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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
441.4.a.d	$441$	$4$	441.a	1.a	$1$	$1$	$1$	$26.020$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-7\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-4q^{4}-7q^{5}+24q^{8}+14q^{10}+\cdots\)
441.4.a.l	$441$	$4$	441.a	1.a	$1$	$1$	$1$	$26.020$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}+3q^{5}-21q^{8}+9q^{10}+\cdots\)
441.4.a.n	$441$	$4$	441.a	1.a	$1$	$2$	$2$	$26.020$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-20\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(-5-2\beta )q^{4}+(-10+\cdots)q^{5}+\cdots\)
441.4.a.o	$441$	$4$	441.a	1.a	$1$	$2$	$2$	$26.020$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(20\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(-5-2\beta )q^{4}+(10+\cdots)q^{5}+\cdots\)
441.4.a.s	$441$	$4$	441.a	1.a	$1$	$3$	$3$	$26.020$	3.3.57516.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-11\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(8+\beta _{1}+\beta _{2})q^{4}+(-4+\beta _{1}+\cdots)q^{5}+\cdots\)
441.4.a.u	$441$	$4$	441.a	1.a	$1$	$4$	$4$	$26.020$	\(\Q(\sqrt{2}, \sqrt{65})\)	None	✓	$2$	$1$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$7$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(9+\beta _{1})q^{4}+\beta _{3}q^{5}+\cdots\)