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	13
3549.2.a.a	$3549$	$2$	3549.a	1.a	$1$	$1$	$1$	$28.339$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-3\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
3549.2.a.j	$3549$	$2$	3549.a	1.a	$1$	$3$	$3$	$28.339$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(-1\)	\(3\)	\(3\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
3549.2.a.q	$3549$	$2$	3549.a	1.a	$1$	$3$	$3$	$28.339$	3.3.148.1	None	✓	$1$	$1$	\(1\)	\(3\)	\(2\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
3549.2.a.bb	$3549$	$2$	3549.a	1.a	$1$	$8$	$8$	$28.339$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(8\)	\(-2\)	\(-8\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)