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Results (18 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2564.1.d.a	$2564$	$1$	2564.d	2564.d	$2$	$1$	$1$	$1.280$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-641}) \)	\(\Q(\sqrt{641}) \)	✓	✓			2564.1.d.a	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)		$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}-q^{9}+2q^{10}+\cdots\)
2564.1.d.b	$2564$	$1$	2564.d	2564.d	$2$	$3$	$3$	$1.280$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-641}) \)	None	✓	✓			2564.1.d.b	$2$	$0$	\(3\)	\(-1\)	\(-1\)	\(0\)		$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
2564.1.d.c	$2564$	$1$	2564.d	2564.d	$2$	$3$	$3$	$1.280$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-641}) \)	None	✓	✓			2564.1.d.b	$2$	$0$	\(3\)	\(1\)	\(-1\)	\(0\)		$1$		\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
2564.1.d.d	$2564$	$1$	2564.d	2564.d	$2$	$6$	$6$	$1.280$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-641}) \)	None	✓	✓	✓		2564.1.d.d	$4$	$0$	\(-6\)	\(0\)	\(2\)	\(0\)		$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)
2564.1.f.a	$2564$	$1$	2564.f	2564.f	$4$	$2$	$1$	$1.280$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.f.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-iq^{2}-q^{4}+iq^{5}+iq^{8}+iq^{9}+\cdots\)
2564.1.i.a	$2564$	$1$	2564.i	2564.i	$8$	$4$	$1$	$1.280$	\(\Q(\zeta_{8})\)	$D_{8}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.i.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{8}+\zeta_{8}q^{9}+\cdots\)
2564.1.j.a	$2564$	$1$	2564.j	2564.j	$10$	$4$	$1$	$1.280$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.j.a	$4$	$0$	\(-4\)	\(0\)	\(2\)	\(0\)		$1$		\(q-q^{2}+q^{4}+(\zeta_{10}-\zeta_{10}^{4})q^{5}-q^{8}+\cdots\)
2564.1.l.a	$2564$	$1$	2564.l	2564.l	$10$	$4$	$1$	$1.280$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.l.a	$4$	$0$	\(4\)	\(0\)	\(-2\)	\(0\)		$1$		\(q+q^{2}+q^{4}+(-\zeta_{10}+\zeta_{10}^{4})q^{5}+q^{8}+\cdots\)
2564.1.n.a	$2564$	$1$	2564.n	2564.n	$16$	$8$	$1$	$1.280$	\(\Q(\zeta_{16})\)	$D_{16}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.n.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{6}q^{4}+(\zeta_{16}+\zeta_{16}^{5}+\cdots)q^{5}+\cdots\)
2564.1.o.a	$2564$	$1$	2564.o	2564.o	$20$	$8$	$1$	$1.280$	\(\Q(\zeta_{20})\)	$D_{20}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.o.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{20}^{5}q^{2}-q^{4}+(-\zeta_{20}-\zeta_{20}^{9}+\cdots)q^{5}+\cdots\)
2564.1.q.a	$2564$	$1$	2564.q	2564.q	$32$	$16$	$1$	$1.280$	\(\Q(\zeta_{32})\)	$D_{32}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.q.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{32}^{11}q^{2}-\zeta_{32}^{6}q^{4}+(\zeta_{32}^{9}-\zeta_{32}^{13}+\cdots)q^{5}+\cdots\)
2564.1.s.a	$2564$	$1$	2564.s	2564.s	$40$	$16$	$1$	$1.280$	\(\Q(\zeta_{40})\)	$D_{40}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.s.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{40}^{5}q^{2}+\zeta_{40}^{10}q^{4}+(-\zeta_{40}^{3}+\cdots)q^{5}+\cdots\)
2564.1.w.a	$2564$	$1$	2564.w	2564.w	$80$	$32$	$1$	$1.280$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.w.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{80}^{5}q^{2}+\zeta_{80}^{10}q^{4}+(\zeta_{80}^{3}+\zeta_{80}^{7}+\cdots)q^{5}+\cdots\)
2564.1.bb.a	$2564$	$1$	2564.bb	2564.ab	$160$	$64$	$1$	$1.280$	\(\Q(\zeta_{160})\)	$D_{160}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2564.1.bb.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{160}^{35}q^{2}+\zeta_{160}^{70}q^{4}+(-\zeta_{160}+\cdots)q^{5}+\cdots\)
2564.2.a.a	$2564$	$2$	2564.a	1.a	$1$	$20$	$20$	$20.474$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	2564.2.a.a	$1$	$1$	\(0\)	\(-5\)	\(-5\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{14}q^{5}-\beta _{15}q^{7}+\beta _{2}q^{9}+\cdots\)
2564.2.a.b	$2564$	$2$	2564.a	1.a	$1$	$34$	$34$	$20.474$		$_{}$	None	None	✓	✓	✓	✓	2564.2.a.b	$1$	$0$	\(0\)	\(5\)	\(7\)	\(0\)	$-$		$\mathrm{SU}(2)$
2564.2.c.a	$2564$	$2$	2564.c	641.b	$2$	$2$	$2$	$20.474$	\(\Q(\sqrt{-2}) \)	$_{}$	None	None		✓			2564.2.c.a	$2$	$0$	\(0\)	\(0\)	\(-8\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{3}-4q^{5}+4q^{7}+q^{9}-4q^{13}+\cdots\)
2564.2.c.b	$2564$	$2$	2564.c	641.b	$2$	$52$	$52$	$20.474$		$_{}$	None	None		✓	✓		2564.2.c.b	$2$	$0$	\(0\)	\(0\)	\(6\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$