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Results (11 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	7	13
4368.2.a.bb	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{17}) \)	None	✓				2184.2.a.q	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta )q^{5}+q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
4368.2.a.bc	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{33}) \)	None	✓		✓		1092.2.a.g	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}-q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
4368.2.a.bd	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{33}) \)	None	✓		✓		2184.2.a.r	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
4368.2.a.be	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{17}) \)	None	✓				546.2.a.j	$1$	$0$	\(0\)	\(-2\)	\(3\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
4368.2.a.bf	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{17}) \)	None	✓				2184.2.a.n	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta )q^{5}+q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
4368.2.a.bg	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{41}) \)	None	✓				546.2.a.i	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(-2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta q^{5}-q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
4368.2.a.bh	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{57}) \)	None	✓				546.2.a.h	$1$	$1$	\(0\)	\(2\)	\(-1\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta q^{5}-q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
4368.2.a.bi	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{17}) \)	None	✓		✓		2184.2.a.o	$1$	$1$	\(0\)	\(2\)	\(-1\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta q^{5}+q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
4368.2.a.bj	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{2}) \)	None	✓				273.2.a.c	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}-2q^{11}-q^{13}+(2+\cdots)q^{17}+\cdots\)
4368.2.a.bk	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{17}) \)	None	✓		✓		2184.2.a.p	$1$	$0$	\(0\)	\(2\)	\(1\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta q^{5}-q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4368.2.a.bl	$4368$	$2$	4368.a	1.a	$1$	$2$	$2$	$34.879$	\(\Q(\sqrt{5}) \)	None	✓				1092.2.a.f	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-2\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)