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Degree	Residue characteristic	Galois group	Galois unramified degree	Assoc. Inertia

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Residue field degree	Top slope	Wild	Visible	Wild inertia subgroup

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Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
3.9.19.1	$9$	$x^{9} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$S_3^2$ (as 9T8)	$2$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}^{2}$	$t + 1$	$x^{9} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 3$	$[11, 6, 0]$	$[1, 2]$
3.9.19.10	$9$	$x^{9} + 15 x^{6} + 18 x^{5} + 24 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 15 x^{6} + 18 x^{5} + 24 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.11	$9$	$x^{9} + 21 x^{6} + 18 x^{5} + 24 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 21 x^{6} + 18 x^{5} + 24 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.12	$9$	$x^{9} + 9 x^{6} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.13	$9$	$x^{9} + 18 x^{6} + 9 x^{5} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{5} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.14	$9$	$x^{9} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.15	$9$	$x^{9} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.16	$9$	$x^{9} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.17	$9$	$x^{9} + 9 x^{6} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.18	$9$	$x^{9} + 18 x^{6} + 18 x^{5} + 18 x^{4} + 24 x^{3} + 9 x^{2} + 12$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 18 x^{5} + 18 x^{4} + 24 x^{3} + 9 x^{2} + 12$	$[11, 3, 0]$	$[1, 1]$
3.9.19.19	$9$	$x^{9} + 18 x^{5} + 9 x^{4} + 6 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 9 x^{4} + 6 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.2	$9$	$x^{9} + 3 x^{6} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$S_3^2$ (as 9T8)	$2$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}^{2}$	$t + 1$	$x^{9} + 3 x^{6} + 9 x^{2} + 3$	$[11, 6, 0]$	$[1, 2]$
3.9.19.20	$9$	$x^{9} + 6 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 6 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.21	$9$	$x^{9} + 9 x^{6} + 9 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.22	$9$	$x^{9} + 9 x^{6} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.23	$9$	$x^{9} + 3 x^{6} + 18 x^{4} + 24 x^{3} + 9 x^{2} + 12$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 3 x^{6} + 18 x^{4} + 24 x^{3} + 9 x^{2} + 12$	$[11, 3, 0]$	$[1, 1]$
3.9.19.24	$9$	$x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.25	$9$	$x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.26	$9$	$x^{9} + 18 x^{6} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.27	$9$	$x^{9} + 15 x^{6} + 9 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 15 x^{6} + 9 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.28	$9$	$x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.29	$9$	$x^{9} + 12 x^{6} + 24 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 12 x^{6} + 24 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.3	$9$	$x^{9} + 3 x^{6} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$S_3^2$ (as 9T8)	$2$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}^{2}$	$t + 1$	$x^{9} + 3 x^{6} + 9 x^{2} + 21$	$[11, 6, 0]$	$[1, 2]$
