Newform search results

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

Results (7 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	7
4032.2.a.c	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+q^{7}-2q^{11}+2q^{13}+4q^{19}+\cdots\)
4032.2.a.d	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+q^{7}+2q^{17}+2q^{19}-8q^{23}+\cdots\)
4032.2.a.u	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-6q^{11}-2q^{13}+4q^{19}+6q^{23}+\cdots\)
4032.2.a.w	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}+4q^{13}-6q^{17}-2q^{19}-5q^{25}+\cdots\)
4032.2.a.x	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}+2q^{11}+2q^{13}-4q^{17}-4q^{19}+\cdots\)
4032.2.a.bh	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{7}-6q^{13}+2q^{17}-4q^{19}+\cdots\)
4032.2.a.bw	$4032$	$2$	4032.a	1.a	$1$	$2$	$2$	$32.196$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+q^{7}+(-2-2\beta )q^{11}+\cdots\)