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Results (18 matches)

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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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	107
5243.2.a.a	$5243$	$2$	5243.a	1.a	$1$	$1$	$1$	$41.866$	\(\Q\)	None	✓				749.2.a.a	$1$	$1$	\(-1\)	\(-1\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}+3q^{8}+\cdots\)
5243.2.a.b	$5243$	$2$	5243.a	1.a	$1$	$2$	$2$	$41.866$	\(\Q(\sqrt{5}) \)	None	✓				107.2.a.a	$1$	$0$	\(-1\)	\(3\)	\(3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(2-\beta )q^{3}+(-1+\beta )q^{4}+(2+\cdots)q^{5}+\cdots\)
5243.2.a.c	$5243$	$2$	5243.a	1.a	$1$	$4$	$4$	$41.866$	\(\Q(\zeta_{24})^+\)	None	✓	✓			5243.2.a.c	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+\beta _{3}q^{3}+q^{4}+(2\beta _{1}+2\beta _{3})q^{5}+\cdots\)
5243.2.a.d	$5243$	$2$	5243.a	1.a	$1$	$4$	$4$	$41.866$	4.4.9248.1	None	✓	✓			5243.2.a.d	$2$	$1$	\(4\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{2}q^{3}-q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
5243.2.a.e	$5243$	$2$	5243.a	1.a	$1$	$6$	$6$	$41.866$	6.6.113100800.2	None	✓	✓			5243.2.a.e	$2$	$1$	\(-6\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
5243.2.a.f	$5243$	$2$	5243.a	1.a	$1$	$6$	$6$	$41.866$	6.6.2661761.1	None	✓				749.2.a.b	$1$	$1$	\(-1\)	\(4\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{5})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
5243.2.a.g	$5243$	$2$	5243.a	1.a	$1$	$7$	$7$	$41.866$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓				107.2.a.b	$1$	$1$	\(-1\)	\(-3\)	\(-5\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1-\beta _{2}+\beta _{5})q^{4}+\cdots\)
5243.2.a.h	$5243$	$2$	5243.a	1.a	$1$	$10$	$10$	$41.866$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓			5243.2.a.h	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{6}q^{2}-\beta _{8}q^{3}+(2-\beta _{7})q^{4}+(\beta _{8}+\cdots)q^{5}+\cdots\)
5243.2.a.i	$5243$	$2$	5243.a	1.a	$1$	$12$	$12$	$41.866$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓				749.2.a.c	$1$	$0$	\(0\)	\(5\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5243.2.a.j	$5243$	$2$	5243.a	1.a	$1$	$14$	$14$	$41.866$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓				749.2.a.d	$1$	$1$	\(1\)	\(-5\)	\(-2\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+\beta _{8}q^{5}+\cdots\)
5243.2.a.k	$5243$	$2$	5243.a	1.a	$1$	$20$	$20$	$41.866$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓				749.2.a.e	$1$	$0$	\(2\)	\(-3\)	\(2\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{7}q^{3}+(2+\beta _{2})q^{4}+\beta _{5}q^{5}+\cdots\)
5243.2.a.l	$5243$	$2$	5243.a	1.a	$1$	$32$	$32$	$41.866$		None	✓	✓			5243.2.a.l	$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
5243.2.a.m	$5243$	$2$	5243.a	1.a	$1$	$35$	$35$	$41.866$		None	✓		✓		749.2.e.a	$1$	$1$	\(0\)	\(-11\)	\(-13\)	\(0\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
5243.2.a.n	$5243$	$2$	5243.a	1.a	$1$	$35$	$35$	$41.866$		None	✓				749.2.e.b	$1$	$1$	\(0\)	\(-9\)	\(-15\)	\(0\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
5243.2.a.o	$5243$	$2$	5243.a	1.a	$1$	$35$	$35$	$41.866$		None	✓		✓		749.2.e.b	$1$	$0$	\(0\)	\(9\)	\(15\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
5243.2.a.p	$5243$	$2$	5243.a	1.a	$1$	$35$	$35$	$41.866$		None	✓				749.2.e.a	$1$	$0$	\(0\)	\(11\)	\(13\)	\(0\)		$+$	$-$	$-$		$\mathrm{SU}(2)$
5243.2.a.q	$5243$	$2$	5243.a	1.a	$1$	$38$	$38$	$41.866$		None	✓	✓	✓		5243.2.a.q	$2$	$1$	\(-6\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
5243.2.a.r	$5243$	$2$	5243.a	1.a	$1$	$66$	$66$	$41.866$		None	✓	✓	✓		5243.2.a.r	$2$	$0$	\(6\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$		$\mathrm{SU}(2)$

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