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	7	23
2576.2.a.a	$2576$	$2$	2576.a	1.a	$1$	$1$	$1$	$20.569$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(2\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{5}+q^{7}+6q^{9}-2q^{11}+\cdots\)
2576.2.a.k	$2576$	$2$	2576.a	1.a	$1$	$1$	$1$	$20.569$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{7}-3q^{9}-4q^{13}-4q^{17}+\cdots\)
2576.2.a.q	$2576$	$2$	2576.a	1.a	$1$	$2$	$2$	$20.569$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+\beta )q^{5}+q^{7}-q^{9}-2q^{11}+\cdots\)
2576.2.a.r	$2576$	$2$	2576.a	1.a	$1$	$2$	$2$	$20.569$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2q^{5}+q^{7}+(1+\beta )q^{9}-2\beta q^{11}+\cdots\)