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	3	29
4176.2.a.a	$4176$	$2$	4176.a	1.a	$1$	$1$	$1$	$33.346$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-3q^{7}+q^{11}+q^{13}+q^{17}+\cdots\)
4176.2.a.l	$4176$	$2$	4176.a	1.a	$1$	$1$	$1$	$33.346$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+3q^{11}-q^{13}+4q^{23}+\cdots\)
4176.2.a.o	$4176$	$2$	4176.a	1.a	$1$	$1$	$1$	$33.346$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}-2q^{11}+4q^{13}-5q^{17}+\cdots\)
4176.2.a.s	$4176$	$2$	4176.a	1.a	$1$	$1$	$1$	$33.346$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-3q^{11}+q^{13}+q^{17}-6q^{23}+\cdots\)
4176.2.a.bb	$4176$	$2$	4176.a	1.a	$1$	$1$	$1$	$33.346$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{7}-3q^{11}-7q^{13}-3q^{17}+\cdots\)
4176.2.a.be	$4176$	$2$	4176.a	1.a	$1$	$1$	$1$	$33.346$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-2q^{7}-3q^{11}-5q^{13}+4q^{17}+\cdots\)
4176.2.a.bf	$4176$	$2$	4176.a	1.a	$1$	$1$	$1$	$33.346$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-q^{7}-2q^{11}+4q^{13}-7q^{17}+\cdots\)
4176.2.a.bl	$4176$	$2$	4176.a	1.a	$1$	$2$	$2$	$33.346$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+(-1-\beta )q^{7}+(3-\beta )q^{11}+\cdots\)