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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7
224.6.a.b	$224$	$6$	224.a	1.a	$1$	$1$	$1$	$35.926$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(14\)	\(-64\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+14q^{3}-2^{6}q^{5}-7^{2}q^{7}-47q^{9}+\cdots\)
224.6.a.c	$224$	$6$	224.a	1.a	$1$	$2$	$2$	$35.926$	\(\Q(\sqrt{61}) \)	None	✓	$1$	$0$	\(0\)	\(-14\)	\(34\)	\(-98\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-7-\beta )q^{3}+(17-7\beta )q^{5}-7^{2}q^{7}+\cdots\)
224.6.a.j	$224$	$6$	224.a	1.a	$1$	$5$	$5$	$35.926$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(10\)	\(36\)	\(-245\)		$-$	$+$	$-$	$2^{12}$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{3}+(7-\beta _{3})q^{5}-7^{2}q^{7}+\cdots\)