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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 90 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2600.1.b.a	$2600$	$1$	2600.b	520.b	$2$	$2$	$2$	$1.298$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots$
2600.1.b.b	$2600$	$1$	2600.b	520.b	$2$	$2$	$2$	$1.298$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{7}-iq^{8}+\cdots$
2600.1.o.a	$2600$	$1$	2600.o	104.h	$2$	$1$	$1$	$1.298$	$\Q$	$D_{2}$	$\Q(\sqrt{-10}) $, $\Q(\sqrt{-26}) $	$\Q(\sqrt{65}) $	✓	$4$	$0$	$-1$	$0$	$0$	$-2$		$1$		$q-q^{2}+q^{4}-2q^{7}-q^{8}-q^{9}+q^{13}+\cdots$
2600.1.o.b	$2600$	$1$	2600.o	104.h	$2$	$1$	$1$	$1.298$	$\Q$	$D_{3}$	$\Q(\sqrt{-26}) $	None	✓	$2$	$0$	$-1$	$1$	$0$	$1$		$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
2600.1.o.c	$2600$	$1$	2600.o	104.h	$2$	$1$	$1$	$1.298$	$\Q$	$D_{2}$	$\Q(\sqrt{-10}) $, $\Q(\sqrt{-26}) $	$\Q(\sqrt{65}) $	✓	$4$	$0$	$1$	$0$	$0$	$2$		$1$		$q+q^{2}+q^{4}+2q^{7}+q^{8}-q^{9}-q^{13}+\cdots$
2600.1.o.d	$2600$	$1$	2600.o	104.h	$2$	$1$	$1$	$1.298$	$\Q$	$D_{3}$	$\Q(\sqrt{-26}) $	None	✓	$2$	$0$	$1$	$1$	$0$	$-1$		$1$		$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
2600.1.o.e	$2600$	$1$	2600.o	104.h	$2$	$2$	$2$	$1.298$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-26}) $	None	✓	$4$	$0$	$-2$	$0$	$0$	$2$		$1$		$q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+q^{7}-q^{8}+\cdots$
2600.1.o.f	$2600$	$1$	2600.o	104.h	$2$	$2$	$2$	$1.298$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-26}) $	None	✓	$4$	$0$	$2$	$0$	$0$	$-2$		$1$		$q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}-q^{7}+q^{8}+\cdots$
2600.1.r.a	$2600$	$1$	2600.r	104.j	$4$	$4$	$2$	$1.298$	$\Q(\zeta_{8})$	$D_{4}$	None	$\Q(\sqrt{10}) $		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots$
2600.1.u.a	$2600$	$1$	2600.u	65.g	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$S_{4}$	None	None		$2$	$0$	$0$	$0$	$0$	$-2$		$1$		$q+iq^{3}+(-1+i)q^{7}+(-1-i)q^{11}+\cdots$
2600.1.u.b	$2600$	$1$	2600.u	65.g	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$S_{4}$	None	None		$2$	$0$	$0$	$0$	$0$	$2$		$1$		$q-iq^{3}+(1-i)q^{7}+(-1-i)q^{11}+\cdots$
2600.1.x.a	$2600$	$1$	2600.x	520.x	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$-2$	$0$	$0$	$0$		$1$		$q-q^{2}+q^{4}-q^{8}+iq^{9}+(-1+i+\cdots)q^{11}+\cdots$
2600.1.x.b	$2600$	$1$	2600.x	520.x	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$2$	$0$	$0$	$0$		$1$		$q+q^{2}+q^{4}+q^{8}+iq^{9}+(-1+i+\cdots)q^{11}+\cdots$
2600.1.bg.a	$2600$	$1$	2600.bg	520.ag	$4$	$4$	$2$	$1.298$	$\Q(\zeta_{8})$	$D_{4}$	None	$\Q(\sqrt{26}) $		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{8}+\zeta_{8}^{2}q^{9}+\cdots$
2600.1.bk.a	$2600$	$1$	2600.bk	520.ak	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-iq^{2}-q^{4}+iq^{8}-iq^{9}+(-1+i+\cdots)q^{11}+\cdots$
2600.1.bk.b	$2600$	$1$	2600.bk	520.ak	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+iq^{2}-q^{4}-iq^{8}-iq^{9}+(-1+i+\cdots)q^{11}+\cdots$
2600.1.bl.a	$2600$	$1$	2600.bl	13.d	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$S_{4}$	None	None		$2$	$0$	$0$	$-2$	$0$	$2$		$1$		$q-q^{3}+(1+i)q^{7}+(-1-i)q^{11}+q^{13}+\cdots$
2600.1.bl.b	$2600$	$1$	2600.bl	13.d	$4$	$2$	$1$	$1.298$	$\Q(\sqrt{-1}) $	$S_{4}$	None	None		$2$	$0$	$0$	$2$	$0$	$-2$		$1$		$q+q^{3}+(-1-i)q^{7}+(-1-i)q^{11}+\cdots$
2600.1.br.a	$2600$	$1$	2600.br	104.p	$6$	$2$	$1$	$1.298$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$-1$	$0$	$0$	$1$		$1$		$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+q^{8}+\zeta_{6}q^{9}+\cdots$
2600.1.br.b	$2600$	$1$	2600.br	104.p	$6$	$2$	$1$	$1.298$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$1$	$0$	$0$	$-1$		$1$		$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{7}-q^{8}+\zeta_{6}q^{9}+\cdots$
2600.1.bt.a	$2600$	$1$	2600.bt	104.n	$6$	$4$	$2$	$1.298$	$\Q(\zeta_{12})$	$D_{3}$	$\Q(\sqrt{-10}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{3}q^{8}+\cdots$
2600.1.ck.a	$2600$	$1$	2600.ck	2600.bk	$10$	$4$	$1$	$1.298$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$-1$	$-2$	$4$	$-2$		$1$		$q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}+q^{5}+\cdots$
2600.1.ck.b	$2600$	$1$	2600.ck	2600.bk	$10$	$4$	$1$	$1.298$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$1$	$-2$	$-4$	$2$		$1$		$q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}-q^{5}+\cdots$
