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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (8 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	61	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6039.2.a.a	$6039$	$2$	6039.a	1.a	$1$	$5$	$5$	$48.222$	5.5.24217.1	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-2\beta _{1}-\beta _{2}+\beta _{4})q^{4}+\beta _{2}q^{5}+\cdots\)
6039.2.a.b	$6039$	$2$	6039.a	1.a	$1$	$6$	$6$	$48.222$	6.6.2661761.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-\beta _{5}q^{4}+(-\beta _{1}+\beta _{3}-\beta _{5})q^{5}+\cdots\)
6039.2.a.c	$6039$	$2$	6039.a	1.a	$1$	$11$	$11$	$48.222$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(1\)	\(-11\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6039.2.a.e	$6039$	$2$	6039.a	1.a	$1$	$12$	$12$	$48.222$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(3\)	\(-9\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6039.2.a.g	$6039$	$2$	6039.a	1.a	$1$	$13$	$13$	$48.222$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-7\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\beta _{6}+\cdots)q^{5}+\cdots\)
6039.2.a.h	$6039$	$2$	6039.a	1.a	$1$	$13$	$13$	$48.222$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-7\)	\(7\)		$-$	$+$	$-$	$+$	$5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{5})q^{5}+\cdots\)
6039.2.a.m	$6039$	$2$	6039.a	1.a	$1$	$25$	$25$	$48.222$		None	✓	$1$	$1$	\(-5\)	\(0\)	\(-12\)	\(-4\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
6039.2.a.n	$6039$	$2$	6039.a	1.a	$1$	$25$	$25$	$48.222$		None	✓	$1$	$1$	\(-5\)	\(0\)	\(-4\)	\(4\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$

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