Newform search results

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

Results (11 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.c	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+q^{9}+4q^{11}-\beta q^{13}+\cdots\)
3072.2.a.d	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2\beta q^{5}-3\beta q^{7}+q^{9}+4q^{11}+\cdots\)
3072.2.a.f	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2\beta q^{5}+3\beta q^{7}+q^{9}-4q^{11}+\cdots\)
3072.2.a.h	$3072$	$2$	3072.a	1.a	$1$	$2$	$2$	$24.530$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta q^{5}-2\beta q^{7}+q^{9}-3\beta q^{13}+\cdots\)
3072.2.a.l	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}+(\beta _{1}+\beta _{2})q^{5}+\beta _{2}q^{7}+q^{9}+\cdots\)
3072.2.a.m	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(8\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(-\beta _{2}-\beta _{3})q^{5}+(2-\beta _{3})q^{7}+\cdots\)
3072.2.a.n	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	4.4.4352.1	None	✓	$1$	$0$	\(0\)	\(-4\)	\(4\)	\(-4\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta _{3})q^{5}+(-1-\beta _{2})q^{7}+\cdots\)
3072.2.a.q	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{2}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+q^{9}+\cdots\)
3072.2.a.r	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{3}+(\beta _{1}+\beta _{2})q^{5}-\beta _{2}q^{7}+q^{9}+\cdots\)
3072.2.a.s	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(8\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(\beta _{2}-\beta _{3})q^{5}+(2+\beta _{3})q^{7}+q^{9}+\cdots\)
3072.2.a.t	$3072$	$2$	3072.a	1.a	$1$	$4$	$4$	$24.530$	4.4.4352.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(4\)	\(4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(1+\beta _{3})q^{5}+(1+\beta _{2})q^{7}+q^{9}+\cdots\)