Newform search results

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

Results (8 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	5
360.6.a.a	$360$	$6$	360.a	1.a	$1$	$1$	$1$	$57.738$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-25\)	\(-160\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5^{2}q^{5}-160q^{7}+596q^{11}-122q^{13}+\cdots\)
360.6.a.d	$360$	$6$	360.a	1.a	$1$	$1$	$1$	$57.738$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-25\)	\(128\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5^{2}q^{5}+2^{7}q^{7}+308q^{11}-1058q^{13}+\cdots\)
360.6.a.e	$360$	$6$	360.a	1.a	$1$	$1$	$1$	$57.738$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(25\)	\(-100\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5^{2}q^{5}-10^{2}q^{7}+136q^{11}+82q^{13}+\cdots\)
360.6.a.g	$360$	$6$	360.a	1.a	$1$	$1$	$1$	$57.738$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(25\)	\(-28\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5^{2}q^{5}-28q^{7}+208q^{11}-422q^{13}+\cdots\)
360.6.a.i	$360$	$6$	360.a	1.a	$1$	$1$	$1$	$57.738$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(25\)	\(242\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5^{2}q^{5}+242q^{7}-656q^{11}-206q^{13}+\cdots\)
360.6.a.j	$360$	$6$	360.a	1.a	$1$	$2$	$2$	$57.738$	\(\Q(\sqrt{3289}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-50\)	\(-80\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-5^{2}q^{5}+(-40-\beta )q^{7}+(140+\beta )q^{11}+\cdots\)
360.6.a.l	$360$	$6$	360.a	1.a	$1$	$2$	$2$	$57.738$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-50\)	\(52\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q-5^{2}q^{5}+(26-\beta )q^{7}+(-280-2\beta )q^{11}+\cdots\)
360.6.a.m	$360$	$6$	360.a	1.a	$1$	$2$	$2$	$57.738$	\(\Q(\sqrt{3289}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(50\)	\(-80\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5^{2}q^{5}+(-40-\beta )q^{7}+(-140-\beta )q^{11}+\cdots\)