Newform search results

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

Results (12 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	223
6021.2.a.a	$6021$	$2$	6021.a	1.a	$1$	$1$	$1$	$48.078$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-q^{7}-q^{13}+2q^{14}+\cdots\)
6021.2.a.b	$6021$	$2$	6021.a	1.a	$1$	$1$	$1$	$48.078$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(3\)	\(1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+3q^{5}+q^{7}-6q^{10}+\cdots\)
6021.2.a.c	$6021$	$2$	6021.a	1.a	$1$	$1$	$1$	$48.078$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(3\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{5}-2q^{7}+3q^{8}-3q^{10}+\cdots\)
6021.2.a.e	$6021$	$2$	6021.a	1.a	$1$	$1$	$1$	$48.078$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+3q^{5}-3q^{7}-4q^{11}-2q^{13}+\cdots\)
6021.2.a.f	$6021$	$2$	6021.a	1.a	$1$	$1$	$1$	$48.078$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-3\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-3q^{5}-2q^{7}-3q^{8}-3q^{10}+\cdots\)
6021.2.a.h	$6021$	$2$	6021.a	1.a	$1$	$1$	$1$	$48.078$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{7}-q^{13}-2q^{14}+\cdots\)
6021.2.a.i	$6021$	$2$	6021.a	1.a	$1$	$2$	$2$	$48.078$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1+2\beta )q^{5}+q^{7}-2\beta q^{8}+\cdots\)
6021.2.a.k	$6021$	$2$	6021.a	1.a	$1$	$4$	$4$	$48.078$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2})q^{5}+q^{7}-2\beta _{2}q^{8}+\cdots\)
6021.2.a.m	$6021$	$2$	6021.a	1.a	$1$	$30$	$30$	$48.078$		None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-10\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
6021.2.a.o	$6021$	$2$	6021.a	1.a	$1$	$30$	$30$	$48.078$		None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-20\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
6021.2.a.p	$6021$	$2$	6021.a	1.a	$1$	$35$	$35$	$48.078$		None	✓	$1$	$1$	\(-4\)	\(0\)	\(-14\)	\(2\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
6021.2.a.q	$6021$	$2$	6021.a	1.a	$1$	$35$	$35$	$48.078$		None	✓	$1$	$1$	\(-4\)	\(0\)	\(-10\)	\(-2\)		$-$	$-$	$+$		$\mathrm{SU}(2)$