Newform search results

The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

Results (5 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	23
414.2.a.c	$414$	$2$	414.a	1.a	$1$	$1$	$1$	$3.306$	\(\Q\)	None	✓				138.2.a.b	$1$	$0$	\(1\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{7}+q^{8}+2q^{13}+2q^{14}+\cdots\)
414.2.a.d	$414$	$2$	414.a	1.a	$1$	$1$	$1$	$3.306$	\(\Q\)	None	✓				138.2.a.a	$1$	$0$	\(1\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{5}-2q^{7}+q^{8}+2q^{10}+\cdots\)
414.2.a.e	$414$	$2$	414.a	1.a	$1$	$2$	$2$	$3.306$	\(\Q(\sqrt{7}) \)	None	✓	✓	✓	✓	414.2.a.e	$1$	$0$	\(-2\)	\(0\)	\(-2\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta )q^{5}+2q^{7}-q^{8}+\cdots\)
414.2.a.f	$414$	$2$	414.a	1.a	$1$	$2$	$2$	$3.306$	\(\Q(\sqrt{5}) \)	None	✓		✓	✓	138.2.a.d	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+\beta )q^{5}+2\beta q^{7}-q^{8}+\cdots\)
414.2.a.g	$414$	$2$	414.a	1.a	$1$	$2$	$2$	$3.306$	\(\Q(\sqrt{7}) \)	None	✓	✓	✓	✓	414.2.a.e	$1$	$0$	\(2\)	\(0\)	\(2\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(1+\beta )q^{5}+2q^{7}+q^{8}+\cdots\)

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