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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
405.4.a.b	$405$	$4$	405.a	1.a	$1$	$1$	$1$	$23.896$	\(\Q\)	None	✓	$1$	$0$	\(5\)	\(0\)	\(-5\)	\(9\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}+17q^{4}-5q^{5}+9q^{7}+45q^{8}+\cdots\)
405.4.a.c	$405$	$4$	405.a	1.a	$1$	$2$	$2$	$23.896$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-10\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(-4-2\beta )q^{4}-5q^{5}+\cdots\)
405.4.a.i	$405$	$4$	405.a	1.a	$1$	$3$	$3$	$23.896$	3.3.7032.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(-15\)	\(-25\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
405.4.a.m	$405$	$4$	405.a	1.a	$1$	$7$	$7$	$23.896$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-35\)	\(22\)		$+$	$+$	$+$	$2\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(5+\beta _{2})q^{4}-5q^{5}+(3-\beta _{5}+\cdots)q^{7}+\cdots\)