Newform search results

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

Results (4 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
294.6.a.a	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(-26\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}-26q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.b	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(-26\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}-26q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.c	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(72\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+72q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.o	$294$	$6$	294.a	1.a	$1$	$2$	$2$	$47.153$	\(\Q(\sqrt{505}) \)	None	✓	$1$	$0$	\(-8\)	\(-18\)	\(-17\)	\(0\)		$+$	$+$	$-$	$-$	$7$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(-9-\beta )q^{5}+\cdots\)