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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) $[3, 3]$
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