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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 (24 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				A-L signs				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	89	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8010.2.a.b	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots$
8010.2.a.c	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots$
8010.2.a.d	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots$
8010.2.a.g	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-3q^{11}+\cdots$
8010.2.a.h	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots$
8010.2.a.i	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
8010.2.a.j	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots$
8010.2.a.k	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots$
8010.2.a.l	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+q^{16}+\cdots$
8010.2.a.m	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots$
8010.2.a.q	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$2$	$-6$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(-3+\beta )q^{7}-q^{8}+\cdots$
8010.2.a.r	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$2$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+\beta q^{7}-q^{8}-q^{10}+\cdots$
8010.2.a.t	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$2$	$0$	$2$	$-4$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots$
8010.2.a.u	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$2$	$0$	$2$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots$
8010.2.a.v	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$2$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+\beta q^{7}+q^{8}+q^{10}+\cdots$
8010.2.a.w	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$2$	$0$	$2$	$3$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots$
8010.2.a.x	$8010$	$2$	8010.a	1.a	$1$	$3$	$3$	$63.960$	3.3.148.1	None	✓	$1$	$1$	$-3$	$0$	$-3$	$-4$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+(-1-\beta _{1}-2\beta _{2})q^{7}+\cdots$
8010.2.a.ba	$8010$	$2$	8010.a	1.a	$1$	$3$	$3$	$63.960$	3.3.148.1	None	✓	$1$	$1$	$3$	$0$	$-3$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(-1-\beta _{1})q^{7}+q^{8}+\cdots$
8010.2.a.bd	$8010$	$2$	8010.a	1.a	$1$	$4$	$4$	$63.960$	4.4.47032.1	None	✓	$1$	$1$	$-4$	$0$	$4$	$3$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots$
8010.2.a.bg	$8010$	$2$	8010.a	1.a	$1$	$5$	$5$	$63.960$	5.5.15020836.1	None	✓	$1$	$1$	$-5$	$0$	$-5$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+\beta _{2}q^{7}-q^{8}+q^{10}+\cdots$
8010.2.a.bj	$8010$	$2$	8010.a	1.a	$1$	$5$	$5$	$63.960$	5.5.2991204.1	None	✓	$1$	$1$	$5$	$0$	$-5$	$1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-\beta _{2}q^{7}+q^{8}-q^{10}+\cdots$
8010.2.a.bk	$8010$	$2$	8010.a	1.a	$1$	$6$	$6$	$63.960$	6.6.63199488.1	None	✓	$1$	$1$	$-6$	$0$	$6$	$1$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-\beta _{1}q^{7}-q^{8}-q^{10}+\cdots$
8010.2.a.bp	$8010$	$2$	8010.a	1.a	$1$	$8$	$8$	$63.960$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$8$	$0$	$-8$	$-5$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(-1-\beta _{5})q^{7}+q^{8}+\cdots$
8010.2.a.bq	$8010$	$2$	8010.a	1.a	$1$	$10$	$10$	$63.960$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$-10$	$0$	$-10$	$3$	$+$	$+$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-\beta _{5}q^{7}-q^{8}+q^{10}+\cdots$

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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.