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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 209 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
2400.1.l.a	$2400$	$1$	2400.l	3.b	$2$	$4$	$4$	$1.198$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}q^{3}+(-\zeta_{8}+\zeta_{8}^{3})q^{7}+\zeta_{8}^{2}q^{9}+\cdots$
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}) $	✓	$4$	$0$	$0$	$1$	$0$	$0$		$1$		$q+q^{3}+q^{9}+q^{27}+2q^{31}-q^{49}+\cdots$
2400.1.u.a	$2400$	$1$	2400.u	120.q	$4$	$4$	$2$	$1.198$	$\Q(\zeta_{8})$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-15}) $	$\Q(\sqrt{30}) $		$16$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}+\zeta_{8}^{3}q^{17}+\zeta_{8}^{2}q^{19}+\cdots$
2400.1.u.b	$2400$	$1$	2400.u	120.q	$4$	$8$	$4$	$1.198$	$\Q(\zeta_{24})$	$D_{6}$	$\Q(\sqrt{-2}) $	None		$16$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{24}^{11}q^{3}-\zeta_{24}^{10}q^{9}+(\zeta_{24}^{4}+\zeta_{24}^{8}+\cdots)q^{11}+\cdots$
2400.1.br.a	$2400$	$1$	2400.br	480.aq	$8$	$8$	$2$	$1.198$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{16}^{3}q^{2}-\zeta_{16}^{3}q^{3}+\zeta_{16}^{6}q^{4}+\cdots$
2400.1.ca.a	$2400$	$1$	2400.ca	96.p	$8$	$8$	$2$	$1.198$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{16}^{5}q^{2}+\zeta_{16}q^{3}-\zeta_{16}^{2}q^{4}+\zeta_{16}^{6}q^{6}+\cdots$
2400.1.cb.a	$2400$	$1$	2400.cb	480.ba	$8$	$8$	$2$	$1.198$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{16}^{7}q^{2}-\zeta_{16}^{7}q^{3}-\zeta_{16}^{6}q^{4}+\cdots$
2400.1.cf.a	$2400$	$1$	2400.cf	600.z	$10$	$8$	$2$	$1.198$	$\Q(\zeta_{20})$	$D_{10}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{20}^{9}q^{3}+\zeta_{20}^{7}q^{5}+(-\zeta_{20}^{4}-\zeta_{20}^{6}+\cdots)q^{7}+\cdots$
2400.1.cp.a	$2400$	$1$	2400.cp	600.aj	$10$	$4$	$1$	$1.198$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$-1$	$1$	$2$		$1$		$q+\zeta_{10}^{2}q^{3}+\zeta_{10}q^{5}+(-\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{7}+\cdots$
2400.1.cp.b	$2400$	$1$	2400.cp	600.aj	$10$	$4$	$1$	$1.198$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$1$	$-1$	$2$		$1$		$q-\zeta_{10}^{2}q^{3}-\zeta_{10}q^{5}+(-\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{7}+\cdots$
2400.2.a.a	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$
2400.2.a.b	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots$
2400.2.a.c	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots$
2400.2.a.d	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$
2400.2.a.e	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots$
2400.2.a.f	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-q^{13}+3q^{19}+q^{21}+\cdots$
2400.2.a.g	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}+q^{13}-3q^{19}+q^{21}+\cdots$
2400.2.a.h	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}+4q^{11}-3q^{13}+\cdots$
2400.2.a.i	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-2q^{13}-6q^{17}+4q^{19}+\cdots$
2400.2.a.j	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+4q^{11}-2q^{13}+2q^{17}+\cdots$
2400.2.a.k	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}-4q^{11}-7q^{13}+\cdots$
2400.2.a.l	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}-5q^{13}-5q^{19}+\cdots$
2400.2.a.m	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}+5q^{13}+5q^{19}+\cdots$
2400.2.a.n	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}+4q^{11}+7q^{13}+\cdots$
2400.2.a.o	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}-4q^{13}-8q^{19}+\cdots$
2400.2.a.p	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}+4q^{13}+8q^{19}+\cdots$
2400.2.a.q	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
2400.2.a.r	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
2400.2.a.s	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots$
2400.2.a.t	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}+4q^{13}-8q^{19}+\cdots$
2400.2.a.u	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}+q^{9}-4q^{11}+7q^{13}+\cdots$
2400.2.a.v	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots$
2400.2.a.w	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots$
2400.2.a.x	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}+q^{9}+4q^{11}-7q^{13}+\cdots$
2400.2.a.y	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-4q^{11}-2q^{13}+2q^{17}+\cdots$
2400.2.a.z	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-2q^{13}-6q^{17}-4q^{19}+\cdots$
2400.2.a.ba	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots$
2400.2.a.bb	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}+q^{21}+\cdots$
2400.2.a.bc	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}+q^{21}+\cdots$
2400.2.a.bd	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots$
2400.2.a.be	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots$
2400.2.a.bf	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots$
2400.2.a.bg	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots$
2400.2.a.bh	$2400$	$2$	2400.a	1.a	$1$	$1$	$1$	$19.164$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$
2400.2.a.bi	$2400$	$2$	2400.a	1.a	$1$	$2$	$2$	$19.164$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$2$	$0$	$0$	$-2$	$0$	$-4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}-\beta q^{11}+\beta q^{13}+\cdots$
2400.2.a.bj	$2400$	$2$	2400.a	1.a	$1$	$2$	$2$	$19.164$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$2$	$0$	$0$	$2$	$0$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}-\beta q^{11}-\beta q^{13}+\cdots$
2400.2.b.a	$2400$	$2$	2400.b	24.f	$2$	$2$	$2$	$19.164$	$\Q(\sqrt{-2}) $	$_{}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{2}]$	$q+(-1+\beta )q^{3}+(-1-2\beta )q^{9}+2\beta q^{11}+\cdots$
2400.2.b.b	$2400$	$2$	2400.b	24.f	$2$	$4$	$4$	$19.164$	$\Q(\sqrt{-2}, \sqrt{-3})$	$_{}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$		$3$	$\mathrm{U}(1)[D_{2}]$	$q+(-\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots$
2400.2.b.c	$2400$	$2$	2400.b	24.f	$2$	$4$	$4$	$19.164$	$\Q(\sqrt{-3}, \sqrt{5})$	$_{}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2^{6}$	$\mathrm{U}(1)[D_{2}]$	$q-\beta _{1}q^{3}-3q^{9}+4\beta _{1}q^{17}+4q^{19}+\cdots$

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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.