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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 (38 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	5	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5290.2.a.a	$5290$	$2$	5290.a	1.a	$1$	$1$	$1$	$42.241$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$
5290.2.a.b	$5290$	$2$	5290.a	1.a	$1$	$1$	$1$	$42.241$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots$
5290.2.a.c	$5290$	$2$	5290.a	1.a	$1$	$1$	$1$	$42.241$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$-4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots$
5290.2.a.d	$5290$	$2$	5290.a	1.a	$1$	$1$	$1$	$42.241$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\cdots$
5290.2.a.e	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$-2$	$-1$	$2$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(-1+\cdots)q^{7}+\cdots$
5290.2.a.f	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots$
5290.2.a.g	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$2$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(1+\cdots)q^{7}+\cdots$
5290.2.a.h	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$-2$	$1$	$-2$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots$
5290.2.a.i	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$1$	$2$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(1+\cdots)q^{7}+\cdots$
5290.2.a.j	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$-2$	$3$	$-2$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$
5290.2.a.k	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$
5290.2.a.l	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$-2$	$2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
5290.2.a.m	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-1+\cdots)q^{7}+\cdots$
5290.2.a.n	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(1+\cdots)q^{7}+\cdots$
5290.2.a.o	$5290$	$2$	5290.a	1.a	$1$	$2$	$2$	$42.241$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$1$	$-2$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-1+\cdots)q^{7}+\cdots$
5290.2.a.p	$5290$	$2$	5290.a	1.a	$1$	$3$	$3$	$42.241$	3.3.1509.1	None	✓	$1$	$1$	$3$	$-1$	$-3$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
5290.2.a.q	$5290$	$2$	5290.a	1.a	$1$	$3$	$3$	$42.241$	3.3.1509.1	None	✓	$1$	$0$	$3$	$-1$	$3$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
5290.2.a.r	$5290$	$2$	5290.a	1.a	$1$	$3$	$3$	$42.241$	3.3.1101.1	None	✓	$1$	$0$	$3$	$1$	$3$	$-3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
5290.2.a.s	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	$\Q(\zeta_{24})^+$	None	✓	$1$	$1$	$-4$	$-4$	$-4$	$-8$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}-q^{5}+\cdots$
5290.2.a.t	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	$\Q(\zeta_{24})^+$	None	✓	$1$	$0$	$-4$	$-4$	$4$	$8$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+q^{5}+\cdots$
5290.2.a.u	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	$\Q(\zeta_{24})^+$	None	✓	$1$	$1$	$-4$	$4$	$-4$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{1}+\beta _{3})q^{3}+q^{4}-q^{5}+\cdots$
5290.2.a.v	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	$\Q(\zeta_{24})^+$	None	✓	$1$	$0$	$-4$	$4$	$4$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{1}+\beta _{3})q^{3}+q^{4}+q^{5}+\cdots$
5290.2.a.w	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	4.4.13888.1	None	✓	$1$	$0$	$4$	$-2$	$-4$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}-q^{5}+\cdots$
5290.2.a.x	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	4.4.13888.1	None	✓	$1$	$1$	$4$	$-2$	$4$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+q^{5}+\cdots$
5290.2.a.y	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	$\Q(\zeta_{24})^+$	None	✓	$1$	$0$	$4$	$0$	$-4$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
5290.2.a.z	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	$\Q(\zeta_{24})^+$	None	✓	$1$	$1$	$4$	$0$	$4$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
5290.2.a.ba	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	4.4.4752.1	None	✓	$1$	$1$	$4$	$2$	$-4$	$-6$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta _{2})q^{3}+q^{4}-q^{5}+(1+\beta _{2}+\cdots)q^{6}+\cdots$
5290.2.a.bb	$5290$	$2$	5290.a	1.a	$1$	$4$	$4$	$42.241$	4.4.4752.1	None	✓	$1$	$0$	$4$	$2$	$4$	$6$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+q^{5}+(1+\beta _{2}+\cdots)q^{6}+\cdots$
5290.2.a.bc	$5290$	$2$	5290.a	1.a	$1$	$5$	$5$	$42.241$	$\Q(\zeta_{22})^+$	None	✓	$1$	$1$	$5$	$-4$	$-5$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$
5290.2.a.bd	$5290$	$2$	5290.a	1.a	$1$	$5$	$5$	$42.241$	$\Q(\zeta_{22})^+$	None	✓	$1$	$1$	$5$	$-4$	$5$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
5290.2.a.be	$5290$	$2$	5290.a	1.a	$1$	$6$	$6$	$42.241$	6.6.252973568.1	None	✓	$1$	$1$	$-6$	$-2$	$-6$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
5290.2.a.bf	$5290$	$2$	5290.a	1.a	$1$	$6$	$6$	$42.241$	6.6.252973568.1	None	✓	$1$	$0$	$-6$	$-2$	$6$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
5290.2.a.bg	$5290$	$2$	5290.a	1.a	$1$	$10$	$10$	$42.241$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$-10$	$-5$	$-10$	$5$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{7})q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
5290.2.a.bh	$5290$	$2$	5290.a	1.a	$1$	$10$	$10$	$42.241$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$-10$	$-5$	$10$	$-5$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{7})q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots$
5290.2.a.bi	$5290$	$2$	5290.a	1.a	$1$	$10$	$10$	$42.241$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-10$	$4$	$-10$	$7$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{7}+\beta _{9})q^{3}+q^{4}-q^{5}+\cdots$
5290.2.a.bj	$5290$	$2$	5290.a	1.a	$1$	$10$	$10$	$42.241$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-10$	$4$	$10$	$-7$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{7}+\beta _{9})q^{3}+q^{4}+q^{5}+\cdots$
5290.2.a.bk	$5290$	$2$	5290.a	1.a	$1$	$15$	$15$	$42.241$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$0$	$15$	$5$	$-15$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
5290.2.a.bl	$5290$	$2$	5290.a	1.a	$1$	$15$	$15$	$42.241$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$0$	$15$	$5$	$15$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$

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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.