3.9.19.30	$9$	$x^{9} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.31	$9$	$x^{9} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.32	$9$	$x^{9} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.33	$9$	$x^{9} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.34	$9$	$x^{9} + 18 x^{6} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{5} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.35	$9$	$x^{9} + 6 x^{6} + 9 x^{5} + 24 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 9 x^{5} + 24 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.36	$9$	$x^{9} + 9 x^{6} + 6 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$C_3 \wr S_3 $ (as 9T20)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 6 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.37	$9$	$x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[2, 1]$
3.9.19.38	$9$	$x^{9} + 3 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 3 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[2, 1]$
3.9.19.39	$9$	$x^{9} + 18 x^{5} + 12 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 18 x^{5} + 12 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[2, 1]$
3.9.19.4	$9$	$x^{9} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$(C_3^2:C_8):C_2$ (as 9T19)	$2$	$8$	$[19/8, 19/8]$	$[19/8, 19/8]_{8}^{2}$	$t + 1$	$x^{9} + 9 x^{2} + 3$	$[11, 9, 0]$	$[1]$
3.9.19.40	$9$	$x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[2, 1]$
3.9.19.41	$9$	$x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 21 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 21 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[2, 1]$
3.9.19.42	$9$	$x^{9} + 18 x^{5} + 9 x^{4} + 3 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 18 x^{5} + 9 x^{4} + 3 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[2, 1]$
3.9.19.43	$9$	$x^{9} + 18 x^{5} + 12 x^{3} + 9 x^{2} + 3$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 18 x^{5} + 12 x^{3} + 9 x^{2} + 3$	$[11, 3, 0]$	$[2, 1]$
3.9.19.44	$9$	$x^{9} + 18 x^{5} + 21 x^{3} + 9 x^{2} + 12$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 18 x^{5} + 21 x^{3} + 9 x^{2} + 12$	$[11, 3, 0]$	$[2, 1]$
3.9.19.45	$9$	$x^{9} + 3 x^{3} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$((C_3^3:C_3):C_2):C_2$ (as 9T24)	$2$	$2$	$[3/2, 8/3]$	$[3/2, 2, 5/2, 8/3]_{2}^{2}$	$t + 1$	$x^{9} + 3 x^{3} + 9 x^{2} + 21$	$[11, 3, 0]$	$[2, 1]$
3.9.19.46	$9$	$x^{9} + 6 x^{6} + 18 x^{4} + 18 x^{2} + 12$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 18 x^{4} + 18 x^{2} + 12$	$[11, 6, 0]$	$[1, 1]$
3.9.19.47	$9$	$x^{9} + 6 x^{6} + 18 x^{4} + 18 x^{2} + 3$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 18 x^{4} + 18 x^{2} + 3$	$[11, 6, 0]$	$[1, 1]$
3.9.19.48	$9$	$x^{9} + 6 x^{6} + 18 x^{4} + 18 x^{2} + 21$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 18 x^{4} + 18 x^{2} + 21$	$[11, 6, 0]$	$[1, 1]$
3.9.19.49	$9$	$x^{9} + 6 x^{6} + 18 x^{2} + 12$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 18 x^{2} + 12$	$[11, 6, 0]$	$[1, 1]$
3.9.19.5	$9$	$x^{9} + 9 x^{2} + 21$	$3$	$9$	$1$	$19$	$(C_3^2:C_8):C_2$ (as 9T19)	$2$	$8$	$[19/8, 19/8]$	$[19/8, 19/8]_{8}^{2}$	$t + 1$	$x^{9} + 9 x^{2} + 21$	$[11, 9, 0]$	$[1]$
3.9.19.50	$9$	$x^{9} + 6 x^{6} + 18 x^{2} + 21$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 18 x^{2} + 21$	$[11, 6, 0]$	$[1, 1]$
3.9.19.51	$9$	$x^{9} + 6 x^{6} + 9 x^{4} + 18 x^{2} + 21$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 9 x^{4} + 18 x^{2} + 21$	$[11, 6, 0]$	$[1, 1]$
3.9.19.52	$9$	$x^{9} + 6 x^{6} + 18 x^{2} + 3$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 18 x^{2} + 3$	$[11, 6, 0]$	$[1, 1]$
3.9.19.53	$9$	$x^{9} + 6 x^{6} + 9 x^{4} + 18 x^{2} + 3$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 9 x^{4} + 18 x^{2} + 3$	$[11, 6, 0]$	$[1, 1]$
3.9.19.54	$9$	$x^{9} + 6 x^{6} + 9 x^{4} + 18 x^{2} + 12$	$3$	$9$	$1$	$19$	$S_3\times C_3$ (as 9T4)	$1$	$2$	$[2, 5/2]$	$[2, 5/2]_{2}$	$t + 1$	$x^{9} + 6 x^{6} + 9 x^{4} + 18 x^{2} + 12$	$[11, 6, 0]$	$[1, 1]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.