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Results (3 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	13	41
8528.2.a.bb	$8528$	$2$	8528.a	1.a	$1$	$13$	$13$	$68.096$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-10\)	\(0\)	\(-10\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{4})q^{3}+\beta _{6}q^{5}+(-1+\beta _{8}+\cdots)q^{7}+\cdots\)
8528.2.a.bc	$8528$	$2$	8528.a	1.a	$1$	$13$	$13$	$68.096$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(12\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{12}q^{5}+(1+\beta _{6})q^{7}+(1+\cdots)q^{9}+\cdots\)
8528.2.a.bd	$8528$	$2$	8528.a	1.a	$1$	$13$	$13$	$68.096$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(4\)	\(-10\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{5}q^{5}+(-1+\beta _{7})q^{7}+(1+\cdots)q^{9}+\cdots\)