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	7
448.4.a.a	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-10\)	\(8\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-10q^{3}+8q^{5}+7q^{7}+73q^{9}-40q^{11}+\cdots\)
448.4.a.e	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-16\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2^{4}q^{5}+7q^{7}-23q^{9}-8q^{11}+\cdots\)
448.4.a.h	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(16\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2^{4}q^{5}+7q^{7}-23q^{9}+24q^{11}+\cdots\)
448.4.a.n	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-8\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6q^{3}-8q^{5}+7q^{7}+9q^{9}+56q^{11}+\cdots\)
448.4.a.o	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(14\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}+14q^{5}+7q^{7}+37q^{9}-28q^{11}+\cdots\)
448.4.a.t	$448$	$4$	448.a	1.a	$1$	$2$	$2$	$26.433$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(6\)	\(14\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{3}+(3-\beta )q^{5}+7q^{7}+(19+\cdots)q^{9}+\cdots\)
448.4.a.w	$448$	$4$	448.a	1.a	$1$	$3$	$3$	$26.433$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(21\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(2+2\beta _{1}+\beta _{2})q^{5}+7q^{7}+\cdots\)