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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 (20 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2541.2.a.a	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$1$	$-2$	$-1$	$-3$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}-3q^{5}+2q^{6}+\cdots$
2541.2.a.d	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2541.2.a.e	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-3q^{5}-q^{7}+q^{9}-2q^{12}+\cdots$
2541.2.a.g	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-3$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-3q^{5}-q^{6}+q^{7}+\cdots$
2541.2.a.l	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$1$	$2$	$-1$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}+q^{7}+\cdots$
2541.2.a.o	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$-2$	$-4$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}-q^{3}+(2-2\beta )q^{4}+(-2+\cdots)q^{5}+\cdots$
2541.2.a.p	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$-2$	$-1$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1+\beta )q^{5}+\cdots$
2541.2.a.q	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$-2$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1-2\beta )q^{5}+\cdots$
2541.2.a.r	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$2$	$-4$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-2\beta )q^{5}+\cdots$
2541.2.a.s	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$2$	$-3$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots$
2541.2.a.t	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$2$	$2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots$
2541.2.a.u	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-1$	$2$	$2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+q^{3}+(2+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots$
2541.2.a.x	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$-2$	$-1$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1+\beta )q^{5}+\cdots$
2541.2.a.bb	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$2$	$-3$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots$
2541.2.a.bh	$2541$	$2$	2541.a	1.a	$1$	$3$	$3$	$20.290$	3.3.316.1	None	✓	$1$	$1$	$-1$	$3$	$1$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
2541.2.a.bi	$2541$	$2$	2541.a	1.a	$1$	$3$	$3$	$20.290$	3.3.837.1	None	✓	$1$	$1$	$0$	$-3$	$0$	$3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
2541.2.a.bk	$2541$	$2$	2541.a	1.a	$1$	$4$	$4$	$20.290$	4.4.7488.1	None	✓	$1$	$1$	$-2$	$-4$	$6$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{3}q^{2}-q^{3}+(1-\beta _{2})q^{4}+(1-\beta _{3})q^{5}+\cdots$
2541.2.a.bl	$2541$	$2$	2541.a	1.a	$1$	$4$	$4$	$20.290$	4.4.7488.1	None	✓	$1$	$1$	$-2$	$4$	$-2$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{3}q^{2}+q^{3}+(1-\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots$
2541.2.a.bm	$2541$	$2$	2541.a	1.a	$1$	$4$	$4$	$20.290$	4.4.725.1	None	✓	$1$	$1$	$-1$	$-4$	$-4$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1}+\beta _{2})q^{2}-q^{3}+(\beta _{1}+\beta _{3})q^{4}+\cdots$
2541.2.a.bn	$2541$	$2$	2541.a	1.a	$1$	$4$	$4$	$20.290$	4.4.725.1	None	✓	$1$	$1$	$1$	$-4$	$-4$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1}-\beta _{2})q^{2}-q^{3}+(\beta _{1}+\beta _{3})q^{4}+\cdots$

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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.