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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	167
3006.2.a.h	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(-6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+2\beta )q^{5}-3q^{7}-q^{8}+\cdots\)
3006.2.a.m	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+(-1+2\beta )q^{7}+q^{8}+\cdots\)
3006.2.a.n	$3006$	$2$	3006.a	1.a	$1$	$2$	$2$	$24.003$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(2+\beta )q^{5}+2\beta q^{7}+q^{8}+\cdots\)
3006.2.a.o	$3006$	$2$	3006.a	1.a	$1$	$3$	$3$	$24.003$	3.3.148.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(3\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1-\beta _{2})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
3006.2.a.q	$3006$	$2$	3006.a	1.a	$1$	$3$	$3$	$24.003$	3.3.1300.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(-3\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
3006.2.a.t	$3006$	$2$	3006.a	1.a	$1$	$5$	$5$	$24.003$	5.5.11256624.1	None	✓	$1$	$0$	\(5\)	\(0\)	\(1\)	\(9\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-\beta _{2}q^{5}+(2-\beta _{4})q^{7}+q^{8}+\cdots\)
3006.2.a.u	$3006$	$2$	3006.a	1.a	$1$	$7$	$7$	$24.003$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-7\)	\(0\)	\(-5\)	\(7\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(1-\beta _{3}+\cdots)q^{7}+\cdots\)
3006.2.a.v	$3006$	$2$	3006.a	1.a	$1$	$10$	$10$	$24.003$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(0\)	\(-4\)	\(6\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-\beta _{1}q^{5}+(1-\beta _{4})q^{7}-q^{8}+\cdots\)
3006.2.a.w	$3006$	$2$	3006.a	1.a	$1$	$10$	$10$	$24.003$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(10\)	\(0\)	\(4\)	\(6\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{1}q^{5}+(1-\beta _{4})q^{7}+q^{8}+\cdots\)