Newform search results

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

Results (displaying both 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	7
98.10.a.j	$98$	$10$	98.a	1.a	$1$	$3$	$3$	$50.474$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(48\)	\(233\)	\(733\)	\(0\)		$-$	$+$	$-$	$2^{3}\cdot 3\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(78+\beta _{1})q^{3}+2^{8}q^{4}+(246+\cdots)q^{5}+\cdots\)
98.10.a.l	$98$	$10$	98.a	1.a	$1$	$6$	$6$	$50.474$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$0$	\(96\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{4}\cdot 3^{2}\cdot 7^{6}$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(\beta _{2}+\beta _{3})q^{3}+2^{8}q^{4}+(-2\beta _{2}+\cdots)q^{5}+\cdots\)