Newform search results

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

Results (9 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
256.8.a.a	$256$	$8$	256.a	1.a	$1$	$1$	$1$	$79.971$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(0\)	\(-86\)	\(0\)	\(0\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-86q^{3}+5209q^{9}+8814q^{11}-22182q^{17}+\cdots\)
256.8.a.c	$256$	$8$	256.a	1.a	$1$	$1$	$1$	$79.971$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(556\)	\(0\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+556q^{5}-3^{7}q^{9}-13108q^{13}+40094q^{17}+\cdots\)
256.8.a.f	$256$	$8$	256.a	1.a	$1$	$2$	$2$	$79.971$	\(\Q(\sqrt{46}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-360\)	\(0\)		$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-180q^{5}+4\beta q^{7}+757q^{9}+\cdots\)
256.8.a.i	$256$	$8$	256.a	1.a	$1$	$2$	$2$	$79.971$	\(\Q(\sqrt{435}) \)	None	✓	$2$	$0$	\(0\)	\(60\)	\(0\)	\(0\)		$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+30q^{3}+\beta q^{5}+2\beta q^{7}-1287q^{9}+\cdots\)
256.8.a.l	$256$	$8$	256.a	1.a	$1$	$4$	$4$	$79.971$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$2^{10}$	$\mathrm{SU}(2)$	\(q-3\beta _{1}q^{3}-17\beta _{3}q^{5}+29\beta _{2}q^{7}-1827q^{9}+\cdots\)
256.8.a.n	$256$	$8$	256.a	1.a	$1$	$4$	$4$	$79.971$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$2^{10}\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{3}q^{5}-71\beta _{1}q^{7}+4573q^{9}+\cdots\)
256.8.a.o	$256$	$8$	256.a	1.a	$1$	$4$	$4$	$79.971$	4.4.3484860.2	None	✓	$2$	$0$	\(0\)	\(0\)	\(304\)	\(0\)		$+$	$+$	$2^{17}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(76-\beta _{1})q^{5}+(\beta _{2}-\beta _{3})q^{7}+\cdots\)
256.8.a.p	$256$	$8$	256.a	1.a	$1$	$4$	$4$	$79.971$	\(\Q(\sqrt{3}, \sqrt{601})\)	None	✓	$2$	$0$	\(0\)	\(80\)	\(0\)	\(0\)		$+$	$+$	$2^{11}$	$\mathrm{SU}(2)$	\(q+(20+\beta _{1})q^{3}+(-\beta _{2}-\beta _{3})q^{5}+(7\beta _{2}+\cdots)q^{7}+\cdots\)
256.8.a.r	$256$	$8$	256.a	1.a	$1$	$6$	$6$	$79.971$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(688\)		$+$	$+$	$2^{27}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(115-\beta _{4}+\cdots)q^{7}+\cdots\)