Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	3
3072.2.a.a	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{7}+q^{9}+\beta q^{13}-6q^{17}+\cdots\)
3072.2.a.b	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+2\beta q^{7}+q^{9}-3\beta q^{13}+\cdots\)
3072.2.a.e	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta q^{5}+q^{9}-4q^{11}-\beta q^{13}+\cdots\)
3072.2.a.g	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta q^{7}+q^{9}+\beta q^{13}-6q^{17}+\cdots\)
3072.2.a.i	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	4.4.4352.1	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-4\)	\(4\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{3})q^{5}+(1+\beta _{2})q^{7}+\cdots\)
3072.2.a.j	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-8\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(\beta _{2}-\beta _{3})q^{5}+(-2-\beta _{3})q^{7}+\cdots\)
3072.2.a.k	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$1$	\(0\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{2}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
3072.2.a.o	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	4.4.4352.1	None	✓	$1$	$1$	\(0\)	\(4\)	\(-4\)	\(-4\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta _{3})q^{5}+(-1-\beta _{2})q^{7}+\cdots\)
3072.2.a.p	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(0\)	\(-8\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(-\beta _{2}-\beta _{3})q^{5}+(-2+\beta _{3})q^{7}+\cdots\)