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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	13	103
2678.2.a.a	$2678$	$2$	2678.a	1.a	$1$	$1$	$1$	$21.384$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-2q^{5}+2q^{6}-q^{7}+\cdots\)
2678.2.a.e	$2678$	$2$	2678.a	1.a	$1$	$1$	$1$	$21.384$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(-2\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-2q^{5}-2q^{6}+3q^{7}+\cdots\)
2678.2.a.r	$2678$	$2$	2678.a	1.a	$1$	$10$	$10$	$21.384$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(0\)	\(9\)	\(9\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{3})q^{5}-\beta _{1}q^{6}+\cdots\)