Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
225.6.a.a	$225$	$6$	225.a	1.a	$1$	$1$	$1$	$36.086$	\(\Q\)	None	✓	$1$	$0$	\(-6\)	\(0\)	\(0\)	\(40\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{2}+4q^{4}+40q^{7}+168q^{8}+564q^{11}+\cdots\)
225.6.a.c	$225$	$6$	225.a	1.a	$1$	$1$	$1$	$36.086$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(132\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-28q^{4}+132q^{7}+120q^{8}+\cdots\)
225.6.a.f	$225$	$6$	225.a	1.a	$1$	$1$	$1$	$36.086$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-192\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-28q^{4}-192q^{7}-120q^{8}+\cdots\)
225.6.a.g	$225$	$6$	225.a	1.a	$1$	$1$	$1$	$36.086$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(0\)	\(225\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-2^{4}q^{4}+15^{2}q^{7}-192q^{8}+\cdots\)
225.6.a.h	$225$	$6$	225.a	1.a	$1$	$1$	$1$	$36.086$	\(\Q\)	None	✓	$1$	$0$	\(7\)	\(0\)	\(0\)	\(-12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+7q^{2}+17q^{4}-12q^{7}-105q^{8}+\cdots\)
225.6.a.j	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{31}) \)	None	✓	$1$	$0$	\(-6\)	\(0\)	\(0\)	\(102\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-3+\beta )q^{2}+(8-6\beta )q^{4}+(51-24\beta )q^{7}+\cdots\)
225.6.a.m	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{409}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(112\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(70+\beta )q^{4}+(2^{6}-2^{4}\beta )q^{7}+\cdots\)
225.6.a.s	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$0$	\(5\)	\(0\)	\(0\)	\(-200\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{2}+(37-5\beta )q^{4}+(-98-4\beta )q^{7}+\cdots\)