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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	3	167	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3006.2.a.a	$3006$	$2$	3006.a	1.a	$1$	$1$	$1$	$24.003$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots\)
3006.2.a.b	$3006$	$2$	3006.a	1.a	$1$	$1$	$1$	$24.003$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(3\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+3q^{5}-3q^{7}-q^{8}-3q^{10}+\cdots\)
3006.2.a.c	$3006$	$2$	3006.a	1.a	$1$	$1$	$1$	$24.003$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-3\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-3q^{5}+3q^{7}+q^{8}-3q^{10}+\cdots\)
3006.2.a.d	$3006$	$2$	3006.a	1.a	$1$	$1$	$1$	$24.003$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}-4q^{7}+q^{8}-2q^{10}+\cdots\)
3006.2.a.e	$3006$	$2$	3006.a	1.a	$1$	$1$	$1$	$24.003$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{8}-4q^{13}+q^{16}-6q^{17}+\cdots\)
3006.2.a.f	$3006$	$2$	3006.a	1.a	$1$	$1$	$1$	$24.003$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
3006.2.a.g	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(-6\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+(-3-\beta )q^{7}-q^{8}+\cdots\)
3006.2.a.i	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(4\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(2+\beta )q^{5}-q^{8}+(-2+\cdots)q^{10}+\cdots\)
3006.2.a.j	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-2+\beta )q^{5}+q^{8}+(-2+\cdots)q^{10}+\cdots\)
3006.2.a.k	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(-6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1+\beta )q^{5}-3q^{7}+q^{8}+\cdots\)
3006.2.a.l	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+(-3-\beta )q^{7}+q^{8}+\cdots\)
3006.2.a.p	$3006$	$2$	3006.a	1.a	$1$	$3$	$3$	$24.003$	3.3.733.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(3\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
3006.2.a.r	$3006$	$2$	3006.a	1.a	$1$	$3$	$3$	$24.003$	3.3.469.1	None	✓	$1$	$1$	\(3\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(\beta _{1}+\beta _{2})q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
3006.2.a.s	$3006$	$2$	3006.a	1.a	$1$	$4$	$4$	$24.003$	4.4.2777.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-5\)	\(1\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(\beta _{2}-\beta _{3})q^{7}+\cdots\)

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