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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17
289.4.a.d	$289$	$4$	289.a	1.a	$1$	$4$	$4$	$17.052$	4.4.2555057.1	None	✓	$1$	$1$	\(1\)	\(2\)	\(-14\)	\(-36\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(3+\beta _{1}+\cdots)q^{4}+\cdots\)
289.4.a.g	$289$	$4$	289.a	1.a	$1$	$12$	$12$	$17.052$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(-8\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{5})q^{2}+\beta _{7}q^{3}+(2+2\beta _{1}+\cdots)q^{4}+\cdots\)
289.4.a.h	$289$	$4$	289.a	1.a	$1$	$12$	$12$	$17.052$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-18\)	\(-30\)	\(-24\)		$-$	$-$	$2^{3}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-2+\beta _{5})q^{3}+(4+\beta _{2})q^{4}+\cdots\)