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Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
6012.2.a.a	$6012$	$2$	6012.a	1.a	$1$	$2$	$2$	$48.006$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+(2-\beta )q^{7}+(5-\beta )q^{13}-\beta q^{17}+\cdots\)
6012.2.a.b	$6012$	$2$	6012.a	1.a	$1$	$3$	$3$	$48.006$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{5}+2\beta _{2}q^{7}+(-1-\beta _{1}-\beta _{2})q^{11}+\cdots\)
6012.2.a.c	$6012$	$2$	6012.a	1.a	$1$	$3$	$3$	$48.006$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+2\beta _{2}q^{7}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
6012.2.a.d	$6012$	$2$	6012.a	1.a	$1$	$5$	$5$	$48.006$	5.5.826865.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-10\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+(2-\beta _{3})q^{7}+(-\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{11}+\cdots\)
6012.2.a.e	$6012$	$2$	6012.a	1.a	$1$	$5$	$5$	$48.006$	5.5.149169.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{3}+\beta _{4})q^{5}+(-\beta _{1}-\beta _{4})q^{7}+\cdots\)
6012.2.a.f	$6012$	$2$	6012.a	1.a	$1$	$5$	$5$	$48.006$	5.5.161121.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(7\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3}+\beta _{4})q^{5}+(-1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
6012.2.a.g	$6012$	$2$	6012.a	1.a	$1$	$7$	$7$	$48.006$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-12\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
6012.2.a.h	$6012$	$2$	6012.a	1.a	$1$	$9$	$9$	$48.006$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-9\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{5}-\beta _{6}q^{7}+(-1+\beta _{5}+\cdots)q^{11}+\cdots\)
6012.2.a.i	$6012$	$2$	6012.a	1.a	$1$	$9$	$9$	$48.006$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(-\beta _{3}-\beta _{6})q^{7}+(1+\beta _{7}+\cdots)q^{11}+\cdots\)
6012.2.a.j	$6012$	$2$	6012.a	1.a	$1$	$10$	$10$	$48.006$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{5}+\beta _{1}q^{7}+(-\beta _{2}+\beta _{3}+\cdots)q^{11}+\cdots\)
6012.2.a.k	$6012$	$2$	6012.a	1.a	$1$	$10$	$10$	$48.006$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{5}+\beta _{1}q^{7}+(\beta _{2}-\beta _{3}-\beta _{6}+\cdots)q^{11}+\cdots\)
6012.2.h.a	$6012$	$2$	6012.h	501.c	$2$	$56$	$56$	$48.006$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$