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	5	17
5780.2.a.a	$5780$	$2$	5780.a	1.a	$1$	$1$	$1$	$46.154$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-2q^{7}+q^{9}-5q^{11}+\cdots\)
5780.2.a.h	$5780$	$2$	5780.a	1.a	$1$	$2$	$2$	$46.154$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+q^{5}+(1+\beta )q^{7}+2\beta q^{9}+\cdots\)
5780.2.a.r	$5780$	$2$	5780.a	1.a	$1$	$12$	$12$	$46.154$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(8\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}+(1-\beta _{11})q^{7}+(1+\beta _{8}+\cdots)q^{9}+\cdots\)
5780.2.a.s	$5780$	$2$	5780.a	1.a	$1$	$12$	$12$	$46.154$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(12\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}-\beta _{3}q^{7}+(2+\beta _{2})q^{9}+\cdots\)