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.b	$448$	$4$	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.c	$448$	$4$	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.f	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-7\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-7q^{7}-23q^{9}+20q^{11}+20q^{13}+\cdots\)
448.4.a.i	$448$	$4$	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.l	$448$	$4$	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.p	$448$	$4$	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.x	$448$	$4$	448.a	1.a	$1$	$3$	$3$	$26.433$	3.3.2981.1	None	✓	$1$	$0$	\(0\)	\(8\)	\(-10\)	\(-21\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(3+\beta _{1})q^{3}+(-3-\beta _{2})q^{5}-7q^{7}+\cdots\)