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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 (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	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1274.2.a.b	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-q^{8}+\cdots\)
1274.2.a.d	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(3\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\cdots\)
1274.2.a.g	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{8}+\cdots\)
1274.2.a.h	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-3\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}+4q^{5}-3q^{6}+q^{8}+\cdots\)
1274.2.a.k	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots\)
1274.2.a.l	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+q^{8}-3q^{9}-2q^{10}+\cdots\)
1274.2.a.n	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{5}+2q^{6}+q^{8}+\cdots\)
1274.2.a.o	$1274$	$2$	1274.a	1.a	$1$	$1$	$1$	$10.173$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}+q^{5}+3q^{6}+q^{8}+\cdots\)
1274.2.a.q	$1274$	$2$	1274.a	1.a	$1$	$2$	$2$	$10.173$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(2-\beta )q^{5}+\cdots\)
1274.2.a.r	$1274$	$2$	1274.a	1.a	$1$	$3$	$3$	$10.173$	3.3.321.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{1}+\beta _{2})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
1274.2.a.s	$1274$	$2$	1274.a	1.a	$1$	$3$	$3$	$10.173$	3.3.321.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-\beta _{1}-\beta _{2})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
1274.2.a.u	$1274$	$2$	1274.a	1.a	$1$	$4$	$4$	$10.173$	4.4.16448.2	None	✓	$1$	$0$	\(-4\)	\(2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
1274.2.a.v	$1274$	$2$	1274.a	1.a	$1$	$4$	$4$	$10.173$	4.4.93177.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
1274.2.a.w	$1274$	$2$	1274.a	1.a	$1$	$4$	$4$	$10.173$	4.4.93177.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)

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