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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
15.22.a.a	$15$	$22$	15.a	1.a	$1$	$1$	$1$	$41.922$	\(\Q\)	None	✓	$1$	$0$	\(544\)	\(59049\)	\(-9765625\)	\(1277698380\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+544q^{2}+3^{10}q^{3}-1801216q^{4}+\cdots\)
15.22.a.d	$15$	$22$	15.a	1.a	$1$	$3$	$3$	$41.922$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(803\)	\(177147\)	\(-29296875\)	\(-1577598316\)		$-$	$+$	$-$	$2^{2}\cdot 3\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(268-\beta _{1})q^{2}+3^{10}q^{3}+(2238318+\cdots)q^{4}+\cdots\)