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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 (32 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
13.13.14.1	$13$	$x^{13} + 26 x^{2} + 13$	$13$	$13$	$1$	$14$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[7/6]$	$[7/6]_{6}$	$t + 11$	$x^{13} + 26 x^{2} + 13$	$[2, 0]$	$[1]$
13.13.14.2	$13$	$x^{13} + 65 x^{2} + 13$	$13$	$13$	$1$	$14$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[7/6]$	$[7/6]_{6}$	$t + 11$	$x^{13} + 65 x^{2} + 13$	$[2, 0]$	$[1]$
13.13.14.3	$13$	$x^{13} + 78 x^{2} + 13$	$13$	$13$	$1$	$14$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[7/6]$	$[7/6]_{6}$	$t + 11$	$x^{13} + 78 x^{2} + 13$	$[2, 0]$	$[1]$
13.13.14.4	$13$	$x^{13} + 91 x^{2} + 13$	$13$	$13$	$1$	$14$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[7/6]$	$[7/6]_{6}$	$t + 11$	$x^{13} + 91 x^{2} + 13$	$[2, 0]$	$[1]$
13.13.14.5	$13$	$x^{13} + 104 x^{2} + 13$	$13$	$13$	$1$	$14$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[7/6]$	$[7/6]_{6}$	$t + 11$	$x^{13} + 104 x^{2} + 13$	$[2, 0]$	$[1]$
13.13.14.6	$13$	$x^{13} + 143 x^{2} + 13$	$13$	$13$	$1$	$14$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[7/6]$	$[7/6]_{6}$	$t + 11$	$x^{13} + 143 x^{2} + 13$	$[2, 0]$	$[1]$
13.13.16.4	$13$	$x^{13} + 13 x^{4} + 13$	$13$	$13$	$1$	$16$	$C_{13}:C_6$ (as 13T5)	$2$	$3$	$[4/3]$	$[4/3]_{3}^{2}$	$t + 11$	$x^{13} + 13 x^{4} + 13$	$[4, 0]$	$[2]$
13.13.16.5	$13$	$x^{13} + 39 x^{4} + 13$	$13$	$13$	$1$	$16$	$C_{13}:C_6$ (as 13T5)	$2$	$3$	$[4/3]$	$[4/3]_{3}^{2}$	$t + 11$	$x^{13} + 39 x^{4} + 13$	$[4, 0]$	$[2]$
13.13.16.6	$13$	$x^{13} + 117 x^{4} + 13$	$13$	$13$	$1$	$16$	$C_{13}:C_6$ (as 13T5)	$2$	$3$	$[4/3]$	$[4/3]_{3}^{2}$	$t + 11$	$x^{13} + 117 x^{4} + 13$	$[4, 0]$	$[2]$
13.13.18.3	$13$	$x^{13} + 65 x^{6} + 13$	$13$	$13$	$1$	$18$	$C_{13}:C_6$ (as 13T5)	$3$	$2$	$[3/2]$	$[3/2]_{2}^{3}$	$t + 11$	$x^{13} + 65 x^{6} + 13$	$[6, 0]$	$[3]$
13.13.18.4	$13$	$x^{13} + 78 x^{6} + 13$	$13$	$13$	$1$	$18$	$C_{13}:C_6$ (as 13T5)	$3$	$2$	$[3/2]$	$[3/2]_{2}^{3}$	$t + 11$	$x^{13} + 78 x^{6} + 13$	$[6, 0]$	$[3]$
13.13.18.5	$13$	$x^{13} + 91 x^{6} + 13$	$13$	$13$	$1$	$18$	$C_{13}:C_6$ (as 13T5)	$3$	$2$	$[3/2]$	$[3/2]_{2}^{3}$	$t + 11$	$x^{13} + 91 x^{6} + 13$	$[6, 0]$	$[3]$
13.13.18.6	$13$	$x^{13} + 104 x^{6} + 13$	$13$	$13$	$1$	$18$	$C_{13}:C_6$ (as 13T5)	$3$	$2$	$[3/2]$	$[3/2]_{2}^{3}$	$t + 11$	$x^{13} + 104 x^{6} + 13$	$[6, 0]$	$[3]$
13.13.20.4	$13$	$x^{13} + 91 x^{8} + 13$	$13$	$13$	$1$	$20$	$C_{13}:C_6$ (as 13T5)	$2$	$3$	$[5/3]$	$[5/3]_{3}^{2}$	$t + 11$	$x^{13} + 91 x^{8} + 13$	$[8, 0]$	$[2]$
13.13.20.5	$13$	$x^{13} + 104 x^{8} + 13$	$13$	$13$	$1$	$20$	$C_{13}:C_6$ (as 13T5)	$2$	$3$	$[5/3]$	$[5/3]_{3}^{2}$	$t + 11$	$x^{13} + 104 x^{8} + 13$	$[8, 0]$	$[2]$
