Newform search results

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

Results (3 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	7
525.4.a.c	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(-3\)	\(0\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-3q^{3}+q^{4}+9q^{6}+7q^{7}+\cdots\)
525.4.a.f	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(0\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}-4q^{4}-6q^{6}+7q^{7}+\cdots\)
525.4.a.x	$525$	$4$	525.a	1.a	$1$	$5$	$5$	$30.976$	5.5.78066700.1	None	✓	$1$	$0$	\(1\)	\(-15\)	\(0\)	\(35\)		$+$	$-$	$-$	$+$	$2^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(5-\beta _{1}-\beta _{3})q^{4}+\cdots\)