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Results (8 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	107
7704.2.a.u	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{33}) \)	None	✓	✓			7704.2.a.u	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{5}+(-1-\beta )q^{13}+(1+\beta )q^{17}+\cdots\)
7704.2.a.v	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{5}) \)	None	✓	✓			7704.2.a.v	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+(-1-\beta )q^{7}+(-4+3\beta )q^{11}+\cdots\)
7704.2.a.w	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{5}) \)	None	✓				2568.2.a.l	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-3\beta )q^{5}+(-2+3\beta )q^{7}+(-1+\cdots)q^{11}+\cdots\)
7704.2.a.x	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{3}) \)	None	✓				856.2.a.f	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(1-\beta )q^{7}+(1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
7704.2.a.y	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{5}) \)	None	✓	✓			7704.2.a.v	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-1-\beta )q^{7}+(4-3\beta )q^{11}+\cdots\)
7704.2.a.z	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{5}) \)	None	✓				856.2.a.e	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-1+2\beta )q^{7}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
7704.2.a.ba	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{33}) \)	None	✓	✓			7704.2.a.u	$1$	$1$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+(-1-\beta )q^{13}+(-1-\beta )q^{17}+\cdots\)
7704.2.a.bb	$7704$	$2$	7704.a	1.a	$1$	$2$	$2$	$61.517$	\(\Q(\sqrt{5}) \)	None	✓				2568.2.a.k	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{5}+(-2+\beta )q^{7}+(-1+3\beta )q^{11}+\cdots\)