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Degree	Residue characteristic	Galois group	Galois unramified degree	Assoc. Inertia

Ramification index	Discriminant exponent	Inertia subgroup	Galois tame degree	Indices

Residue field degree	Top slope	Wild	Visible	Wild inertia subgroup

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Results (36 matches)

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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
3.9.19.61	$9$	$x^{9} + 9 x^{5} + 12 x^{3} + 18 x^{2} + 3$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{5} + 12 x^{3} + 18 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.62	$9$	$x^{9} + 18 x^{4} + 3 x^{3} + 18 x^{2} + 21$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{4} + 3 x^{3} + 18 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.63	$9$	$x^{9} + 18 x^{5} + 21 x^{3} + 18 x^{2} + 21$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 21 x^{3} + 18 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.64	$9$	$x^{9} + 18 x^{6} + 18 x^{5} + 21 x^{3} + 18 x^{2} + 21$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 18 x^{5} + 21 x^{3} + 18 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.19.65	$9$	$x^{9} + 9 x^{6} + 18 x^{4} + 12 x^{3} + 18 x^{2} + 3$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{4} + 12 x^{3} + 18 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.66	$9$	$x^{9} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 3$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.67	$9$	$x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 3 x^{3} + 18 x^{2} + 12$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 3 x^{3} + 18 x^{2} + 12$	$[11, 3, 0]$	$[1, 1]$
3.9.19.68	$9$	$x^{9} + 18 x^{6} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 3$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 3$	$[11, 3, 0]$	$[1, 1]$
3.9.19.69	$9$	$x^{9} + 9 x^{5} + 9 x^{4} + 12 x^{3} + 18 x^{2} + 21$	$3$	$9$	$1$	$19$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[3/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{5} + 9 x^{4} + 12 x^{3} + 18 x^{2} + 21$	$[11, 3, 0]$	$[1, 1]$
3.9.21.28	$9$	$x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.29	$9$	$x^{9} + 9 x^{6} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.30	$9$	$x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.31	$9$	$x^{9} + 9 x^{6} + 9 x^{4} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{4} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.32	$9$	$x^{9} + 9 x^{5} + 9 x^{4} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{5} + 9 x^{4} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.33	$9$	$x^{9} + 18 x^{6} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.34	$9$	$x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.35	$9$	$x^{9} + 9 x^{4} + 18 x^{3} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{4} + 18 x^{3} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.36	$9$	$x^{9} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.37	$9$	$x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.38	$9$	$x^{9} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.39	$9$	$x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.40	$9$	$x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.41	$9$	$x^{9} + 18 x^{5} + 9 x^{4} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 9 x^{4} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.42	$9$	$x^{9} + 9 x^{4} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{4} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.43	$9$	$x^{9} + 18 x^{5} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.44	$9$	$x^{9} + 9 x^{4} + 9 x^{3} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{4} + 9 x^{3} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.45	$9$	$x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.46	$9$	$x^{9} + 9 x^{5} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{5} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.47	$9$	$x^{9} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.48	$9$	$x^{9} + 18 x^{6} + 9 x^{4} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{4} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.49	$9$	$x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.50	$9$	$x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.51	$9$	$x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 21$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 21$	$[13, 9, 0]$	$[1, 1]$
3.9.21.52	$9$	$x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.53	$9$	$x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 3$	$[13, 9, 0]$	$[1, 1]$
3.9.21.54	$9$	$x^{9} + 9 x^{6} + 9 x^{4} + 9 x^{3} + 3$	$3$	$9$	$1$	$21$	$(C_3^2:C_3):C_2$ (as 9T12)	$1$	$2$	$[5/2, 8/3]$	$[3/2, 5/2, 8/3]_{2}$	$t + 1$	$x^{9} + 9 x^{6} + 9 x^{4} + 9 x^{3} + 3$	$[13, 9, 0]$	$[1, 1]$

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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.