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	5	11	73
8030.2.a.b	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}-3q^{9}+\cdots\)
8030.2.a.k	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-2\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8030.2.a.l	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-2\)	\(-3\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8030.2.a.w	$8030$	$2$	8030.a	1.a	$1$	$6$	$6$	$64.120$	6.6.47685496.1	None	✓	$1$	$1$	\(-6\)	\(-1\)	\(-6\)	\(6\)		$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)