Newform search results

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

Results (5 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	3	5	23
8280.2.a.a	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-3\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{7}+4q^{11}-3q^{17}-4q^{19}+\cdots\)
8280.2.a.l	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}+2q^{11}+2q^{13}+8q^{17}+\cdots\)
8280.2.a.z	$8280$	$2$	8280.a	1.a	$1$	$2$	$2$	$66.116$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}-4q^{11}+(-2+2\beta )q^{13}+\cdots\)
8280.2.a.bb	$8280$	$2$	8280.a	1.a	$1$	$2$	$2$	$66.116$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2\beta q^{7}+4q^{11}+(2-\beta )q^{13}+\cdots\)
8280.2.a.bj	$8280$	$2$	8280.a	1.a	$1$	$3$	$3$	$66.116$	3.3.2597.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1-\beta _{1})q^{7}+(-2-\beta _{1})q^{11}+\cdots\)