Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (4 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	7	17
6069.2.a.i	$6069$	$2$	6069.a	1.a	$1$	$2$	$2$	$48.461$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(1\)	\(2\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(1+\beta )q^{4}+\beta q^{6}+q^{7}+\cdots\)
6069.2.a.l	$6069$	$2$	6069.a	1.a	$1$	$3$	$3$	$48.461$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-2\)	\(3\)	\(2\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
6069.2.a.bi	$6069$	$2$	6069.a	1.a	$1$	$15$	$15$	$48.461$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(15\)	\(9\)	\(15\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{12}+\cdots)q^{5}+\cdots\)
6069.2.a.bm	$6069$	$2$	6069.a	1.a	$1$	$24$	$24$	$48.461$		None	✓	$1$	$0$	\(4\)	\(24\)	\(4\)	\(24\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$