13.13.20.6	$13$	$x^{13} + 143 x^{8} + 13$	$13$	$13$	$1$	$20$	$C_{13}:C_6$ (as 13T5)	$2$	$3$	$[5/3]$	$[5/3]_{3}^{2}$	$t + 11$	$x^{13} + 143 x^{8} + 13$	$[8, 0]$	$[2]$
13.13.22.1	$13$	$x^{13} + 13 x^{10} + 13$	$13$	$13$	$1$	$22$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[11/6]$	$[11/6]_{6}$	$t + 11$	$x^{13} + 13 x^{10} + 13$	$[10, 0]$	$[1]$
13.13.22.2	$13$	$x^{13} + 39 x^{10} + 13$	$13$	$13$	$1$	$22$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[11/6]$	$[11/6]_{6}$	$t + 11$	$x^{13} + 39 x^{10} + 13$	$[10, 0]$	$[1]$
13.13.22.3	$13$	$x^{13} + 52 x^{10} + 13$	$13$	$13$	$1$	$22$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[11/6]$	$[11/6]_{6}$	$t + 11$	$x^{13} + 52 x^{10} + 13$	$[10, 0]$	$[1]$
13.13.22.4	$13$	$x^{13} + 117 x^{10} + 13$	$13$	$13$	$1$	$22$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[11/6]$	$[11/6]_{6}$	$t + 11$	$x^{13} + 117 x^{10} + 13$	$[10, 0]$	$[1]$
13.13.22.5	$13$	$x^{13} + 130 x^{10} + 13$	$13$	$13$	$1$	$22$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[11/6]$	$[11/6]_{6}$	$t + 11$	$x^{13} + 130 x^{10} + 13$	$[10, 0]$	$[1]$
13.13.22.6	$13$	$x^{13} + 156 x^{10} + 13$	$13$	$13$	$1$	$22$	$C_{13}:C_6$ (as 13T5)	$1$	$6$	$[11/6]$	$[11/6]_{6}$	$t + 11$	$x^{13} + 156 x^{10} + 13$	$[10, 0]$	$[1]$
13.13.24.17	$13$	$x^{13} + 39 x^{12} + 13$	$13$	$13$	$1$	$24$	$C_{13}:C_6$ (as 13T5)	$6$	$1$	$[2]$	$[2]^{6}$	$t + 11$	$x^{13} + 39 x^{12} + 13$	$[12, 0]$	$[6]$
13.13.24.18	$13$	$x^{13} + 117 x^{12} + 13$	$13$	$13$	$1$	$24$	$C_{13}:C_6$ (as 13T5)	$6$	$1$	$[2]$	$[2]^{6}$	$t + 11$	$x^{13} + 117 x^{12} + 13$	$[12, 0]$	$[6]$
17.13.12.1	$13$	$x^{13} + 17$	$17$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 14$	$x^{13} + 17$	$[0]$	$[6]$
23.13.12.1	$13$	$x^{13} + 23$	$23$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 18$	$x^{13} + 23$	$[0]$	$[6]$
43.13.12.1	$13$	$x^{13} + 43$	$43$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 40$	$x^{13} + 43$	$[0]$	$[6]$
101.13.12.1	$13$	$x^{13} + 101$	$101$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 99$	$x^{13} + 101$	$[0]$	$[6]$
127.13.12.1	$13$	$x^{13} + 127$	$127$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 124$	$x^{13} + 127$	$[0]$	$[6]$
173.13.12.1	$13$	$x^{13} + 173$	$173$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 171$	$x^{13} + 173$	$[0]$	$[6]$
179.13.12.1	$13$	$x^{13} + 179$	$179$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 177$	$x^{13} + 179$	$[0]$	$[6]$
199.13.12.1	$13$	$x^{13} + 199$	$199$	$13$	$1$	$12$	$C_{13}:C_6$ (as 13T5)	$6$	$13$	$[\ ]$	$[\ ]_{13}^{6}$	$t + 196$	$x^{13} + 199$	$[0]$	$[6]$

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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.