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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2541.2.a.b	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$0$	$-2$	$-1$	$1$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots$
2541.2.a.c	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$2$	$-1$	$-1$	$-3$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}-q^{7}+\cdots$
2541.2.a.f	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-3q^{5}+q^{7}+q^{9}-2q^{12}+\cdots$
2541.2.a.h	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-2$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
2541.2.a.i	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2541.2.a.j	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$
2541.2.a.k	$2541$	$2$	2541.a	1.a	$1$	$1$	$1$	$20.290$	$\Q$	None	✓	$1$	$0$	$2$	$-1$	$-3$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots$
2541.2.a.m	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-3$	$-2$	$1$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+\beta q^{5}+\cdots$
2541.2.a.n	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-2$	$1$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+(2-3\beta )q^{5}+q^{6}+\cdots$
2541.2.a.v	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-2$	$1$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}-q^{3}+3q^{4}+(1-\beta )q^{5}+\cdots$
2541.2.a.w	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-2$	$1$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}-q^{3}+3q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots$
2541.2.a.y	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$1$	$-2$	$0$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1-2\beta )q^{5}+\cdots$
2541.2.a.z	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{21}) $	None	✓	$1$	$0$	$1$	$-2$	$6$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+(3+\beta )q^{4}+3q^{5}-\beta q^{6}+\cdots$
2541.2.a.ba	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$1$	$2$	$-4$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-2\beta )q^{5}+\cdots$
2541.2.a.bc	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$1$	$2$	$2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+(2+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots$
2541.2.a.bd	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$-2$	$1$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+(2-3\beta )q^{5}-q^{6}+\cdots$
2541.2.a.be	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$-2$	$-4$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}-q^{3}+(2+2\beta )q^{4}+(-2+\cdots)q^{5}+\cdots$
2541.2.a.bf	$2541$	$2$	2541.a	1.a	$1$	$2$	$2$	$20.290$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$-2$	$1$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}-q^{3}+3\beta q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots$
2541.2.a.bg	$2541$	$2$	2541.a	1.a	$1$	$3$	$3$	$20.290$	3.3.229.1	None	✓	$1$	$0$	$-2$	$3$	$4$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{2}+q^{3}+(2+\beta _{1})q^{4}+\cdots$
2541.2.a.bj	$2541$	$2$	2541.a	1.a	$1$	$3$	$3$	$20.290$	3.3.316.1	None	✓	$1$	$0$	$1$	$3$	$1$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
2541.2.a.bo	$2541$	$2$	2541.a	1.a	$1$	$4$	$4$	$20.290$	4.4.7488.1	None	✓	$1$	$0$	$2$	$-4$	$6$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{2}-q^{3}+(1-\beta _{2})q^{4}+(1-\beta _{3})q^{5}+\cdots$
2541.2.a.bp	$2541$	$2$	2541.a	1.a	$1$	$4$	$4$	$20.290$	4.4.7488.1	None	✓	$1$	$0$	$2$	$4$	$-2$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{2}+q^{3}+(1-\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots$
2541.2.a.bq	$2541$	$2$	2541.a	1.a	$1$	$10$	$10$	$20.290$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$0$	$10$	$5$	$-10$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{5}+\cdots$
2541.2.a.br	$2541$	$2$	2541.a	1.a	$1$	$10$	$10$	$20.290$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$0$	$10$	$5$	$10$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{5}+\cdots$

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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.