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Results (34 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
120.1.i.a	$120$	$1$	120.i	120.i	$2$	$2$	$2$	$0.060$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\)
480.1.i.a	$480$	$1$	480.i	120.i	$2$	$2$	$2$	$0.240$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{3}-iq^{5}-q^{9}-q^{15}-q^{25}+\cdots\)
520.1.bo.a	$520$	$1$	520.bo	520.ao	$4$	$4$	$2$	$0.260$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}^{3}q^{2}+(-\zeta_{8}+\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
600.1.n.a	$600$	$1$	600.n	24.h	$2$	$1$	$1$	$0.299$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
600.1.n.b	$600$	$1$	600.n	24.h	$2$	$1$	$1$	$0.299$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
640.1.e.a	$640$	$1$	640.e	40.e	$2$	$1$	$1$	$0.319$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{5}+q^{9}+2q^{13}+q^{25}-2q^{37}+\cdots\)
640.1.e.b	$640$	$1$	640.e	40.e	$2$	$1$	$1$	$0.319$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{5}+q^{9}-2q^{13}+q^{25}+2q^{37}+\cdots\)
1240.1.e.a	$1240$	$1$	1240.e	1240.e	$2$	$1$	$1$	$0.619$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-310}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}+q^{9}-q^{10}+\cdots\)
1240.1.e.b	$1240$	$1$	1240.e	1240.e	$2$	$1$	$1$	$0.619$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-310}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
1280.1.h.b	$1280$	$1$	1280.h	20.d	$2$	$2$	$2$	$0.639$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{5}-q^{9}-iq^{13}-q^{25}-iq^{37}+\cdots\)
1560.1.y.a	$1560$	$1$	1560.y	1560.y	$2$	$1$	$1$	$0.779$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-390}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
1560.1.y.b	$1560$	$1$	1560.y	1560.y	$2$	$1$	$1$	$0.779$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-390}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1560.1.y.c	$1560$	$1$	1560.y	1560.y	$2$	$1$	$1$	$0.779$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-390}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1560.1.y.d	$1560$	$1$	1560.y	1560.y	$2$	$1$	$1$	$0.779$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-390}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
1720.1.g.e	$1720$	$1$	1720.g	1720.g	$2$	$2$	$2$	$0.858$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-215}) \), \(\Q(\sqrt{-86}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-iq^{5}-2q^{6}+\cdots\)
2080.1.cs.a	$2080$	$1$	2080.cs	520.ao	$4$	$4$	$2$	$1.038$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{8}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{3}q^{5}+q^{9}+\cdots\)
2120.1.bj.a	$2120$	$1$	2120.bj	2120.aj	$4$	$4$	$2$	$1.058$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}-\zeta_{8}^{3}q^{8}+\cdots\)
2400.1.n.a	$2400$	$1$	2400.n	24.h	$2$	$1$	$1$	$1.198$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{9}-q^{27}+2q^{31}-q^{49}+\cdots\)
2400.1.n.b	$2400$	$1$	2400.n	24.h	$2$	$1$	$1$	$1.198$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}+q^{27}+2q^{31}-q^{49}+\cdots\)
2600.1.r.a	$2600$	$1$	2600.r	104.j	$4$	$4$	$2$	$1.298$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}^{3}q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
2680.1.h.e	$2680$	$1$	2680.h	2680.h	$2$	$2$	$2$	$1.337$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-335}) \), \(\Q(\sqrt{-134}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}+iq^{5}+2q^{6}+\cdots\)
2680.1.ba.a	$2680$	$1$	2680.ba	2680.aa	$6$	$4$	$2$	$1.337$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}q^{2}+\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}+\cdots\)
2840.1.p.a	$2840$	$1$	2840.p	2840.p	$2$	$1$	$1$	$1.417$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-710}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(-1\)	\(2\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots\)
2840.1.p.b	$2840$	$1$	2840.p	2840.p	$2$	$1$	$1$	$1.417$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-710}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(1\)	\(-2\)	\(1\)	\(0\)	$1$		\(q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+q^{8}+\cdots\)
3160.1.g.a	$3160$	$1$	3160.g	3160.g	$2$	$1$	$1$	$1.577$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-79}) \), \(\Q(\sqrt{-790}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots\)
3160.1.g.b	$3160$	$1$	3160.g	3160.g	$2$	$1$	$1$	$1.577$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-79}) \), \(\Q(\sqrt{-790}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{9}+q^{10}+\cdots\)
3200.1.g.b	$3200$	$1$	3200.g	8.d	$2$	$2$	$2$	$1.597$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q-q^{9}-iq^{13}-iq^{37}-q^{41}+q^{49}+\cdots\)
3200.1.m.d	$3200$	$1$	3200.m	40.i	$4$	$4$	$2$	$1.597$	\(\Q(\zeta_{8})\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-5}) \)	\(\Q(\sqrt{10}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}$		\(q-\zeta_{8}^{3}q^{3}-3\zeta_{8}^{2}q^{9}+2\zeta_{8}q^{27}+q^{41}+\cdots\)
3240.1.bh.h	$3240$	$1$	3240.bh	360.ah	$6$	$4$	$2$	$1.617$	\(\Q(\zeta_{12})\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
3320.1.j.c	$3320$	$1$	3320.j	3320.j	$2$	$2$	$2$	$1.657$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-415}) \), \(\Q(\sqrt{-166}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{2}-q^{4}-iq^{5}-iq^{8}-q^{9}+q^{10}+\cdots\)
3840.1.c.a	$3840$	$1$	3840.c	15.d	$2$	$1$	$1$	$1.916$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-q^{3}-q^{5}+q^{9}+q^{15}+q^{25}-q^{27}+\cdots\)
3840.1.c.b	$3840$	$1$	3840.c	15.d	$2$	$1$	$1$	$1.916$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{3}+q^{5}+q^{9}-q^{15}+q^{25}-q^{27}+\cdots\)
3840.1.c.c	$3840$	$1$	3840.c	15.d	$2$	$1$	$1$	$1.916$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{3}-q^{5}+q^{9}-q^{15}+q^{25}+q^{27}+\cdots\)
3840.1.c.d	$3840$	$1$	3840.c	15.d	$2$	$1$	$1$	$1.916$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{3}+q^{5}+q^{9}+q^{15}+q^{25}+q^{27}+\cdots\)