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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (4 matches)

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	47	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6016.2.a.m	$6016$	$2$	6016.a	1.a	$1$	$13$	$13$	$48.038$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-6\)	\(2\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{8}q^{5}+\beta _{9}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
6016.2.a.n	$6016$	$2$	6016.a	1.a	$1$	$13$	$13$	$48.038$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(6\)	\(-2\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{8}q^{5}-\beta _{9}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
6016.2.a.o	$6016$	$2$	6016.a	1.a	$1$	$13$	$13$	$48.038$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(-6\)	\(-2\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{8}q^{5}-\beta _{9}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
6016.2.a.p	$6016$	$2$	6016.a	1.a	$1$	$13$	$13$	$48.038$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(6\)	\(2\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{8}q^{5}+\beta _{9}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)

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