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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 112 matches)

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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
966.2.a.a	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-4$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}+q^{7}+\cdots$
966.2.a.b	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots$
966.2.a.c	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
966.2.a.d	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots$
966.2.a.e	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
966.2.a.f	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
966.2.a.g	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$
966.2.a.h	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
966.2.a.i	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots$
966.2.a.j	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots$
966.2.a.k	$966$	$2$	966.a	1.a	$1$	$1$	$1$	$7.714$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots$
966.2.a.l	$966$	$2$	966.a	1.a	$1$	$2$	$2$	$7.714$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-2$	$-2$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots$
966.2.a.m	$966$	$2$	966.a	1.a	$1$	$2$	$2$	$7.714$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$-2$	$2$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{7}+\cdots$
966.2.a.n	$966$	$2$	966.a	1.a	$1$	$2$	$2$	$7.714$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$-2$	$2$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+q^{7}+\cdots$
966.2.a.o	$966$	$2$	966.a	1.a	$1$	$2$	$2$	$7.714$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$-2$	$-3$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots$
966.2.a.p	$966$	$2$	966.a	1.a	$1$	$2$	$2$	$7.714$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$2$	$4$	$2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
966.2.f.a	$966$	$2$	966.f	21.c	$2$	$4$	$4$	$7.714$	$\Q(\zeta_{12})$	None		$4$	$0$	$0$	$0$	$0$	$8$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{3}-q^{4}-\zeta_{12}^{3}q^{5}+\cdots$
966.2.f.b	$966$	$2$	966.f	21.c	$2$	$24$	$24$	$7.714$		None		$4$	$0$	$0$	$0$	$0$	$-4$			$\mathrm{SU}(2)[C_{2}]$
966.2.f.c	$966$	$2$	966.f	21.c	$2$	$28$	$28$	$7.714$		None		$4$	$0$	$0$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{2}]$
966.2.g.a	$966$	$2$	966.g	161.c	$2$	$4$	$4$	$7.714$	$\Q(i, \sqrt{14})$	None		$4$	$0$	$-4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{6}+\beta _{1}q^{7}+\cdots$
966.2.g.b	$966$	$2$	966.g	161.c	$2$	$4$	$4$	$7.714$	$\Q(i, \sqrt{14})$	None		$4$	$0$	$-4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+\beta _{2}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots$
966.2.g.c	$966$	$2$	966.g	161.c	$2$	$4$	$4$	$7.714$	$\Q(i, \sqrt{7})$	None		$4$	$0$	$-4$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+\beta _{3}q^{7}+\cdots$
966.2.g.d	$966$	$2$	966.g	161.c	$2$	$4$	$4$	$7.714$	$\Q(i, \sqrt{7})$	None		$4$	$0$	$-4$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots$
966.2.g.e	$966$	$2$	966.g	161.c	$2$	$16$	$16$	$7.714$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		$4$	$0$	$16$	$0$	$0$	$0$		$2^{7}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{8}q^{5}+\beta _{2}q^{6}+\cdots$
966.2.h.a	$966$	$2$	966.h	69.c	$2$	$24$	$24$	$7.714$		None		$2$	$0$	$0$	$4$	$-4$	$0$			$\mathrm{SU}(2)[C_{2}]$
966.2.h.b	$966$	$2$	966.h	69.c	$2$	$24$	$24$	$7.714$		None		$2$	$0$	$0$	$4$	$4$	$0$			$\mathrm{SU}(2)[C_{2}]$
966.2.i.a	$966$	$2$	966.i	7.c	$3$	$2$	$1$	$7.714$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$-1$	$-1$	$-4$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
966.2.i.b	$966$	$2$	966.i	7.c	$3$	$2$	$1$	$7.714$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$-1$	$-1$	$0$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
966.2.i.c	$966$	$2$	966.i	7.c	$3$	$2$	$1$	$7.714$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$1$	$-1$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
