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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	13	19
6422.2.a.n	$6422$	$2$	6422.a	1.a	$1$	$3$	$3$	$51.280$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-3\)	\(-1\)	\(7\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(3-\beta _{1}+\beta _{2})q^{5}+\cdots\)
6422.2.a.be	$6422$	$2$	6422.a	1.a	$1$	$7$	$7$	$51.280$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-7\)	\(2\)	\(-2\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
6422.2.a.bi	$6422$	$2$	6422.a	1.a	$1$	$9$	$9$	$51.280$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(-5\)	\(-1\)	\(13\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{7})q^{3}+q^{4}+\beta _{4}q^{5}+\cdots\)
6422.2.a.bm	$6422$	$2$	6422.a	1.a	$1$	$14$	$14$	$51.280$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(-14\)	\(4\)	\(2\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)