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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 (37 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	11	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3146.2.a.a	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$-1$	$-3$	$-1$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}-q^{7}+\cdots$
3146.2.a.b	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-3$	$5$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}+5q^{7}+\cdots$
3146.2.a.c	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$-3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots$
3146.2.a.d	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$2$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+2q^{7}+\cdots$
3146.2.a.e	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}-3q^{9}+\cdots$
3146.2.a.f	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots$
3146.2.a.g	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots$
3146.2.a.h	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$-1$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{7}+\cdots$
3146.2.a.i	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$0$	$-1$	$2$	$1$	$3$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}+3q^{7}+\cdots$
3146.2.a.j	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$1$	$-2$	$3$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}+3q^{5}-2q^{6}+q^{7}+\cdots$
3146.2.a.k	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
3146.2.a.l	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$2$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-2q^{7}+\cdots$
3146.2.a.m	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-3q^{9}+\cdots$
3146.2.a.n	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-3$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots$
3146.2.a.o	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots$
3146.2.a.p	$3146$	$2$	3146.a	1.a	$1$	$1$	$1$	$25.121$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$0$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots$
3146.2.a.q	$3146$	$2$	3146.a	1.a	$1$	$2$	$2$	$25.121$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}-\beta q^{6}+\cdots$
3146.2.a.r	$3146$	$2$	3146.a	1.a	$1$	$2$	$2$	$25.121$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$3$	$-2$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}-2\beta q^{5}+(-1+\cdots)q^{6}+\cdots$
3146.2.a.s	$3146$	$2$	3146.a	1.a	$1$	$2$	$2$	$25.121$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$-2$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots$
3146.2.a.t	$3146$	$2$	3146.a	1.a	$1$	$2$	$2$	$25.121$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$3$	$-2$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta )q^{3}+q^{4}-2\beta q^{5}+(1+\cdots)q^{6}+\cdots$
3146.2.a.u	$3146$	$2$	3146.a	1.a	$1$	$3$	$3$	$25.121$	3.3.321.1	None	✓	$1$	$0$	$-3$	$0$	$2$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-\beta _{1}-\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
3146.2.a.v	$3146$	$2$	3146.a	1.a	$1$	$3$	$3$	$25.121$	3.3.321.1	None	✓	$1$	$0$	$3$	$0$	$2$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-\beta _{1}-\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
3146.2.a.w	$3146$	$2$	3146.a	1.a	$1$	$3$	$3$	$25.121$	3.3.961.1	None	✓	$1$	$0$	$3$	$1$	$2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
3146.2.a.x	$3146$	$2$	3146.a	1.a	$1$	$4$	$4$	$25.121$	4.4.2525.1	None	✓	$1$	$0$	$-4$	$-3$	$-4$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
3146.2.a.y	$3146$	$2$	3146.a	1.a	$1$	$4$	$4$	$25.121$	4.4.54332.1	None	✓	$1$	$0$	$-4$	$2$	$1$	$-3$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots$
3146.2.a.z	$3146$	$2$	3146.a	1.a	$1$	$4$	$4$	$25.121$	4.4.88057.1	None	✓	$1$	$0$	$-4$	$3$	$4$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{1}+\beta _{3})q^{5}+\cdots$
3146.2.a.ba	$3146$	$2$	3146.a	1.a	$1$	$4$	$4$	$25.121$	4.4.2525.1	None	✓	$1$	$1$	$4$	$-3$	$-4$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
3146.2.a.bb	$3146$	$2$	3146.a	1.a	$1$	$4$	$4$	$25.121$	4.4.54332.1	None	✓	$1$	$0$	$4$	$2$	$1$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{2}q^{3}+q^{4}+(1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots$
3146.2.a.bc	$3146$	$2$	3146.a	1.a	$1$	$4$	$4$	$25.121$	4.4.88057.1	None	✓	$1$	$0$	$4$	$3$	$4$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{1}+\beta _{3})q^{5}+\cdots$
3146.2.a.bd	$3146$	$2$	3146.a	1.a	$1$	$6$	$6$	$25.121$	6.6.8407625.1	None	✓	$1$	$1$	$-6$	$-3$	$4$	$-8$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(\beta _{2}+\beta _{3})q^{3}+q^{4}+(\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots$
3146.2.a.be	$3146$	$2$	3146.a	1.a	$1$	$6$	$6$	$25.121$	6.6.7465625.1	None	✓	$1$	$1$	$-6$	$-3$	$4$	$-6$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots$
3146.2.a.bf	$3146$	$2$	3146.a	1.a	$1$	$6$	$6$	$25.121$	6.6.9880625.1	None	✓	$1$	$0$	$-6$	$0$	$-6$	$9$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{2}q^{3}+q^{4}+(-1-\beta _{1})q^{5}+\cdots$
3146.2.a.bg	$3146$	$2$	3146.a	1.a	$1$	$6$	$6$	$25.121$	6.6.7465625.1	None	✓	$1$	$0$	$6$	$-3$	$4$	$6$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots$
3146.2.a.bh	$3146$	$2$	3146.a	1.a	$1$	$6$	$6$	$25.121$	6.6.8407625.1	None	✓	$1$	$0$	$6$	$-3$	$4$	$8$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(\beta _{2}+\beta _{3})q^{3}+q^{4}+(\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots$
3146.2.a.bi	$3146$	$2$	3146.a	1.a	$1$	$6$	$6$	$25.121$	6.6.9880625.1	None	✓	$1$	$1$	$6$	$0$	$-6$	$-9$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{2}q^{3}+q^{4}+(-1-\beta _{1})q^{5}+\cdots$
3146.2.a.bj	$3146$	$2$	3146.a	1.a	$1$	$8$	$8$	$25.121$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$0$	$-8$	$4$	$2$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$
3146.2.a.bk	$3146$	$2$	3146.a	1.a	$1$	$8$	$8$	$25.121$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$0$	$8$	$4$	$2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$

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Classical	Maass
Hilbert	Bianchi

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.