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	19
2166.2.a.f	$2166$	$2$	2166.a	1.a	$1$	$1$	$1$	$17.296$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-4\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
2166.2.a.g	$2166$	$2$	2166.a	1.a	$1$	$1$	$1$	$17.296$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(2\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+4q^{7}+\cdots\)
2166.2.a.r	$2166$	$2$	2166.a	1.a	$1$	$3$	$3$	$17.296$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(-3\)	\(-6\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.x	$2166$	$2$	2166.a	1.a	$1$	$4$	$4$	$17.296$	\(\Q(\zeta_{20})^+\)	None	✓	$1$	$0$	\(4\)	\(-4\)	\(8\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(2+\beta _{1})q^{5}-q^{6}+\cdots\)