Learn more

Refine search


Results (1-50 of at least 1000)

Next   To download results, determine the number of results.
Label Polynomial Discriminant Galois group Class group
4.2.848.1 x4 - x2 - 2x + 1 \( -\,2^{4}\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.2597.1 x4 + 4x2 - x + 1 \( 7^{2}\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.3392.1 x4 - 2x3 - 6x + 17 \( 2^{6}\cdot 53 \) $D_{4}$ (as 4T3) trivial
4.0.4240.1 x4 - 5x2 - 6x + 18 \( 2^{4}\cdot 5\cdot 53 \) $D_{4}$ (as 4T3) trivial
4.0.5300.1 x4 - x3 + 4x + 4 \( 2^{2}\cdot 5^{2}\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.5724.1 x4 - x3 - 3x2 + 6 \( 2^{2}\cdot 3^{3}\cdot 53 \) $S_4$ (as 4T5) trivial
4.2.7155.1 x4 - x3 - 3 \( -\,3^{3}\cdot 5\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.7473.1 x4 + x2 - 3x + 3 \( 3\cdot 47\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.10865.1 x4 - x3 + 4x2 - 5x + 4 \( 5\cdot 41\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.11024.1 x4 - 2x3 - 11x2 + 12x + 40 \( 2^{4}\cdot 13\cdot 53 \) $D_{4}$ (as 4T3) trivial
4.0.11024.2 x4 - 2x3 - 7x2 + 8x + 41 \( 2^{4}\cdot 13\cdot 53 \) $D_{4}$ (as 4T3) trivial
4.2.11448.1 x4 - x3 - 3x2 + 8x - 8 \( -\,2^{3}\cdot 3^{3}\cdot 53 \) $S_4$ (as 4T5) trivial
4.2.13356.1 x4 - x3 - 7x2 + 7x - 2 \( -\,2^{2}\cdot 3^{2}\cdot 7\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.14416.1 x4 - 2x2 - 2x + 5 \( 2^{4}\cdot 17\cdot 53 \) $S_4$ (as 4T5) trivial
4.4.15317.1 x4 - 2x3 - 4x2 + 5x + 2 \( 17^{2}\cdot 53 \) $D_{4}$ (as 4T3) trivial
4.4.15529.1 x4 - x3 - 6x2 - x + 2 \( 53\cdot 293 \) $S_4$ (as 4T5) trivial
4.0.15529.2 x4 - x3 + 3x2 - 4x + 5 \( 53\cdot 293 \) $S_4$ (as 4T5) $[2]$
4.2.16271.1 x4 - x3 - 2x2 + 7x - 6 \( -\,53\cdot 307 \) $S_4$ (as 4T5) trivial
4.0.17172.1 x4 - x3 - 3x2 + 3x + 6 \( 2^{2}\cdot 3^{4}\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.20776.1 x4 - x3 + 11x2 - x + 22 \( 2^{3}\cdot 7^{2}\cdot 53 \) $D_{4}$ (as 4T3) $[2]$
4.0.21200.1 x4 + 6x2 - 6x + 2 \( 2^{4}\cdot 5^{2}\cdot 53 \) $S_4$ (as 4T5) $[2]$
4.2.21412.1 x4 - x3 - 3x2 + 7x + 4 \( -\,2^{2}\cdot 53\cdot 101 \) $S_4$ (as 4T5) trivial
4.4.22896.1 x4 - 9x2 - 4x + 3 \( 2^{4}\cdot 3^{3}\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.23373.1 x4 - 2x3 - 6x2 + 7x + 28 \( 3^{2}\cdot 7^{2}\cdot 53 \) $D_{4}$ (as 4T3) $[2]$
