Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (7 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7
504.4.a.b	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-7q^{7}+26q^{11}+2q^{13}+6^{2}q^{17}+\cdots\)
504.4.a.c	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-7q^{7}-52q^{11}+86q^{13}+\cdots\)
504.4.a.d	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+7q^{7}-12q^{11}-66q^{13}+\cdots\)
504.4.a.g	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(16\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}-7q^{7}-24q^{11}-68q^{13}+\cdots\)
504.4.a.j	$504$	$4$	504.a	1.a	$1$	$2$	$2$	$29.737$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(14\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-7-\beta )q^{5}+7q^{7}+(-9+3\beta )q^{11}+\cdots\)
504.4.a.l	$504$	$4$	504.a	1.a	$1$	$2$	$2$	$29.737$	\(\Q(\sqrt{30}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(14\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+7q^{7}+(-18-3\beta )q^{11}+\cdots\)
504.4.a.o	$504$	$4$	504.a	1.a	$1$	$2$	$2$	$29.737$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(12\)	\(-14\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(6+\beta )q^{5}-7q^{7}+(2-\beta )q^{11}+(-30+\cdots)q^{13}+\cdots\)