966.2.i.d	$966$	$2$	966.i	7.c	$3$	$2$	$1$	$7.714$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$1$	$3$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
966.2.i.e	$966$	$2$	966.i	7.c	$3$	$2$	$1$	$7.714$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$-1$	$-3$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
966.2.i.f	$966$	$2$	966.i	7.c	$3$	$2$	$1$	$7.714$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$-1$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
966.2.i.g	$966$	$2$	966.i	7.c	$3$	$2$	$1$	$7.714$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$1$	$3$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
966.2.i.h	$966$	$2$	966.i	7.c	$3$	$4$	$2$	$7.714$	$\Q(\sqrt{2}, \sqrt{-3})$	None		$2$	$0$	$-2$	$-2$	$2$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{2}q^{2}+(-1-\beta _{2})q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots$
966.2.i.i	$966$	$2$	966.i	7.c	$3$	$4$	$2$	$7.714$	$\Q(\sqrt{-3}, \sqrt{17})$	None		$2$	$0$	$2$	$-2$	$1$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{2}q^{2}+(-1+\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$
966.2.i.j	$966$	$2$	966.i	7.c	$3$	$4$	$2$	$7.714$	$\Q(\sqrt{2}, \sqrt{-3})$	None		$2$	$0$	$2$	$-2$	$2$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1+\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$
966.2.i.k	$966$	$2$	966.i	7.c	$3$	$6$	$3$	$7.714$	6.0.29428272.1	None		$2$	$0$	$3$	$3$	$-3$	$-3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1+\beta _{3})q^{2}-\beta _{3}q^{3}+\beta _{3}q^{4}+(-1+\cdots)q^{5}+\cdots$
966.2.i.l	$966$	$2$	966.i	7.c	$3$	$8$	$4$	$7.714$	8.0.1768034304.4	None		$2$	$0$	$-4$	$-4$	$4$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots$
966.2.i.m	$966$	$2$	966.i	7.c	$3$	$8$	$4$	$7.714$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None		$2$	$0$	$-4$	$4$	$-2$	$6$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\beta _{1})q^{2}-\beta _{1}q^{3}+\beta _{1}q^{4}+(-1+\cdots)q^{5}+\cdots$
966.2.i.n	$966$	$2$	966.i	7.c	$3$	$8$	$4$	$7.714$	8.0.$\cdots$.2	None		$2$	$0$	$4$	$4$	$-2$	$0$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+(1+\beta _{5})q^{2}-\beta _{5}q^{3}+\beta _{5}q^{4}-\beta _{1}q^{5}+\cdots$
966.2.j.a	$966$	$2$	966.j	483.m	$6$	$128$	$64$	$7.714$		None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
966.2.k.a	$966$	$2$	966.k	161.g	$6$	$32$	$16$	$7.714$		None		$4$	$0$	$-16$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
966.2.k.b	$966$	$2$	966.k	161.g	$6$	$32$	$16$	$7.714$		None		$4$	$0$	$16$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
966.2.l.a	$966$	$2$	966.l	21.g	$6$	$4$	$2$	$7.714$	$\Q(\zeta_{12})$	None		$4$	$0$	$0$	$0$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+(\zeta_{12}-\zeta_{12}^{3})q^{2}+(\zeta_{12}-2\zeta_{12}^{3})q^{3}+\cdots$
966.2.l.b	$966$	$2$	966.l	21.g	$6$	$4$	$2$	$7.714$	$\Q(\zeta_{12})$	None		$4$	$0$	$0$	$6$	$0$	$-10$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+(-\zeta_{12}+\zeta_{12}^{3})q^{2}+(1+\zeta_{12}^{2})q^{3}+\cdots$
966.2.l.c	$966$	$2$	966.l	21.g	$6$	$56$	$28$	$7.714$		None		$4$	$0$	$0$	$-6$	$0$	$20$			$\mathrm{SU}(2)[C_{6}]$
966.2.l.d	$966$	$2$	966.l	21.g	$6$	$56$	$28$	$7.714$		None		$4$	$0$	$0$	$0$	$0$	$8$			$\mathrm{SU}(2)[C_{6}]$
966.2.q.a	$966$	$2$	966.q	23.c	$11$	$10$	$1$	$7.714$	$\Q(\zeta_{22})$	None		$2$	$0$	$-1$	$-1$	$-14$	$1$		$1$	$\mathrm{SU}(2)[C_{11}]$	$q+\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots$
966.2.q.b	$966$	$2$	966.q	23.c	$11$	$10$	$1$	$7.714$	$\Q(\zeta_{22})$	None		$2$	$0$	$-1$	$-1$	$2$	$1$		$1$	$\mathrm{SU}(2)[C_{11}]$	$q+\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots$
966.2.q.c	$966$	$2$	966.q	23.c	$11$	$10$	$1$	$7.714$	$\Q(\zeta_{22})$	None		$2$	$0$	$1$	$-1$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{11}]$	$q-\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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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.