Newform search results

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

Results (5 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
405.4.a.a	$405$	$4$	405.a	1.a	$1$	$1$	$1$	$23.896$	\(\Q\)	None	✓	$1$	$1$	\(-5\)	\(0\)	\(5\)	\(9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{2}+17q^{4}+5q^{5}+9q^{7}-45q^{8}+\cdots\)
405.4.a.d	$405$	$4$	405.a	1.a	$1$	$2$	$2$	$23.896$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(10\)	\(9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+\beta q^{4}+5q^{5}+(5-\beta )q^{7}+(-8+\cdots)q^{8}+\cdots\)
405.4.a.f	$405$	$4$	405.a	1.a	$1$	$2$	$2$	$23.896$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(10\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(-4+2\beta )q^{4}+5q^{5}+\cdots\)
405.4.a.g	$405$	$4$	405.a	1.a	$1$	$3$	$3$	$23.896$	3.3.7032.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(15\)	\(-25\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)
405.4.a.h	$405$	$4$	405.a	1.a	$1$	$3$	$3$	$23.896$	3.3.2292.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(15\)	\(-43\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(3-\beta _{1}-\beta _{2})q^{4}+5q^{5}+\cdots\)