## Results (1-50 of at least 1000)

Label Polynomial Discriminant Galois group Class group
3.3.81.1 x3 - 3x - 1 $$3^{4}$$ $C_3$ (as 3T1) trivial
3.1.2835.1 x3 - 12x - 19 $$-\,3^{4}\cdot 5\cdot 7$$ $S_3$ (as 3T2) $[3]$
3.1.3564.2 x3 + 6x - 10 $$-\,2^{2}\cdot 3^{4}\cdot 11$$ $S_3$ (as 3T2) $[3]$
3.1.3807.1 x3 + 15x - 8 $$-\,3^{4}\cdot 47$$ $S_3$ (as 3T2) $[3]$
3.1.4536.1 x3 - 3x - 26 $$-\,2^{3}\cdot 3^{4}\cdot 7$$ $S_3$ (as 3T2) $[3]$
3.1.8667.2 x3 + 6x - 17 $$-\,3^{4}\cdot 107$$ $S_3$ (as 3T2) $[3]$
3.1.13284.1 x3 + 6x - 44 $$-\,2^{2}\cdot 3^{4}\cdot 41$$ $S_3$ (as 3T2) $[9]$
3.1.16200.2 x3 - 30x - 80 $$-\,2^{3}\cdot 3^{4}\cdot 5^{2}$$ $S_3$ (as 3T2) $[3]$
3.1.18387.1 x3 - 21x - 64 $$-\,3^{4}\cdot 227$$ $S_3$ (as 3T2) $[3]$
3.1.19116.2 x3 + 24x - 28 $$-\,2^{2}\cdot 3^{4}\cdot 59$$ $S_3$ (as 3T2) $[3]$
3.3.20493.1 x3 - 36x - 9 $$3^{4}\cdot 11\cdot 23$$ $S_3$ (as 3T2) $[3]$
3.1.21060.1 x3 - 3x - 28 $$-\,2^{2}\cdot 3^{4}\cdot 5\cdot 13$$ $S_3$ (as 3T2) $[3]$
3.3.21708.1 x3 - 30x - 28 $$2^{2}\cdot 3^{4}\cdot 67$$ $S_3$ (as 3T2) $[3]$
3.1.23247.1 x3 + 15x - 19 $$-\,3^{4}\cdot 7\cdot 41$$ $S_3$ (as 3T2) $[3]$
3.1.23976.1 x3 - 9x - 90 $$-\,2^{3}\cdot 3^{4}\cdot 37$$ $S_3$ (as 3T2) $[3]$
3.1.25191.1 x3 + 33x - 98 $$-\,3^{4}\cdot 311$$ $S_3$ (as 3T2) $[18]$
3.1.26163.1 x3 - 12x - 35 $$-\,3^{4}\cdot 17\cdot 19$$ $S_3$ (as 3T2) $[3]$
3.3.26325.1 x3 - 30x - 55 $$3^{4}\cdot 5^{2}\cdot 13$$ $S_3$ (as 3T2) $[3]$
3.1.26892.3 x3 + 18x - 90 $$-\,2^{2}\cdot 3^{4}\cdot 83$$ $S_3$ (as 3T2) $[3]$
3.1.27864.1 x3 + 6x - 64 $$-\,2^{3}\cdot 3^{4}\cdot 43$$ $S_3$ (as 3T2) $[9]$
3.3.32157.1 x3 - 30x - 53 $$3^{4}\cdot 397$$ $S_3$ (as 3T2) $[3]$
3.1.32724.1 x3 - 39x - 100 $$-\,2^{2}\cdot 3^{4}\cdot 101$$ $S_3$ (as 3T2) $[6]$
3.3.33372.1 x3 - 39x - 62 $$2^{2}\cdot 3^{4}\cdot 103$$ $S_3$ (as 3T2) $[3]$
3.1.33939.2 x3 - 39x - 170 $$-\,3^{4}\cdot 419$$ $S_3$ (as 3T2) $[3]$
3.3.34344.1 x3 - 21x - 10 $$2^{3}\cdot 3^{4}\cdot 53$$ $S_3$ (as 3T2) $[3]$