2600.1.ck.c	$2600$	$1$	2600.ck	2600.bk	$10$	$8$	$2$	$1.298$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$-2$	$2$	$-4$	$2$		$1$		$q-\zeta_{30}^{9}q^{2}+\zeta_{30}^{3}q^{3}-\zeta_{30}^{3}q^{4}+\cdots$
2600.1.ck.d	$2600$	$1$	2600.ck	2600.bk	$10$	$8$	$2$	$1.298$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$2$	$2$	$4$	$-2$		$1$		$q+\zeta_{30}^{9}q^{2}+\zeta_{30}^{3}q^{3}-\zeta_{30}^{3}q^{4}+\cdots$
2600.1.cp.a	$2600$	$1$	2600.cp	2600.bp	$10$	$8$	$2$	$1.298$	$\Q(\zeta_{20})$	$D_{10}$	$\Q(\sqrt{-26}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{20}^{7}q^{2}-\zeta_{20}^{4}q^{4}-\zeta_{20}^{5}q^{5}+\cdots$
2600.1.cp.b	$2600$	$1$	2600.cp	2600.bp	$10$	$16$	$4$	$1.298$	$\Q(\zeta_{60})$	$D_{30}$	$\Q(\sqrt{-26}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{60}^{27}q^{2}+(-\zeta_{60}^{4}-\zeta_{60}^{14})q^{3}+\cdots$
2600.1.cy.a	$2600$	$1$	2600.cy	520.bi	$12$	$4$	$1$	$1.298$	$\Q(\zeta_{12})$	$D_{12}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}+\zeta_{12}^{3}+\cdots)q^{7}+\cdots$
2600.1.cy.b	$2600$	$1$	2600.cy	520.bi	$12$	$4$	$1$	$1.298$	$\Q(\zeta_{12})$	$D_{12}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}-\zeta_{12}^{3}+\cdots)q^{7}+\cdots$
2600.1.dl.a	$2600$	$1$	2600.dl	520.bv	$12$	$4$	$1$	$1.298$	$\Q(\zeta_{12})$	$D_{12}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$-2$	$0$	$0$	$6$		$1$		$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(1-\zeta_{12}^{4}+\cdots)q^{7}+\cdots$
2600.1.dl.b	$2600$	$1$	2600.dl	520.bv	$12$	$4$	$1$	$1.298$	$\Q(\zeta_{12})$	$D_{12}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$2$	$0$	$0$	$-6$		$1$		$q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(-1+\zeta_{12}^{4}+\cdots)q^{7}+\cdots$
2600.2.a.a	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-3$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-2q^{7}+6q^{9}-2q^{11}+q^{13}+\cdots$
2600.2.a.b	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$0$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-3q^{7}+q^{9}+3q^{11}-q^{13}+\cdots$
2600.2.a.c	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}+2q^{11}-q^{13}-2q^{17}+\cdots$
2600.2.a.d	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+3q^{7}+q^{9}+q^{11}-q^{13}+\cdots$
2600.2.a.e	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$-5$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-5q^{7}-2q^{9}-2q^{11}+q^{13}+\cdots$
2600.2.a.f	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{9}-2q^{11}+q^{13}-2q^{17}+\cdots$
2600.2.a.g	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-3q^{9}-2q^{11}-q^{13}-4q^{17}+\cdots$
2600.2.a.h	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{9}-4q^{11}+q^{13}+6q^{17}+4q^{19}+\cdots$
2600.2.a.i	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-3q^{9}-2q^{11}+q^{13}+4q^{17}+\cdots$
2600.2.a.j	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{9}-2q^{11}-q^{13}+2q^{17}+\cdots$
2600.2.a.k	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$0$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-3q^{7}+q^{9}+q^{11}+q^{13}+\cdots$
2600.2.a.l	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+3q^{7}+q^{9}+3q^{11}+q^{13}+\cdots$
2600.2.a.m	$2600$	$2$	2600.a	1.a	$1$	$1$	$1$	$20.761$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+2q^{7}+6q^{9}-2q^{11}-q^{13}+\cdots$
2600.2.a.n	$2600$	$2$	2600.a	1.a	$1$	$2$	$2$	$20.761$	$\Q(\sqrt{73}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{9}+(-1+\beta )q^{11}+q^{13}+\cdots$
2600.2.a.o	$2600$	$2$	2600.a	1.a	$1$	$2$	$2$	$20.761$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+(3+2\beta )q^{9}+(3-\beta )q^{11}+\cdots$
2600.2.a.p	$2600$	$2$	2600.a	1.a	$1$	$2$	$2$	$20.761$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+\beta q^{7}+(1+\beta )q^{9}-2\beta q^{11}+\cdots$
2600.2.a.q	$2600$	$2$	2600.a	1.a	$1$	$2$	$2$	$20.761$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-2q^{7}+3q^{9}+(-2-\beta )q^{11}+\cdots$
2600.2.a.r	$2600$	$2$	2600.a	1.a	$1$	$2$	$2$	$20.761$	$\Q(\sqrt{10}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{7}-3q^{9}+(3+\beta )q^{11}+\cdots$
2600.2.a.s	$2600$	$2$	2600.a	1.a	$1$	$2$	$2$	$20.761$	$\Q(\sqrt{10}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{7}-3q^{9}+(3+\beta )q^{11}-q^{13}+\cdots$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.