Learn more about

Further refine search

Results (displaying all 38 matches)

Label Polynomial Discriminant Galois group Class group
2.0.3.1 x2 - x + 1 \( -\,3 \) $C_2$ Trivial
2.0.4.1 x2 + 1 \( -\,2^{2} \) $C_2$ Trivial
2.0.7.1 x2 - x + 2 \( -\,7 \) $C_2$ Trivial
2.0.8.1 x2 + 2 \( -\,2^{3} \) $C_2$ Trivial
2.0.11.1 x2 - x + 3 \( -\,11 \) $C_2$ Trivial
2.0.15.1 x2 - x + 4 \( -\,3\cdot 5 \) $C_2$ $[2]$
2.0.19.1 x2 - x + 5 \( -\,19 \) $C_2$ Trivial
2.0.20.1 x2 + 5 \( -\,2^{2}\cdot 5 \) $C_2$ $[2]$
2.0.23.1 x2 - x + 6 \( -\,23 \) $C_2$ $[3]$
2.0.24.1 x2 + 6 \( -\,2^{3}\cdot 3 \) $C_2$ $[2]$
2.0.31.1 x2 - x + 8 \( -\,31 \) $C_2$ $[3]$
2.0.35.1 x2 - x + 9 \( -\,5\cdot 7 \) $C_2$ $[2]$
2.0.39.1 x2 - x + 10 \( -\,3\cdot 13 \) $C_2$ $[4]$
2.0.40.1 x2 + 10 \( -\,2^{3}\cdot 5 \) $C_2$ $[2]$
2.0.43.1 x2 - x + 11 \( -\,43 \) $C_2$ Trivial
2.0.47.1 x2 - x + 12 \( -\,47 \) $C_2$ $[5]$
2.0.51.1 x2 - x + 13 \( -\,3\cdot 17 \) $C_2$ $[2]$
2.0.52.1 x2 + 13 \( -\,2^{2}\cdot 13 \) $C_2$ $[2]$
2.0.55.1 x2 - x + 14 \( -\,5\cdot 11 \) $C_2$ $[4]$
2.0.56.1 x2 + 14 \( -\,2^{3}\cdot 7 \) $C_2$ $[4]$
2.0.59.1 x2 - x + 15 \( -\,59 \) $C_2$ $[3]$
2.0.67.1 x2 - x + 17 \( -\,67 \) $C_2$ Trivial
2.0.68.1 x2 + 17 \( -\,2^{2}\cdot 17 \) $C_2$ $[4]$
2.0.71.1 x2 - x + 18 \( -\,71 \) $C_2$ $[7]$
2.0.79.1 x2 - x + 20 \( -\,79 \) $C_2$ $[5]$
2.0.83.1 x2 - x + 21 \( -\,83 \) $C_2$ $[3]$
2.0.84.1 x2 + 21 \( -\,2^{2}\cdot 3\cdot 7 \) $C_2$ $[2, 2]$
2.0.87.1 x2 - x + 22 \( -\,3\cdot 29 \) $C_2$ $[6]$
2.0.88.1 x2 + 22 \( -\,2^{3}\cdot 11 \) $C_2$ $[2]$
2.0.91.1 x2 - x + 23 \( -\,7\cdot 13 \) $C_2$ $[2]$
2.0.95.1 x2 - x + 24 \( -\,5\cdot 19 \) $C_2$ $[8]$
3.1.23.1 x3 - x2 + 1 \( -\,23 \) $S_3$ Trivial
3.1.31.1 x3 + x - 1 \( -\,31 \) $S_3$ Trivial
3.1.44.1 x3 - x2 + x + 1 \( -\,2^{2}\cdot 11 \) $S_3$ Trivial
3.1.59.1 x3 + 2x - 1 \( -\,59 \) $S_3$ Trivial
3.1.76.1 x3 - 2x - 2 \( -\,2^{2}\cdot 19 \) $S_3$ Trivial
3.1.83.1 x3 - x2 + x - 2 \( -\,83 \) $S_3$ Trivial
3.1.87.1 x3 - x2 + 2x + 1 \( -\,3\cdot 29 \) $S_3$ Trivial



Download all search results for