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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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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
266.2.a.a	$266$	$2$	266.a	1.a	$1$	$2$	$2$	$2.124$	$\Q(\sqrt{29}) $	None	✓	$1$	$0$	$-2$	$1$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots$
266.2.a.b	$266$	$2$	266.a	1.a	$1$	$2$	$2$	$2.124$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$3$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}+(2-3\beta )q^{5}+\cdots$
266.2.a.c	$266$	$2$	266.a	1.a	$1$	$2$	$2$	$2.124$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$2$	$1$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots$
266.2.a.d	$266$	$2$	266.a	1.a	$1$	$3$	$3$	$2.124$	3.3.469.1	None	✓	$1$	$0$	$3$	$-1$	$5$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{2}q^{3}+q^{4}+(2-\beta _{1})q^{5}+\beta _{2}q^{6}+\cdots$
266.2.d.a	$266$	$2$	266.d	133.c	$2$	$16$	$16$	$2.124$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		$4$	$0$	$0$	$0$	$0$	$6$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{11}q^{2}+\beta _{4}q^{3}-q^{4}+\beta _{7}q^{5}-\beta _{10}q^{6}+\cdots$
266.2.e.a	$266$	$2$	266.e	7.c	$3$	$2$	$1$	$2.124$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$-1$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(2+\cdots)q^{7}+\cdots$
266.2.e.b	$266$	$2$	266.e	7.c	$3$	$2$	$1$	$2.124$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$2$	$3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
266.2.e.c	$266$	$2$	266.e	7.c	$3$	$4$	$2$	$2.124$	$\Q(\sqrt{2}, \sqrt{-3})$	None		$2$	$0$	$2$	$0$	$2$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{2}q^{2}-\beta _{1}q^{3}+(-1-\beta _{2})q^{4}-\beta _{2}q^{5}+\cdots$
266.2.e.d	$266$	$2$	266.e	7.c	$3$	$6$	$3$	$2.124$	6.0.1783323.2	None		$2$	$0$	$3$	$-2$	$-2$	$4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\beta _{4})q^{2}+(-\beta _{1}-\beta _{2}-\beta _{4})q^{3}+\cdots$
266.2.e.e	$266$	$2$	266.e	7.c	$3$	$10$	$5$	$2.124$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	None		$2$	$0$	$-5$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\beta _{5})q^{2}-\beta _{2}q^{3}+\beta _{5}q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots$
266.2.f.a	$266$	$2$	266.f	19.c	$3$	$2$	$1$	$2.124$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$-1$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$
266.2.f.b	$266$	$2$	266.f	19.c	$3$	$4$	$2$	$2.124$	$\Q(\sqrt{-3}, \sqrt{17})$	None		$2$	$0$	$2$	$-1$	$1$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{2}q^{2}-\beta _{1}q^{3}+(-1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
266.2.f.c	$266$	$2$	266.f	19.c	$3$	$6$	$3$	$2.124$	6.0.591408.1	None		$2$	$0$	$-3$	$-2$	$1$	$-6$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{4}q^{2}+(\beta _{1}-\beta _{3}-\beta _{4}+\beta _{5})q^{3}+\cdots$
266.2.f.d	$266$	$2$	266.f	19.c	$3$	$8$	$4$	$2.124$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None		$2$	$0$	$4$	$1$	$-1$	$8$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\beta _{4})q^{2}+(-\beta _{1}-\beta _{3})q^{3}-\beta _{4}q^{4}+\cdots$
