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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 (9 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3211.2.a.b	$3211$	$2$	3211.a	1.a	$1$	$2$	$2$	$25.640$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(-2\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
3211.2.a.d	$3211$	$2$	3211.a	1.a	$1$	$4$	$4$	$25.640$	4.4.6809.1	None	✓	$1$	$0$	\(3\)	\(-1\)	\(8\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1-\beta _{2}+\cdots)q^{4}+\cdots\)
3211.2.a.f	$3211$	$2$	3211.a	1.a	$1$	$5$	$5$	$25.640$	5.5.2655049.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{3})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
3211.2.a.h	$3211$	$2$	3211.a	1.a	$1$	$10$	$10$	$25.640$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(8\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)
3211.2.a.k	$3211$	$2$	3211.a	1.a	$1$	$11$	$11$	$25.640$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(10\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{7}+\cdots)q^{5}+\cdots\)
3211.2.a.l	$3211$	$2$	3211.a	1.a	$1$	$11$	$11$	$25.640$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(6\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{8}+\cdots)q^{5}+\cdots\)
3211.2.a.n	$3211$	$2$	3211.a	1.a	$1$	$20$	$20$	$25.640$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(0\)	\(16\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{11}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
3211.2.a.q	$3211$	$2$	3211.a	1.a	$1$	$33$	$33$	$25.640$		None	✓	$1$	$0$	\(-1\)	\(7\)	\(5\)	\(6\)		$+$	$-$	$-$		$\mathrm{SU}(2)$
3211.2.a.r	$3211$	$2$	3211.a	1.a	$1$	$33$	$33$	$25.640$		None	✓	$1$	$0$	\(1\)	\(7\)	\(-5\)	\(-6\)		$-$	$+$	$-$		$\mathrm{SU}(2)$

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