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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 151 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
2592.1.b.a	$2592$	$1$	2592.b	8.d	$2$	$1$	$1$	$1.294$	$\Q$	$D_{3}$	$\Q(\sqrt{-2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$		$1$		$q-q^{11}+q^{17}+q^{19}+q^{25}+q^{41}+\cdots$
2592.1.b.b	$2592$	$1$	2592.b	8.d	$2$	$1$	$1$	$1.294$	$\Q$	$D_{3}$	$\Q(\sqrt{-2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$		$1$		$q+q^{11}-q^{17}+q^{19}+q^{25}-q^{41}+\cdots$
2592.1.e.a	$2592$	$1$	2592.e	3.b	$2$	$4$	$4$	$1.294$	$\Q(\sqrt{-2}, \sqrt{3})$	$D_{12}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\beta _{1}q^{5}-\beta _{2}q^{13}-\beta _{3}q^{17}+(-1+\cdots)q^{25}+\cdots$
2592.1.g.a	$2592$	$1$	2592.g	4.b	$2$	$2$	$2$	$1.294$	$\Q(\sqrt{-1}) $	$A_{4}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$		$q-q^{5}-iq^{7}+iq^{11}+q^{13}-iq^{23}+\cdots$
2592.1.g.b	$2592$	$1$	2592.g	4.b	$2$	$2$	$2$	$1.294$	$\Q(\sqrt{-1}) $	$A_{4}$	None	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$		$q+q^{5}-iq^{7}-iq^{11}+q^{13}+iq^{23}+\cdots$
2592.1.n.a	$2592$	$1$	2592.n	72.j	$6$	$2$	$1$	$1.294$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$0$	$-1$	$-1$		$1$		$q+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\zeta_{6}q^{11}+\zeta_{6}q^{29}+\cdots$
2592.1.n.b	$2592$	$1$	2592.n	72.j	$6$	$2$	$1$	$1.294$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$0$	$0$	$1$	$-1$		$1$		$q-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}-\zeta_{6}q^{11}-\zeta_{6}q^{29}+\cdots$
2592.1.q.a	$2592$	$1$	2592.q	9.d	$6$	$4$	$2$	$1.294$	$\Q(\sqrt{-2}, \sqrt{-3})$	$D_{4}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\beta _{1}-\beta _{3})q^{5}-\beta _{3}q^{17}+(1-\beta _{2})q^{25}+\cdots$
2592.1.q.b	$2592$	$1$	2592.q	9.d	$6$	$8$	$4$	$1.294$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$3^{2}$		$q+(\zeta_{24}^{7}-\zeta_{24}^{9})q^{5}+(-\zeta_{24}^{6}-\zeta_{24}^{10}+\cdots)q^{13}+\cdots$
2592.1.bd.a	$2592$	$1$	2592.bd	216.r	$18$	$6$	$1$	$1.294$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{18}^{6}+\zeta_{18}^{8})q^{11}+(\zeta_{18}-\zeta_{18}^{2}+\cdots)q^{17}+\cdots$
2592.1.bz.a	$2592$	$1$	2592.bz	648.af	$54$	$18$	$1$	$1.294$	$\Q(\zeta_{54})$	$D_{27}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{54}^{26}q^{3}-\zeta_{54}^{25}q^{9}+(\zeta_{54}^{3}+\zeta_{54}^{13}+\cdots)q^{11}+\cdots$
2592.2.a.a	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-4$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-2q^{7}+5q^{11}-2q^{13}+3q^{17}+\cdots$
2592.2.a.b	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-4$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+2q^{7}-5q^{11}-2q^{13}+3q^{17}+\cdots$
2592.2.a.c	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+2q^{11}+q^{13}-3q^{17}+\cdots$
2592.2.a.d	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-2q^{11}+q^{13}-3q^{17}+\cdots$
2592.2.a.e	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-2q^{11}+q^{13}+3q^{17}+\cdots$
2592.2.a.f	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+2q^{11}+q^{13}+3q^{17}+\cdots$
2592.2.a.g	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$4$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-2q^{7}-5q^{11}-2q^{13}-3q^{17}+\cdots$