266.2.g.a	$266$	$2$	266.g	133.h	$3$	$2$	$1$	$2.124$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$-3$	$-4$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}-3\zeta_{6}q^{3}+q^{4}-2q^{5}-3\zeta_{6}q^{6}+\cdots$
266.2.g.b	$266$	$2$	266.g	133.h	$3$	$10$	$5$	$2.124$	10.0.$\cdots$.1	None		$2$	$0$	$10$	$3$	$6$	$-3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(\beta _{3}-\beta _{6}+\beta _{8})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots$
266.2.g.c	$266$	$2$	266.g	133.h	$3$	$12$	$6$	$2.124$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$-12$	$0$	$-6$	$1$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{8}q^{5}+\beta _{1}q^{6}+\cdots$
266.2.h.a	$266$	$2$	266.h	133.g	$3$	$2$	$1$	$2.124$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$6$	$2$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+3q^{3}+(-1+\zeta_{6})q^{4}+2\zeta_{6}q^{5}+\cdots$
266.2.h.b	$266$	$2$	266.h	133.g	$3$	$10$	$5$	$2.124$	10.0.$\cdots$.1	None		$2$	$0$	$-5$	$-6$	$-3$	$-3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\beta _{6})q^{2}+(-\beta _{3}+\beta _{6}-\beta _{7}+\cdots)q^{3}+\cdots$
266.2.h.c	$266$	$2$	266.h	133.g	$3$	$12$	$6$	$2.124$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$6$	$0$	$3$	$1$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{5}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(-1+\beta _{5}+\cdots)q^{4}+\cdots$
266.2.k.a	$266$	$2$	266.k	133.i	$6$	$4$	$2$	$2.124$	$\Q(\zeta_{12})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+\zeta_{12}^{3}q^{2}+(\zeta_{12}-2\zeta_{12}^{3})q^{3}-q^{4}+\cdots$
266.2.k.b	$266$	$2$	266.k	133.i	$6$	$20$	$10$	$2.124$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None		$2$	$0$	$0$	$0$	$0$	$-2$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+\beta _{3}q^{2}+\beta _{9}q^{3}-q^{4}+(-\beta _{2}+\beta _{8}+\cdots)q^{5}+\cdots$
266.2.l.a	$266$	$2$	266.l	133.o	$6$	$24$	$12$	$2.124$		None		$4$	$0$	$0$	$0$	$6$	$10$			$\mathrm{SU}(2)[C_{6}]$
266.2.m.a	$266$	$2$	266.m	133.p	$6$	$32$	$16$	$2.124$		None		$4$	$0$	$0$	$0$	$0$	$-12$			$\mathrm{SU}(2)[C_{6}]$
266.2.t.a	$266$	$2$	266.t	133.s	$6$	$4$	$2$	$2.124$	$\Q(\zeta_{12})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+\zeta_{12}q^{2}+(-2\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$
266.2.t.b	$266$	$2$	266.t	133.s	$6$	$20$	$10$	$2.124$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None		$2$	$0$	$0$	$0$	$-6$	$-2$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+(-\beta _{3}-\beta _{11})q^{2}+(\beta _{9}-\beta _{12})q^{3}+\cdots$
266.2.u.a	$266$	$2$	266.u	19.e	$9$	$6$	$1$	$2.124$	$\Q(\zeta_{18})$	None		$2$	$0$	$0$	$3$	$6$	$-3$		$1$	$\mathrm{SU}(2)[C_{9}]$	$q-\zeta_{18}q^{2}+(\zeta_{18}^{3}-\zeta_{18}^{4}+\zeta_{18}^{5})q^{3}+\cdots$
266.2.u.b	$266$	$2$	266.u	19.e	$9$	$12$	$2$	$2.124$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$0$	$0$	$0$	$6$		$1$	$\mathrm{SU}(2)[C_{9}]$	$q+(\beta _{8}+\beta _{9})q^{2}+(-\beta _{1}+\beta _{6}+\beta _{8})q^{3}+\cdots$
