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

Results (5 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	59
354.4.a.b	$354$	$4$	354.a	1.a	$1$	$2$	$2$	$20.887$	\(\Q(\sqrt{51}) \)	None	✓	$1$	$0$	\(-4\)	\(6\)	\(26\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(13+\beta )q^{5}+\cdots\)
354.4.a.e	$354$	$4$	354.a	1.a	$1$	$3$	$3$	$20.887$	3.3.45581.1	None	✓	$1$	$0$	\(-6\)	\(-9\)	\(4\)	\(13\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(2-\beta _{1}+\beta _{2})q^{5}+\cdots\)
354.4.a.f	$354$	$4$	354.a	1.a	$1$	$3$	$3$	$20.887$	3.3.18989.1	None	✓	$1$	$0$	\(-6\)	\(9\)	\(-28\)	\(26\)		$+$	$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-9+\beta _{1}+\beta _{2})q^{5}+\cdots\)
354.4.a.h	$354$	$4$	354.a	1.a	$1$	$4$	$4$	$20.887$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(-12\)	\(22\)	\(13\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(5+\beta _{1}-\beta _{3})q^{5}+\cdots\)
354.4.a.i	$354$	$4$	354.a	1.a	$1$	$6$	$6$	$20.887$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(18\)	\(20\)	\(26\)		$-$	$-$	$+$	$+$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(3+\beta _{1})q^{5}+\cdots\)