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

Results (7 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	239
2151.2.a.a	$2151$	$2$	2151.a	1.a	$1$	$2$	$2$	$17.176$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots\)
2151.2.a.b	$2151$	$2$	2151.a	1.a	$1$	$2$	$2$	$17.176$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-6\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}-3q^{5}+(2-2\beta )q^{7}+\cdots\)
2151.2.a.c	$2151$	$2$	2151.a	1.a	$1$	$2$	$2$	$17.176$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-1+2\beta )q^{8}+\cdots\)
2151.2.a.d	$2151$	$2$	2151.a	1.a	$1$	$3$	$3$	$17.176$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(4\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{2})q^{5}-q^{7}+\cdots\)
2151.2.a.e	$2151$	$2$	2151.a	1.a	$1$	$6$	$6$	$17.176$	6.6.1767625.1	None	✓	$1$	$1$	\(2\)	\(0\)	\(-5\)	\(-9\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+(1+\beta _{2}+\beta _{3}-\beta _{4})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
2151.2.a.f	$2151$	$2$	2151.a	1.a	$1$	$7$	$7$	$17.176$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(3\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1+\beta _{6})q^{4}-\beta _{6}q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
2151.2.a.j	$2151$	$2$	2151.a	1.a	$1$	$20$	$20$	$17.176$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-16\)	\(-4\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{9})q^{5}+\cdots\)