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

Results (13 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
2025.2.a.e	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+3q^{7}-3q^{8}+2q^{11}+\cdots\)
2025.2.a.g	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+(3+\beta )q^{7}+\cdots\)
2025.2.a.i	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{4}+(2+\beta )q^{7}-3q^{8}+\cdots\)
2025.2.a.j	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-2q^{7}-\beta q^{8}+2\beta q^{11}+\cdots\)
2025.2.a.l	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}+(2+\beta )q^{7}+3q^{8}+\cdots\)
2025.2.a.m	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(2+2\beta )q^{4}+(3-\beta )q^{7}+\cdots\)
2025.2.a.o	$2025$	$2$	2025.a	1.a	$1$	$3$	$3$	$16.170$	3.3.564.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-5\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-2+\beta _{1})q^{7}+\cdots\)
2025.2.a.t	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}+2\beta _{3})q^{7}+\beta _{3}q^{8}+\cdots\)
2025.2.a.v	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}-\beta _{2}q^{4}+(1-\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots\)
2025.2.a.w	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{7}+\cdots\)
2025.2.a.x	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{1}+\beta _{3})q^{7}+\cdots\)
2025.2.a.y	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	4.4.11661.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots\)
2025.2.a.z	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	4.4.11661.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{7}+\cdots\)