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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 (15 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	7	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2898.2.a.c	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
2898.2.a.d	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
2898.2.a.e	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
2898.2.a.h	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.k	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-3\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots\)
2898.2.a.m	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
2898.2.a.n	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-6q^{13}+\cdots\)
2898.2.a.p	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+q^{14}+\cdots\)
2898.2.a.q	$2898$	$2$	2898.a	1.a	$1$	$1$	$1$	$23.141$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
2898.2.a.w	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta )q^{5}+q^{7}-q^{8}+\cdots\)
2898.2.a.x	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(3\)	\(-2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.y	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(4\)	\(-2\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(2+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.z	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-4\)	\(-2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-2+\beta )q^{5}-q^{7}+q^{8}+\cdots\)
2898.2.a.ba	$2898$	$2$	2898.a	1.a	$1$	$2$	$2$	$23.141$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-\beta q^{5}-q^{7}+q^{8}-\beta q^{10}+\cdots\)
2898.2.a.be	$2898$	$2$	2898.a	1.a	$1$	$3$	$3$	$23.141$	3.3.316.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-4\)	\(-3\)		$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta _{2})q^{5}-q^{7}-q^{8}+\cdots\)

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