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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	Twist minimal	Largest	Maximal	Minimal twist	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	7
105.4.a.a	$105$	$4$	105.a	1.a	$1$	$1$	$1$	$6.195$	\(\Q\)	None	✓	✓			105.4.a.a	$1$	$0$	\(0\)	\(-3\)	\(5\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{4}+5q^{5}+7q^{7}+9q^{9}+\cdots\)
105.4.a.b	$105$	$4$	105.a	1.a	$1$	$1$	$1$	$6.195$	\(\Q\)	None	✓	✓			105.4.a.b	$1$	$0$	\(5\)	\(-3\)	\(5\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}-3q^{3}+17q^{4}+5q^{5}-15q^{6}+\cdots\)
105.4.a.c	$105$	$4$	105.a	1.a	$1$	$2$	$2$	$6.195$	\(\Q(\sqrt{17}) \)	None	✓	✓	✓	✓	105.4.a.c	$1$	$0$	\(-7\)	\(-6\)	\(-10\)	\(-14\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{2}-3q^{3}+(5+7\beta )q^{4}+\cdots\)
105.4.a.f	$105$	$4$	105.a	1.a	$1$	$2$	$2$	$6.195$	\(\Q(\sqrt{65}) \)	None	✓	✓	✓	✓	105.4.a.f	$1$	$0$	\(1\)	\(6\)	\(10\)	\(-14\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+3q^{3}+(8+\beta )q^{4}+5q^{5}+3\beta q^{6}+\cdots\)
105.4.a.g	$105$	$4$	105.a	1.a	$1$	$2$	$2$	$6.195$	\(\Q(\sqrt{41}) \)	None	✓	✓	✓	✓	105.4.a.g	$1$	$0$	\(3\)	\(6\)	\(-10\)	\(14\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3q^{3}+(3+3\beta )q^{4}-5q^{5}+\cdots\)