Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	3
24.22.a.a	$24$	$22$	24.a	1.a	$1$	$2$	$2$	$67.075$	\(\Q(\sqrt{537541}) \)	None	✓	$1$	$1$	\(0\)	\(118098\)	\(21948620\)	\(-659451408\)		$-$	$-$	$+$	$2^{7}\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}+(10974310-5\beta )q^{5}+(-329725704+\cdots)q^{7}+\cdots\)
24.22.a.c	$24$	$22$	24.a	1.a	$1$	$3$	$3$	$67.075$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-177147\)	\(2080026\)	\(-1205282064\)		$+$	$+$	$+$	$2^{21}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+(693342+\beta _{1})q^{5}+(-401760688+\cdots)q^{7}+\cdots\)