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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	41
6724.2.a.b	$6724$	$2$	6724.a	1.a	$1$	$3$	$3$	$53.691$	3.3.785.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(-7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1+\beta _{1})q^{5}+(-2+\cdots)q^{7}+\cdots\)
6724.2.a.c	$6724$	$2$	6724.a	1.a	$1$	$4$	$4$	$53.691$	4.4.25808.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{2})q^{3}+(2-\beta _{2}+\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots\)
6724.2.a.d	$6724$	$2$	6724.a	1.a	$1$	$4$	$4$	$53.691$	4.4.25088.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{2})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots\)
6724.2.a.f	$6724$	$2$	6724.a	1.a	$1$	$8$	$8$	$53.691$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{6}q^{5}+(\beta _{2}+\beta _{5}+\beta _{6}+\beta _{7})q^{7}+\cdots\)
6724.2.a.g	$6724$	$2$	6724.a	1.a	$1$	$8$	$8$	$53.691$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{6}q^{5}+(-\beta _{2}-\beta _{5}-\beta _{6}+\cdots)q^{7}+\cdots\)
6724.2.a.i	$6724$	$2$	6724.a	1.a	$1$	$12$	$12$	$53.691$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{3}q^{5}+(-\beta _{4}-\beta _{10})q^{7}+\cdots\)
6724.2.a.j	$6724$	$2$	6724.a	1.a	$1$	$16$	$16$	$53.691$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(6\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{4}q^{5}+(\beta _{1}-\beta _{11})q^{7}+(2+\cdots)q^{9}+\cdots\)
6724.2.a.l	$6724$	$2$	6724.a	1.a	$1$	$18$	$18$	$53.691$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(2\)	\(7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{4}+\beta _{7}+\beta _{12}-\beta _{17})q^{5}+\cdots\)