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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		353
353.2.a.a	$353$	$2$	353.a	1.a	$1$	$1$	$1$	$2.819$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(2\)	\(-2\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}+2q^{5}-2q^{6}-2q^{7}+\cdots\)
353.2.a.b	$353$	$2$	353.a	1.a	$1$	$3$	$3$	$2.819$	3.3.229.1	None	✓	$1$	$0$	\(1\)	\(3\)	\(2\)	\(2\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
353.2.a.d	$353$	$2$	353.a	1.a	$1$	$14$	$14$	$2.819$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-2\)	\(-4\)	\(29\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)