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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 (14 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	5	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3640.2.a.a	$3640$	$2$	3640.a	1.a	$1$	$1$	$1$	$29.066$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
3640.2.a.b	$3640$	$2$	3640.a	1.a	$1$	$1$	$1$	$29.066$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}-2q^{9}+5q^{11}-q^{13}+\cdots\)
3640.2.a.d	$3640$	$2$	3640.a	1.a	$1$	$1$	$1$	$29.066$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-q^{7}-3q^{9}+2q^{11}+q^{13}+\cdots\)
3640.2.a.f	$3640$	$2$	3640.a	1.a	$1$	$1$	$1$	$29.066$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{7}-3q^{9}-2q^{11}-q^{13}+\cdots\)
3640.2.a.g	$3640$	$2$	3640.a	1.a	$1$	$1$	$1$	$29.066$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
3640.2.a.j	$3640$	$2$	3640.a	1.a	$1$	$1$	$1$	$29.066$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-q^{7}+q^{9}-q^{13}+2q^{15}+\cdots\)
3640.2.a.k	$3640$	$2$	3640.a	1.a	$1$	$2$	$2$	$29.066$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}-q^{7}+(-2+\beta )q^{9}-q^{13}+\cdots\)
3640.2.a.l	$3640$	$2$	3640.a	1.a	$1$	$2$	$2$	$29.066$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+q^{7}+\beta q^{9}+(-2+2\beta )q^{11}+\cdots\)
3640.2.a.n	$3640$	$2$	3640.a	1.a	$1$	$2$	$2$	$29.066$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{5}+q^{7}+(-2+\beta )q^{9}-4\beta q^{11}+\cdots\)
3640.2.a.o	$3640$	$2$	3640.a	1.a	$1$	$3$	$3$	$29.066$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(-3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}-q^{5}-q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
3640.2.a.r	$3640$	$2$	3640.a	1.a	$1$	$4$	$4$	$29.066$	4.4.13676.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(-4\)		$+$	$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}-q^{7}+(3+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
3640.2.a.s	$3640$	$2$	3640.a	1.a	$1$	$4$	$4$	$29.066$	4.4.2225.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(4\)	\(-4\)		$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}-q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
3640.2.a.t	$3640$	$2$	3640.a	1.a	$1$	$4$	$4$	$29.066$	4.4.24197.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(4\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+q^{7}+\beta _{2}q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
3640.2.a.y	$3640$	$2$	3640.a	1.a	$1$	$5$	$5$	$29.066$	5.5.1194649.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(5\)		$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)

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