2592.2.a.h	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$4$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+2q^{7}+5q^{11}-2q^{13}-3q^{17}+\cdots$
2592.2.a.i	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{3}) $	$_{}$	$\Q(\sqrt{-1}) $	None	✓	$2$	$1$	$0$	$0$	$-4$	$0$	$+$	$1$	$N(\mathrm{U}(1))$	$q+(-2+\beta )q^{5}+(3-2\beta )q^{13}+(-4+\cdots)q^{17}+\cdots$
2592.2.a.j	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{11}+(1+\cdots)q^{13}+\cdots$
2592.2.a.k	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{3}) $	$_{}$	$\Q(\sqrt{-1}) $	None	✓	$2$	$1$	$0$	$0$	$-2$	$0$	$+$	$2$	$N(\mathrm{U}(1))$	$q+(-1+\beta )q^{5}+(-3-\beta )q^{13}+(1-2\beta )q^{17}+\cdots$
2592.2.a.l	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+\beta q^{7}-\beta q^{11}-3q^{13}+4q^{17}+\cdots$
2592.2.a.m	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$-2$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+\beta q^{7}-\beta q^{11}+3q^{13}-5q^{17}+\cdots$
2592.2.a.n	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(1+\beta )q^{7}+(-1+\beta )q^{11}+(1+\cdots)q^{13}+\cdots$
2592.2.a.o	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+(-1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots$
2592.2.a.p	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+\beta q^{7}+\beta q^{11}-3q^{13}-4q^{17}+\cdots$
2592.2.a.q	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{3}) $	$_{}$	$\Q(\sqrt{-1}) $	None	✓	$2$	$0$	$0$	$0$	$2$	$0$	$-$	$2$	$N(\mathrm{U}(1))$	$q+(1+\beta )q^{5}+(-3+\beta )q^{13}+(-1-2\beta )q^{17}+\cdots$
2592.2.a.r	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$2$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{5}+\beta q^{7}+\beta q^{11}+3q^{13}+5q^{17}+\cdots$
2592.2.a.s	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{6}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+(1+\beta )q^{7}+(1-\beta )q^{11}+(1+2\beta )q^{13}+\cdots$
2592.2.a.t	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	$\Q(\sqrt{3}) $	$_{}$	$\Q(\sqrt{-1}) $	None	✓	$2$	$0$	$0$	$0$	$4$	$0$	$-$	$1$	$N(\mathrm{U}(1))$	$q+(2+\beta )q^{5}+(3+2\beta )q^{13}+(4+\beta )q^{17}+\cdots$
2592.2.a.u	$2592$	$2$	2592.a	1.a	$1$	$4$	$4$	$20.697$	4.4.13068.1	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$-2$	$0$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{5}+\beta _{3}q^{7}-\beta _{2}q^{11}+\cdots$
2592.2.a.v	$2592$	$2$	2592.a	1.a	$1$	$4$	$4$	$20.697$	$\Q(\sqrt{3}, \sqrt{7})$	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(-1-\beta _{3})q^{11}+\cdots$
2592.2.a.w	$2592$	$2$	2592.a	1.a	$1$	$4$	$4$	$20.697$	$\Q(\sqrt{3}, \sqrt{7})$	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(1+\beta _{3})q^{11}+\cdots$
2592.2.a.x	$2592$	$2$	2592.a	1.a	$1$	$4$	$4$	$20.697$	4.4.13068.1	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$2$	$0$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	$q+(1+\beta _{1})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{11}+(1+\cdots)q^{13}+\cdots$
2592.2.c.a	$2592$	$2$	2592.c	12.b	$2$	$8$	$8$	$20.697$	$\Q(\zeta_{24})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-\zeta_{24}-\zeta_{24}^{3})q^{5}-\zeta_{24}^{5}q^{7}+(-2\zeta_{24}^{6}+\cdots)q^{11}+\cdots$
