Newform search results

Results (displaying both matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	41
8036.2.a.q	$8036$	$2$	8036.a	1.a	$1$	$15$	$15$	$64.168$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓				1148.2.i.e	$1$	$0$	\(0\)	\(-1\)	\(3\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{3}q^{5}+(2+\beta _{2})q^{9}+(1-\beta _{3}+\cdots)q^{11}+\cdots\)
8036.2.a.r	$8036$	$2$	8036.a	1.a	$1$	$15$	$15$	$64.168$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓		✓		1148.2.i.e	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{3}q^{5}+(2+\beta _{2})q^{9}+(1-\beta _{3}+\cdots)q^{11}+\cdots\)