4.0.24645.1 x4 + 2x2 - 7x + 5 \( 3\cdot 5\cdot 31\cdot 53 \) $S_4$ (as 4T5) $[3]$
4.0.25228.1 x4 - x3 + 6x2 - 9x + 7 \( 2^{2}\cdot 7\cdot 17\cdot 53 \) $S_4$ (as 4T5) trivial
4.2.26871.1 x4 - 2x3 + 5x2 - 4x - 9 \( -\,3\cdot 13^{2}\cdot 53 \) $D_{4}$ (as 4T3) $[2]$
4.0.27136.1 x4 - 18x2 + 106 \( 2^{9}\cdot 53 \) $D_{4}$ (as 4T3) $[3]$
4.2.27560.1 x4 - 5x2 - 8x + 8 \( -\,2^{3}\cdot 5\cdot 13\cdot 53 \) $S_4$ (as 4T5) trivial
4.2.30263.1 x4 - x3 - 4x2 + 5x - 4 \( -\,53\cdot 571 \) $S_4$ (as 4T5) trivial
4.0.32065.1 x4 - x3 - 6x2 - x + 23 \( 5\cdot 11^{2}\cdot 53 \) $D_{4}$ (as 4T3) $[2]$
4.0.32701.1 x4 - x3 + 5x2 - 7x + 5 \( 53\cdot 617 \) $S_4$ (as 4T5) trivial
4.2.33072.1 x4 - 2x3 - 4x2 + 2x + 6 \( -\,2^{4}\cdot 3\cdot 13\cdot 53 \) $S_4$ (as 4T5) trivial
4.2.33867.1 x4 - 2x3 - 2x2 - 9x - 6 \( -\,3^{2}\cdot 53\cdot 71 \) $S_4$ (as 4T5) trivial
4.2.34291.1 x4 - 8x2 - 7x + 25 \( -\,53\cdot 647 \) $S_4$ (as 4T5) trivial
4.2.35563.1 x4 - 2x3 - 2x2 - 5x - 3 \( -\,11\cdot 53\cdot 61 \) $S_4$ (as 4T5) trivial
4.0.38160.2 x4 - 2x3 - 3x2 + 4x + 148 \( 2^{4}\cdot 3^{2}\cdot 5\cdot 53 \) $D_{4}$ (as 4T3) $[2]$
4.2.38531.1 x4 - 2x3 + 2x2 + x - 6 \( -\,53\cdot 727 \) $S_4$ (as 4T5) trivial
4.2.38796.1 x4 - x3 + x2 + 9x + 2 \( -\,2^{2}\cdot 3\cdot 53\cdot 61 \) $S_4$ (as 4T5) trivial
4.2.40492.1 x4 - 8x2 - 6x + 8 \( -\,2^{2}\cdot 53\cdot 191 \) $S_4$ (as 4T5) trivial
4.2.41287.1 x4 - x3 + 4x2 - 9x - 4 \( -\,19\cdot 41\cdot 53 \) $S_4$ (as 4T5) trivial
4.2.42188.1 x4 - x3 - 6x - 2 \( -\,2^{2}\cdot 53\cdot 199 \) $S_4$ (as 4T5) trivial
4.0.43248.1 x4 + 7x2 - 6x + 13 \( 2^{4}\cdot 3\cdot 17\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.44573.1 x4 - 2x3 + 8x2 - 7x + 5 \( 29^{2}\cdot 53 \) $D_{4}$ (as 4T3) trivial
4.2.45315.1 x4 - 2x3 - 2x2 - 9x + 15 \( -\,3^{2}\cdot 5\cdot 19\cdot 53 \) $S_4$ (as 4T5) trivial
4.2.45527.1 x4 - x3 - 2x2 - 7x + 5 \( -\,53\cdot 859 \) $S_4$ (as 4T5) trivial
4.2.45580.1 x4 - x3 - 6x2 + 4x - 2 \( -\,2^{2}\cdot 5\cdot 43\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.46004.1 x4 - x3 + 3x2 + 7x + 4 \( 2^{2}\cdot 7\cdot 31\cdot 53 \) $S_4$ (as 4T5) trivial
4.0.48336.1 x4 + 7x2 - 6x + 6 \( 2^{4}\cdot 3\cdot 19\cdot 53 \) $S_4$ (as 4T5) $[6]$
4.0.48389.1 x4 - x3 - 5x2 - x + 15 \( 11\cdot 53\cdot 83 \) $S_4$ (as 4T5) $[4]$
Next   To download results, determine the number of results.