Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
x4 + x2 - 3x + 5 7 1 4 0 $C_4$ (as 4T1) $[\ ]^{4}$
x4 + 35x2 + 441 7 2 2 2 $C_2^2$ (as 4T2) $[\ ]_{2}^{2}$
x4 - 7x2 + 147 7 2 2 2 $C_4$ (as 4T1) $[\ ]_{2}^{2}$
x4 + 14 7 4 1 3 $D_{4}$ (as 4T3) $[\ ]_{4}^{2}$
x4 - 7 7 4 1 3 $D_{4}$ (as 4T3) $[\ ]_{4}^{2}$