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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (1-50 of 78 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
994.2.a.a	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	$\Q$	None	✓	✓			994.2.a.a	$1$	$0$	$-1$	$-2$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}+2q^{5}+2q^{6}-q^{7}+\cdots$
994.2.a.b	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	$\Q$	None	✓	✓			994.2.a.b	$1$	$1$	$-1$	$1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
994.2.a.c	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	$\Q$	None	✓	✓			994.2.a.c	$1$	$1$	$-1$	$1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
994.2.a.d	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	$\Q$	None	✓	✓			994.2.a.d	$1$	$0$	$-1$	$2$	$-2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{5}-2q^{6}+q^{7}+\cdots$
994.2.a.e	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	$\Q$	None	✓	✓			994.2.a.e	$1$	$1$	$1$	$-2$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{7}+q^{8}+\cdots$
994.2.a.f	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	$\Q$	None	✓	✓			994.2.a.f	$1$	$0$	$1$	$-2$	$4$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}+4q^{5}-2q^{6}-q^{7}+\cdots$
994.2.a.g	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	$\Q$	None	✓	✓			994.2.a.g	$1$	$1$	$1$	$0$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-3q^{9}+\cdots$
994.2.a.h	$994$	$2$	994.a	1.a	$1$	$2$	$2$	$7.937$	$\Q(\sqrt{3}) $	None	✓	✓	✓		994.2.a.h	$1$	$0$	$-2$	$2$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots$
994.2.a.i	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.564.1	None	✓	✓	✓		994.2.a.i	$1$	$0$	$-3$	$-2$	$4$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$
994.2.a.j	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.316.1	None	✓	✓	✓		994.2.a.j	$1$	$1$	$-3$	$-1$	$-2$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots$
994.2.a.k	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.148.1	None	✓	✓	✓	✓	994.2.a.k	$1$	$1$	$3$	$-2$	$-4$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots$
994.2.a.l	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.1944.1	None	✓	✓			994.2.a.l	$1$	$0$	$3$	$0$	$0$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-q^{7}+\cdots$
994.2.a.m	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.316.1	None	✓	✓			994.2.a.m	$1$	$0$	$3$	$6$	$2$	$-3$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}+(1-\beta _{1})q^{5}+2q^{6}+\cdots$
994.2.a.n	$994$	$2$	994.a	1.a	$1$	$4$	$4$	$7.937$	4.4.23252.1	None	✓	✓	✓		994.2.a.n	$1$	$1$	$-4$	$-1$	$-4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{3}q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots$
994.2.a.o	$994$	$2$	994.a	1.a	$1$	$7$	$7$	$7.937$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	✓	✓	✓	994.2.a.o	$1$	$0$	$7$	$0$	$2$	$7$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots$
994.2.b.a	$994$	$2$	994.b	497.b	$2$	$24$	$24$	$7.937$		None		✓			994.2.b.a	$4$	$0$	$-24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
994.2.b.b	$994$	$2$	994.b	497.b	$2$	$24$	$24$	$7.937$		None		✓			994.2.b.b	$4$	$0$	$24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
994.2.e.a	$994$	$2$	994.e	7.c	$3$	$2$	$1$	$7.937$	$\Q(\sqrt{-3}) $	None		✓			994.2.e.a	$2$	$0$	$-1$	$0$	$3$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+3\zeta_{6}q^{5}+\cdots$
994.2.e.b	$994$	$2$	994.e	7.c	$3$	$2$	$1$	$7.937$	$\Q(\sqrt{-3}) $	None		✓			994.2.e.b	$2$	$0$	$1$	$2$	$1$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
994.2.e.c	$994$	$2$	994.e	7.c	$3$	$4$	$2$	$7.937$	$\Q(\sqrt{-3}, \sqrt{13})$	None		✓			994.2.e.c	$2$	$0$	$-2$	$-1$	$-1$	$8$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{2}q^{2}-\beta _{1}q^{3}+(-1-\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$
994.2.e.d	$994$	$2$	994.e	7.c	$3$	$18$	$9$	$7.937$	$\mathbb{Q}[x]/(x^{18} + \cdots)$	None		✓			994.2.e.d	$2$	$0$	$-9$	$-7$	$-12$	$-4$		$3^{3}$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\beta _{9})q^{2}+(\beta _{3}+\beta _{9})q^{3}+\beta _{9}q^{4}+\cdots$
994.2.e.e	$994$	$2$	994.e	7.c	$3$	$22$	$11$	$7.937$		None		✓			994.2.e.e	$2$	$0$	$11$	$-6$	$-7$	$6$			$\mathrm{SU}(2)[C_{3}]$
994.2.e.f	$994$	$2$	994.e	7.c	$3$	$24$	$12$	$7.937$		None		✓			994.2.e.f	$2$	$0$	$-12$	$8$	$10$	$-1$			$\mathrm{SU}(2)[C_{3}]$
