Newform search results

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

Results (8 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
4400.2.a.i	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{7}-2q^{9}-q^{11}-4q^{13}+\cdots\)
4400.2.a.l	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{7}-2q^{9}-q^{11}+6q^{13}+\cdots\)
4400.2.a.w	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+5q^{7}-2q^{9}-q^{11}-2q^{13}+\cdots\)
4400.2.a.y	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}-q^{11}-3q^{13}+4q^{17}+\cdots\)
4400.2.a.z	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}-q^{11}+4q^{17}+4q^{19}+\cdots\)
4400.2.a.bg	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-2+3\beta )q^{7}+(-1+\cdots)q^{9}+\cdots\)
4400.2.a.bn	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2q^{7}+5q^{9}-q^{11}+(4+\beta )q^{13}+\cdots\)
4400.2.a.bw	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(2+\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)