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
4608.2.a.a	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+(-2-\beta )q^{7}+2q^{11}+\cdots\)
4608.2.a.d	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+\beta q^{7}+(2-2\beta )q^{11}+\cdots\)
4608.2.a.e	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+(2+\beta )q^{7}-2q^{11}+\cdots\)
4608.2.a.f	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{5}-4q^{7}-\beta q^{11}+2\beta q^{13}+\cdots\)
4608.2.a.h	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-\beta q^{7}-2q^{11}-2q^{17}+4q^{19}+\cdots\)
4608.2.a.j	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+\beta q^{7}+2q^{11}-2q^{17}-4q^{19}+\cdots\)
4608.2.a.k	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-2}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(2-3\beta )q^{11}+4\beta q^{17}+(-6+\beta )q^{19}+\cdots\)
4608.2.a.o	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}-\beta q^{7}+(-2-2\beta )q^{11}+\cdots\)
4608.2.a.p	$4608$	$2$	4608.a	1.a	$1$	$2$	$2$	$36.795$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2\beta q^{7}-3\beta q^{11}-6q^{13}+\cdots\)
4608.2.a.t	$4608$	$2$	4608.a	1.a	$1$	$4$	$4$	$36.795$	4.4.4352.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}-\beta _{3}q^{7}+(-2-\beta _{2})q^{11}+\cdots\)