994.2.e.g	$994$	$2$	994.e	7.c	$3$	$24$	$12$	$7.937$		None		✓			994.2.e.g	$2$	$0$	$12$	$4$	$6$	$1$			$\mathrm{SU}(2)[C_{3}]$
994.2.f.a	$994$	$2$	994.f	71.c	$5$	$4$	$1$	$7.937$	$\Q(\zeta_{10})$	None		✓			994.2.f.a	$2$	$0$	$1$	$-1$	$5$	$1$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(1+\cdots)q^{3}+\cdots$
994.2.f.b	$994$	$2$	994.f	71.c	$5$	$8$	$2$	$7.937$	8.0.228765625.1	None		✓			994.2.f.b	$2$	$0$	$2$	$-6$	$0$	$-2$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\beta _{3}q^{2}+(-\beta _{3}-\beta _{4}+\beta _{7})q^{3}+(-1+\cdots)q^{4}+\cdots$
994.2.f.c	$994$	$2$	994.f	71.c	$5$	$16$	$4$	$7.937$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		✓			994.2.f.c	$2$	$0$	$-4$	$12$	$-3$	$4$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\beta _{3}q^{2}+(1-\beta _{8})q^{3}-\beta _{8}q^{4}+\beta _{11}q^{5}+\cdots$
994.2.f.d	$994$	$2$	994.f	71.c	$5$	$24$	$6$	$7.937$		None		✓			994.2.f.d	$2$	$0$	$-6$	$-9$	$1$	$6$			$\mathrm{SU}(2)[C_{5}]$
994.2.f.e	$994$	$2$	994.f	71.c	$5$	$28$	$7$	$7.937$		None		✓			994.2.f.e	$2$	$0$	$7$	$6$	$-1$	$7$			$\mathrm{SU}(2)[C_{5}]$
994.2.f.f	$994$	$2$	994.f	71.c	$5$	$32$	$8$	$7.937$		None		✓			994.2.f.f	$2$	$0$	$-8$	$1$	$6$	$-8$			$\mathrm{SU}(2)[C_{5}]$
994.2.f.g	$994$	$2$	994.f	71.c	$5$	$32$	$8$	$7.937$		None		✓			994.2.f.g	$2$	$0$	$8$	$5$	$0$	$-8$			$\mathrm{SU}(2)[C_{5}]$
994.2.i.a	$994$	$2$	994.i	497.i	$6$	$48$	$24$	$7.937$		None		✓			994.2.i.a	$4$	$0$	$-24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
994.2.i.b	$994$	$2$	994.i	497.i	$6$	$48$	$24$	$7.937$		None		✓			994.2.i.b	$4$	$0$	$24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{6}]$
994.2.j.a	$994$	$2$	994.j	71.d	$7$	$48$	$8$	$7.937$		None		✓			994.2.j.a	$2$	$0$	$-8$	$-1$	$-8$	$-8$			$\mathrm{SU}(2)[C_{7}]$
994.2.j.b	$994$	$2$	994.j	71.d	$7$	$48$	$8$	$7.937$		None		✓			994.2.j.b	$2$	$0$	$8$	$-7$	$4$	$8$			$\mathrm{SU}(2)[C_{7}]$
994.2.j.c	$994$	$2$	994.j	71.d	$7$	$60$	$10$	$7.937$		None		✓			994.2.j.c	$2$	$0$	$-10$	$-9$	$12$	$10$			$\mathrm{SU}(2)[C_{7}]$
994.2.j.d	$994$	$2$	994.j	71.d	$7$	$60$	$10$	$7.937$		None		✓			994.2.j.d	$2$	$0$	$10$	$-3$	$0$	$-10$			$\mathrm{SU}(2)[C_{7}]$
994.2.m.a	$994$	$2$	994.m	497.m	$10$	$16$	$4$	$7.937$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		✓			994.2.m.a	$4$	$0$	$-4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+\beta _{11}q^{2}+(\beta _{4}-\beta _{8}+\beta _{10}+\beta _{14}+\cdots)q^{3}+\cdots$
994.2.m.b	$994$	$2$	994.m	497.m	$10$	$80$	$20$	$7.937$		None		✓			994.2.m.b	$4$	$0$	$-20$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
994.2.m.c	$994$	$2$	994.m	497.m	$10$	$96$	$24$	$7.937$		None		✓	✓		994.2.m.c	$4$	$0$	$24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
994.2.p.a	$994$	$2$	994.p	497.p	$14$	$144$	$24$	$7.937$		None		✓			994.2.p.a	$4$	$0$	$-24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{14}]$
994.2.p.b	$994$	$2$	994.p	497.p	$14$	$144$	$24$	$7.937$		None		✓			994.2.p.b	$4$	$0$	$24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{14}]$
994.2.q.a	$994$	$2$	994.q	497.q	$15$	$192$	$24$	$7.937$		None		✓			994.2.q.a	$4$	$0$	$-24$	$0$	$0$	$-2$			$\mathrm{SU}(2)[C_{15}]$
994.2.q.b	$994$	$2$	994.q	497.q	$15$	$192$	$24$	$7.937$		None		✓			994.2.q.b	$4$	$0$	$24$	$0$	$0$	$2$			$\mathrm{SU}(2)[C_{15}]$
994.2.r.a	$994$	$2$	994.r	497.r	$21$	$288$	$24$	$7.937$		None		✓			994.2.r.a	$4$	$0$	$-24$	$0$	$0$	$-2$			$\mathrm{SU}(2)[C_{21}]$
994.2.r.b	$994$	$2$	994.r	497.r	$21$	$288$	$24$	$7.937$		None		✓			994.2.r.b	$4$	$0$	$24$	$0$	$0$	$2$			$\mathrm{SU}(2)[C_{21}]$
994.2.s.a	$994$	$2$	994.s	497.s	$30$	$192$	$24$	$7.937$		None		✓			994.2.s.a	$4$	$0$	$-24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{30}]$
994.2.s.b	$994$	$2$	994.s	497.s	$30$	$192$	$24$	$7.937$		None		✓			994.2.s.b	$4$	$0$	$24$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{30}]$
994.2.v.a	$994$	$2$	994.v	71.g	$35$	$192$	$8$	$7.937$		None		✓			994.2.v.a	$2$	$0$	$-8$	$2$	$-4$	$-8$			$\mathrm{SU}(2)[C_{35}]$
994.2.v.b	$994$	$2$	994.v	71.g	$35$	$192$	$8$	$7.937$		None		✓			994.2.v.b	$2$	$0$	$8$	$6$	$8$	$8$			$\mathrm{SU}(2)[C_{35}]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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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.