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
576.8.a.q	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-508\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-508q^{7}+14614q^{13}+57448q^{19}+\cdots\)
576.8.a.bd	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-224\)	\(840\)		$+$	$+$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-112+\beta )q^{5}+(420-4\beta )q^{7}+(320+\cdots)q^{11}+\cdots\)
576.8.a.bj	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(520\)		$+$	$+$	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+260q^{7}+20\beta q^{11}-6890q^{13}+\cdots\)
576.8.a.bq	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(224\)	\(840\)		$+$	$+$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(112+\beta )q^{5}+(420+4\beta )q^{7}+(-320+\cdots)q^{11}+\cdots\)
576.8.a.bs	$576$	$8$	576.a	1.a	$1$	$4$	$4$	$179.934$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{14}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+\beta _{3}q^{7}+(-160-\beta _{1})q^{11}+\cdots\)
576.8.a.bt	$576$	$8$	576.a	1.a	$1$	$4$	$4$	$179.934$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{14}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}-\beta _{3}q^{7}+(160+\beta _{1})q^{11}+\cdots\)