266.2.u.c	$266$	$2$	266.u	19.e	$9$	$18$	$3$	$2.124$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None		$2$	$0$	$0$	$3$	$-6$	$9$		$1$	$\mathrm{SU}(2)[C_{9}]$	$q+(-\beta _{9}+\beta _{12})q^{2}+(\beta _{5}+\beta _{7})q^{3}-\beta _{8}q^{4}+\cdots$
266.2.u.d	$266$	$2$	266.u	19.e	$9$	$24$	$4$	$2.124$		None		$2$	$0$	$0$	$0$	$0$	$-12$			$\mathrm{SU}(2)[C_{9}]$
266.2.v.a	$266$	$2$	266.v	133.u	$9$	$42$	$7$	$2.124$		None		$2$	$0$	$0$	$0$	$0$	$-6$			$\mathrm{SU}(2)[C_{9}]$
266.2.v.b	$266$	$2$	266.v	133.u	$9$	$42$	$7$	$2.124$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{9}]$
266.2.w.a	$266$	$2$	266.w	133.w	$9$	$42$	$7$	$2.124$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{9}]$
266.2.w.b	$266$	$2$	266.w	133.w	$9$	$42$	$7$	$2.124$		None		$2$	$0$	$0$	$0$	$0$	$12$			$\mathrm{SU}(2)[C_{9}]$
266.2.x.a	$266$	$2$	266.x	133.aa	$18$	$72$	$12$	$2.124$		None		$4$	$0$	$0$	$0$	$0$	$6$			$\mathrm{SU}(2)[C_{18}]$
266.2.y.a	$266$	$2$	266.y	133.ab	$18$	$84$	$14$	$2.124$		None		$2$	$0$	$0$	$0$	$0$	$6$			$\mathrm{SU}(2)[C_{18}]$
266.2.bd.a	$266$	$2$	266.bd	133.af	$18$	$84$	$14$	$2.124$		None		$2$	$0$	$0$	$0$	$0$	$-12$			$\mathrm{SU}(2)[C_{18}]$
266.3.b.a	$266$	$3$	266.b	7.b	$2$	$24$	$24$	$7.248$		None		$2$	$0$	$0$	$0$	$0$	$-2$			$\mathrm{SU}(2)[C_{2}]$
266.3.c.a	$266$	$3$	266.c	19.b	$2$	$20$	$20$	$7.248$	$\mathbb{Q}[x]/(x^{20} + \cdots)$	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{11}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{3}q^{2}+\beta _{1}q^{3}-2q^{4}+\beta _{5}q^{5}+(1+\cdots)q^{6}+\cdots$
266.3.i.a	$266$	$3$	266.i	133.n	$6$	$56$	$28$	$7.248$		None		$2$	$0$	$0$	$0$	$-2$	$-12$			$\mathrm{SU}(2)[C_{6}]$
266.3.j.a	$266$	$3$	266.j	133.k	$6$	$56$	$28$	$7.248$		None		$2$	$0$	$0$	$0$	$6$	$0$			$\mathrm{SU}(2)[C_{6}]$
266.3.n.a	$266$	$3$	266.n	133.t	$6$	$56$	$28$	$7.248$		None		$2$	$0$	$0$	$12$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
266.3.o.a	$266$	$3$	266.o	133.r	$6$	$56$	$28$	$7.248$		None		$4$	$0$	$0$	$0$	$-2$	$6$			$\mathrm{SU}(2)[C_{6}]$
266.3.p.a	$266$	$3$	266.p	19.d	$6$	$40$	$20$	$7.248$		None		$2$	$0$	$0$	$-12$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
266.3.q.a	$266$	$3$	266.q	7.d	$6$	$48$	$24$	$7.248$		None		$2$	$0$	$0$	$0$	$6$	$2$			$\mathrm{SU}(2)[C_{6}]$
266.3.r.a	$266$	$3$	266.r	133.m	$6$	$48$	$24$	$7.248$		None		$4$	$0$	$0$	$0$	$0$	$-16$			$\mathrm{SU}(2)[C_{6}]$
266.3.s.a	$266$	$3$	266.s	133.j	$6$	$56$	$28$	$7.248$		None		$2$	$0$	$0$	$0$	$4$	$-12$			$\mathrm{SU}(2)[C_{6}]$
266.3.z.a	$266$	$3$	266.z	133.x	$18$	$156$	$26$	$7.248$		None		$2$	$0$	$0$	$0$	$0$	$18$			$\mathrm{SU}(2)[C_{18}]$
266.3.ba.a	$266$	$3$	266.ba	133.ad	$18$	$156$	$26$	$7.248$		None		$2$	$0$	$0$	$0$	$0$	$-18$			$\mathrm{SU}(2)[C_{18}]$
266.3.bb.a	$266$	$3$	266.bb	19.f	$18$	$120$	$20$	$7.248$		None		$2$	$0$	$0$	$12$	$0$	$0$			$\mathrm{SU}(2)[C_{18}]$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.