.1.2920.1 x3 - x2 - 6x - 10 $-\,2^{3}\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial
3.3.2920.1 x3 - x2 - 15x - 5 $2^{3}\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial
3.3.2993.1 x3 - x2 - 12x + 17 $41\cdot 73$ $S_3$ (as 3T2) trivial
3.1.3212.1 x3 + 8x - 20 $-\,2^{2}\cdot 11\cdot 73$ $S_3$ (as 3T2) trivial
3.1.3431.1 x3 - x2 + 14x - 16 $-\,47\cdot 73$ $S_3$ (as 3T2) $[2]$
3.1.3723.1 x3 - x2 + x - 12 $-\,3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[4]$
3.1.3796.1 x3 - x2 + 8x + 6 $-\,2^{2}\cdot 13\cdot 73$ $S_3$ (as 3T2) trivial
3.1.4307.1 x3 - 4x - 13 $-\,59\cdot 73$ $S_3$ (as 3T2) trivial
3.1.5548.1 x3 + 4x - 14 $-\,2^{2}\cdot 19\cdot 73$ $S_3$ (as 3T2) $[2]$
3.3.5621.1 x3 - x2 - 21x - 28 $7\cdot 11\cdot 73$ $S_3$ (as 3T2) trivial
3.1.5767.1 x3 - x2 + 12x - 45 $-\,73\cdot 79$ $S_3$ (as 3T2) trivial
3.1.6132.1 x3 + 9x - 44 $-\,2^{2}\cdot 3\cdot 7\cdot 73$ $S_3$ (as 3T2) trivial
3.1.6643.1 x3 - x2 + 13x - 48 $-\,7\cdot 13\cdot 73$ $S_3$ (as 3T2) trivial
3.1.7300.1 x3 - x2 + 12x + 2 $-\,2^{2}\cdot 5^{2}\cdot 73$ $S_3$ (as 3T2) trivial
3.3.7665.1 x3 - x2 - 26x + 21 $3\cdot 5\cdot 7\cdot 73$ $S_3$ (as 3T2) trivial
3.1.7811.1 x3 - x2 + 3x + 16 $-\,73\cdot 107$ $S_3$ (as 3T2) trivial
3.1.7884.1 x3 - 18x - 34 $-\,2^{2}\cdot 3^{3}\cdot 73$ $S_3$ (as 3T2) $[3]$
3.1.7884.2 x3 + 12x - 6 $-\,2^{2}\cdot 3^{3}\cdot 73$ $S_3$ (as 3T2) $[3]$
3.1.8103.1 x3 - 9x - 53 $-\,3\cdot 37\cdot 73$ $S_3$ (as 3T2) trivial
3.1.8395.1 x3 - x2 - 5x + 20 $-\,5\cdot 23\cdot 73$ $S_3$ (as 3T2) $[7]$
3.1.8468.1 x3 - x2 + 12x + 28 $-\,2^{2}\cdot 29\cdot 73$ $S_3$ (as 3T2) trivial
3.3.8468.1 x3 - x2 - 27x - 43 $2^{2}\cdot 29\cdot 73$ $S_3$ (as 3T2) $[2]$
3.1.8687.1 x3 - x2 - 22x - 37 $-\,7\cdot 17\cdot 73$ $S_3$ (as 3T2) trivial
3.1.8760.1 x3 + 3x - 54 $-\,2^{3}\cdot 3\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial
3.1.8979.1 x3 - x2 + 25x - 36 $-\,3\cdot 41\cdot 73$ $S_3$ (as 3T2) trivial
3.3.9052.1 x3 - x2 - 23x + 31 $2^{2}\cdot 31\cdot 73$ $S_3$ (as 3T2) trivial
3.1.9271.1 x3 - x2 - 12x + 29 $-\,73\cdot 127$ $S_3$ (as 3T2) trivial
3.1.9563.1 x3 - 16x - 31 $-\,73\cdot 131$ $S_3$ (as 3T2) trivial
3.1.9855.1 x3 + 3x - 19 $-\,3^{3}\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial
3.1.9928.1 x3 - x2 - 8x + 80 $-\,2^{3}\cdot 17\cdot 73$ $S_3$ (as 3T2) trivial
3.1.10804.1 x3 + x - 20 $-\,2^{2}\cdot 37\cdot 73$ $S_3$ (as 3T2) trivial
3.1.11023.1 x3 - x2 - 6x + 63 $-\,73\cdot 151$ $S_3$ (as 3T2) trivial
3.1.11607.1 x3 - x2 + 30x - 9 $-\,3\cdot 53\cdot 73$ $S_3$ (as 3T2) $[2]$
3.1.11899.1 x3 - x2 + 3x + 20 $-\,73\cdot 163$ $S_3$ (as 3T2) trivial
3.1.11972.1 x3 - x2 + 8x - 22 $-\,2^{2}\cdot 41\cdot 73$ $S_3$ (as 3T2) trivial
3.1.12556.1 x3 - 8x - 44 $-\,2^{2}\cdot 43\cdot 73$ $S_3$ (as 3T2) trivial
3.1.13067.1 x3 - x - 44 $-\,73\cdot 179$ $S_3$ (as 3T2) trivial
3.1.13359.1 x3 - x2 - 6x - 21 $-\,3\cdot 61\cdot 73$ $S_3$ (as 3T2) $[2]$
3.3.14089.1 x3 - x2 - 22x + 41 $73\cdot 193$ $S_3$ (as 3T2) trivial
3.1.14235.1 x3 + 12x - 67 $-\,3\cdot 5\cdot 13\cdot 73$ $S_3$ (as 3T2) trivial
3.1.14308.1 x3 - x2 - 23x + 71 $-\,2^{2}\cdot 7^{2}\cdot 73$ $S_3$ (as 3T2) $[3]$
3.1.14819.1 x3 - x2 + 13x - 20 $-\,7\cdot 29\cdot 73$ $S_3$ (as 3T2) trivial
3.1.14892.1 x3 + 24x - 54 $-\,2^{2}\cdot 3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[3]$
3.1.14892.2 x3 - x2 - 23x - 75 $-\,2^{2}\cdot 3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[9]$
3.1.14892.3 x3 - x2 + 17x - 71 $-\,2^{2}\cdot 3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[3]$
3.1.15695.1 x3 - x2 + 30x + 27 $-\,5\cdot 43\cdot 73$ $S_3$ (as 3T2) trivial