Newform search results

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

Results (5 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	53
318.2.a.b	$318$	$2$	318.a	1.a	$1$	$1$	$1$	$2.539$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(4\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}+q^{7}+\cdots\)
318.2.a.c	$318$	$2$	318.a	1.a	$1$	$1$	$1$	$2.539$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+5q^{7}-q^{8}+\cdots\)
318.2.a.e	$318$	$2$	318.a	1.a	$1$	$1$	$1$	$2.539$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
318.2.a.f	$318$	$2$	318.a	1.a	$1$	$2$	$2$	$2.539$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)
318.2.a.g	$318$	$2$	318.a	1.a	$1$	$2$	$2$	$2.539$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}+(1-\beta )q^{7}+\cdots\)