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
576.8.a.a	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-556\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-556q^{5}-8898q^{13}+5816q^{17}+\cdots\)
576.8.a.r	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(508\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+508q^{7}+14614q^{13}-57448q^{19}+\cdots\)
576.8.a.ba	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(556\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+556q^{5}-8898q^{13}-5816q^{17}+\cdots\)
576.8.a.bb	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{435}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-280\)	\(0\)		$-$	$+$	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-140q^{5}+\beta q^{7}+4\beta q^{11}+2238q^{13}+\cdots\)
576.8.a.bc	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-224\)	\(-840\)		$-$	$+$	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-112+\beta )q^{5}+(-420+4\beta )q^{7}+\cdots\)
576.8.a.bi	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-520\)		$-$	$+$	$-$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-260q^{7}-20\beta q^{11}-6890q^{13}+\cdots\)
576.8.a.bp	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(224\)	\(-840\)		$-$	$+$	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(112+\beta )q^{5}+(-420-4\beta )q^{7}+(320+\cdots)q^{11}+\cdots\)
576.8.a.br	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{435}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(280\)	\(0\)		$-$	$+$	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+140q^{5}+\beta q^{7}-4\beta q^{11}+2238q^{13}+\cdots\)