Newform search results

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

Results (6 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	7
1008.4.a.b	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-18\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-18q^{5}-7q^{7}-72q^{11}-34q^{13}+\cdots\)
1008.4.a.f	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}-12q^{11}-82q^{13}+\cdots\)
1008.4.a.h	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}+6^{2}q^{11}+62q^{13}+\cdots\)
1008.4.a.r	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+12q^{5}-7q^{7}+48q^{11}+56q^{13}+\cdots\)
1008.4.a.v	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(18\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+18q^{5}-7q^{7}-6^{2}q^{11}-34q^{13}+\cdots\)
1008.4.a.ba	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-14\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{5}-7q^{7}+(-3+5\beta )q^{11}+\cdots\)