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.b	$256$	$8$	256.a	1.a	$1$	$1$	$1$	$79.971$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-556\)	\(0\)		$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-556q^{5}-3^{7}q^{9}+13108q^{13}+40094q^{17}+\cdots\)
256.8.a.d	$256$	$8$	256.a	1.a	$1$	$1$	$1$	$79.971$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$1$	\(0\)	\(86\)	\(0\)	\(0\)		$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+86q^{3}+5209q^{9}-8814q^{11}-22182q^{17}+\cdots\)
256.8.a.e	$256$	$8$	256.a	1.a	$1$	$2$	$2$	$79.971$	\(\Q(\sqrt{435}) \)	None	✓	$2$	$1$	\(0\)	\(-60\)	\(0\)	\(0\)		$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-30q^{3}+\beta q^{5}-2\beta q^{7}-1287q^{9}+\cdots\)
256.8.a.g	$256$	$8$	256.a	1.a	$1$	$2$	$2$	$79.971$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-2}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+13\beta q^{3}-835q^{9}-181\beta q^{11}+22182q^{17}+\cdots\)
256.8.a.h	$256$	$8$	256.a	1.a	$1$	$2$	$2$	$79.971$	\(\Q(\sqrt{46}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(360\)	\(0\)		$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+180q^{5}-4\beta q^{7}+757q^{9}+\cdots\)
256.8.a.j	$256$	$8$	256.a	1.a	$1$	$4$	$4$	$79.971$	\(\Q(\sqrt{3}, \sqrt{601})\)	None	✓	$2$	$1$	\(0\)	\(-80\)	\(0\)	\(0\)		$-$	$-$	$2^{11}$	$\mathrm{SU}(2)$	\(q+(-20-\beta _{1})q^{3}+(\beta _{2}+\beta _{3})q^{5}+(7\beta _{2}+\cdots)q^{7}+\cdots\)
256.8.a.k	$256$	$8$	256.a	1.a	$1$	$4$	$4$	$79.971$	4.4.3484860.2	None	✓	$2$	$1$	\(0\)	\(0\)	\(-304\)	\(0\)		$-$	$-$	$2^{17}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-76+\beta _{1})q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots\)
256.8.a.m	$256$	$8$	256.a	1.a	$1$	$4$	$4$	$79.971$	\(\Q(\sqrt{2}, \sqrt{85})\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$2^{12}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+21\beta _{1}q^{3}-\beta _{2}q^{5}+\beta _{3}q^{7}+1341q^{9}+\cdots\)
256.8.a.q	$256$	$8$	256.a	1.a	$1$	$6$	$6$	$79.971$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-688\)		$-$	$-$	$2^{27}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(\beta _{1}+\beta _{2})q^{5}+(-115+\beta _{4}+\cdots)q^{7}+\cdots\)