2592.2.c.b	$2592$	$2$	2592.c	12.b	$2$	$16$	$16$	$20.697$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{20}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{3}q^{5}+\beta _{8}q^{7}+\beta _{11}q^{11}+(-1+\cdots)q^{13}+\cdots$
2592.2.c.c	$2592$	$2$	2592.c	12.b	$2$	$24$	$24$	$20.697$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
2592.2.d.a	$2592$	$2$	2592.d	8.b	$2$	$2$	$2$	$20.697$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{5}-4q^{7}-3iq^{11}+2iq^{13}+\cdots$
2592.2.d.b	$2592$	$2$	2592.d	8.b	$2$	$2$	$2$	$20.697$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{5}-4q^{7}-3iq^{11}-2iq^{13}+\cdots$
2592.2.d.c	$2592$	$2$	2592.d	8.b	$2$	$2$	$2$	$20.697$	$\Q(\sqrt{-7}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$4$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta q^{5}+2q^{7}+\beta q^{13}-7q^{17}-2\beta q^{19}+\cdots$
2592.2.d.d	$2592$	$2$	2592.d	8.b	$2$	$2$	$2$	$20.697$	$\Q(\sqrt{-7}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$4$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta q^{5}+2q^{7}-\beta q^{13}+7q^{17}+2\beta q^{19}+\cdots$
2592.2.d.e	$2592$	$2$	2592.d	8.b	$2$	$4$	$4$	$20.697$	$\Q(\sqrt{-2}, \sqrt{-3})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-8$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-\beta _{1}+\beta _{2})q^{5}+(-2+\beta _{3})q^{7}+(\beta _{1}+\cdots)q^{11}+\cdots$
2592.2.d.f	$2592$	$2$	2592.d	8.b	$2$	$4$	$4$	$20.697$	$\Q(\sqrt{-2}, \sqrt{-3})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-8$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-\beta _{1}+\beta _{2})q^{5}+(-2+\beta _{3})q^{7}+(\beta _{1}+\cdots)q^{11}+\cdots$
2592.2.d.g	$2592$	$2$	2592.d	8.b	$2$	$4$	$4$	$20.697$	$\Q(\zeta_{12})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-4$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(2\zeta_{12}+\zeta_{12}^{2})q^{5}+(-1+\zeta_{12}^{3})q^{7}+\cdots$
2592.2.d.h	$2592$	$2$	2592.d	8.b	$2$	$4$	$4$	$20.697$	$\Q(\zeta_{12})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-4$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(2\zeta_{12}+\zeta_{12}^{2})q^{5}+(-1+\zeta_{12}^{3})q^{7}+\cdots$
2592.2.d.i	$2592$	$2$	2592.d	8.b	$2$	$4$	$4$	$20.697$	$\Q(\sqrt{3}, \sqrt{-5})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$16$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{5}+4q^{7}+2\beta _{1}q^{11}-\beta _{2}q^{13}+\cdots$
2592.2.d.j	$2592$	$2$	2592.d	8.b	$2$	$8$	$8$	$20.697$	8.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$6$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{3}-\beta _{6})q^{5}+(1-\beta _{5})q^{7}-\beta _{7}q^{11}+\cdots$
2592.2.d.k	$2592$	$2$	2592.d	8.b	$2$	$8$	$8$	$20.697$	8.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$6$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{3}-\beta _{6})q^{5}+(1-\beta _{5})q^{7}-\beta _{7}q^{11}+\cdots$
2592.2.f.a	$2592$	$2$	2592.f	24.f	$2$	$4$	$4$	$20.697$	$\Q(\sqrt{-2}, \sqrt{-3})$	$_{}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{2}\cdot 3^{2}$	$\mathrm{U}(1)[D_{2}]$	$q+(-\beta _{1}+\beta _{2})q^{11}+(-2\beta _{1}-\beta _{2})q^{17}+\cdots$

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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.