Newform search results

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

Results (6 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
192.8.a.b	$192$	$8$	192.a	1.a	$1$	$1$	$1$	$59.978$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-27\)	\(-270\)	\(1112\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}-270q^{5}+1112q^{7}+3^{6}q^{9}+\cdots\)
192.8.a.c	$192$	$8$	192.a	1.a	$1$	$1$	$1$	$59.978$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-27\)	\(-110\)	\(504\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}-110q^{5}+504q^{7}+3^{6}q^{9}+\cdots\)
192.8.a.e	$192$	$8$	192.a	1.a	$1$	$1$	$1$	$59.978$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-27\)	\(70\)	\(-92\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}+70q^{5}-92q^{7}+3^{6}q^{9}+\cdots\)
192.8.a.f	$192$	$8$	192.a	1.a	$1$	$1$	$1$	$59.978$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-27\)	\(114\)	\(-1576\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}+114q^{5}-1576q^{7}+3^{6}q^{9}+\cdots\)
192.8.a.h	$192$	$8$	192.a	1.a	$1$	$1$	$1$	$59.978$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-27\)	\(530\)	\(120\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}+530q^{5}+120q^{7}+3^{6}q^{9}+\cdots\)
192.8.a.r	$192$	$8$	192.a	1.a	$1$	$2$	$2$	$59.978$	\(\Q(\sqrt{235}) \)	None	✓	$1$	$0$	\(0\)	\(-54\)	\(-180\)	\(1032\)		$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}+(-90+\beta )q^{5}+(516+5\beta )q^{7}+\cdots\)