Newform search results

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

Results (10 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
8640.2.a.bf	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{7}-2q^{11}-4q^{13}+q^{17}+\cdots\)
8640.2.a.bh	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}+2q^{11}+5q^{13}-8q^{17}+\cdots\)
8640.2.a.bt	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{11}-3q^{17}+q^{19}-3q^{23}+\cdots\)
8640.2.a.bv	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{7}-2q^{11}+3q^{13}+2q^{17}+\cdots\)
8640.2.a.bx	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}-3q^{11}-5q^{13}-3q^{17}+\cdots\)
8640.2.a.bz	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}-2q^{13}+3q^{17}-5q^{19}+\cdots\)
8640.2.a.cb	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}+q^{11}-q^{13}+q^{17}+\cdots\)
8640.2.a.cz	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1+\beta )q^{7}+(-1+\beta )q^{11}+\cdots\)
8640.2.a.da	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1+\beta )q^{7}+(-1-3\beta )q^{11}+\cdots\)
8640.2.a.dn	$8640$	$2$	8640.a	1.a	$1$	$3$	$3$	$68.991$	3.3.1509.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(1\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}-\beta _{2}q^{7}+(\beta _{1}+\beta _{2})q^{11}+(-2+\cdots)q^{13}+\cdots\)