3.1.36612.1 x3 + 33x - 10 $$-\,2^{2}\cdot 3^{4}\cdot 113$$ $S_3$ (as 3T2) $[3]$
3.1.37827.1 x3 + 6x - 37 $$-\,3^{4}\cdot 467$$ $S_3$ (as 3T2) $[3]$
3.1.40743.3 x3 + 45x - 9 $$-\,3^{4}\cdot 503$$ $S_3$ (as 3T2) $[3]$
3.3.40905.1 x3 - 57x - 161 $$3^{4}\cdot 5\cdot 101$$ $S_3$ (as 3T2) $[3]$
3.1.42444.2 x3 - 36x - 252 $$-\,2^{2}\cdot 3^{4}\cdot 131$$ $S_3$ (as 3T2) $[3]$
3.3.45036.1 x3 - 39x - 46 $$2^{2}\cdot 3^{4}\cdot 139$$ $S_3$ (as 3T2) $[3]$
3.1.46575.3 x3 + 15x - 35 $$-\,3^{4}\cdot 5^{2}\cdot 23$$ $S_3$ (as 3T2) $[3]$
3.1.47547.1 x3 - 9x - 252 $$-\,3^{4}\cdot 587$$ $S_3$ (as 3T2) $[9]$
3.1.48276.1 x3 + 18x - 252 $$-\,2^{2}\cdot 3^{4}\cdot 149$$ $S_3$ (as 3T2) $[3]$
3.1.48519.1 x3 + 33x - 199 $$-\,3^{4}\cdot 599$$ $S_3$ (as 3T2) $[3]$
3.1.49491.1 x3 - 36x - 153 $$-\,3^{4}\cdot 13\cdot 47$$ $S_3$ (as 3T2) $[3]$
3.1.50220.2 x3 - 12x - 46 $$-\,2^{2}\cdot 3^{4}\cdot 5\cdot 31$$ $S_3$ (as 3T2) $[3]$
3.1.51192.1 x3 + 45x - 234 $$-\,2^{3}\cdot 3^{4}\cdot 79$$ $S_3$ (as 3T2) $[3]$
3.1.51435.1 x3 + 60x - 125 $$-\,3^{4}\cdot 5\cdot 127$$ $S_3$ (as 3T2) $[6]$
3.1.53379.1 x3 - 57x - 188 $$-\,3^{4}\cdot 659$$ $S_3$ (as 3T2) $[9]$
3.1.55323.1 x3 + 24x - 1 $$-\,3^{4}\cdot 683$$ $S_3$ (as 3T2) $[18]$
3.1.56052.1 x3 + 45x - 72 $$-\,2^{2}\cdot 3^{4}\cdot 173$$ $S_3$ (as 3T2) $[6]$
3.3.60345.1 x3 - 57x - 136 $$3^{4}\cdot 5\cdot 149$$ $S_3$ (as 3T2) $[3]$
3.1.65772.1 x3 - 12x - 100 $$-\,2^{2}\cdot 3^{4}\cdot 7\cdot 29$$ $S_3$ (as 3T2) $[3]$
3.3.66420.1 x3 - 48x - 118 $$2^{2}\cdot 3^{4}\cdot 5\cdot 41$$ $S_3$ (as 3T2) $[3]$
3.1.66987.1 x3 - 36x - 171 $$-\,3^{4}\cdot 827$$ $S_3$ (as 3T2) $[9]$
3.1.69903.3 x3 - 9x - 153 $$-\,3^{4}\cdot 863$$ $S_3$ (as 3T2) $[3]$
3.1.70632.1 x3 + 15x - 46 $$-\,2^{3}\cdot 3^{4}\cdot 109$$ $S_3$ (as 3T2) $[3]$
3.1.72819.1 x3 + 18x - 153 $$-\,3^{4}\cdot 29\cdot 31$$ $S_3$ (as 3T2) $[3]$
3.1.73548.1 x3 - 30x - 82 $$-\,2^{2}\cdot 3^{4}\cdot 227$$ $S_3$ (as 3T2) $[3, 3]$