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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	11	73	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8030.2.a.a	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$-3$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots$
8030.2.a.b	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}-3q^{9}+\cdots$
8030.2.a.c	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-3q^{9}+\cdots$
8030.2.a.d	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$3$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots$
8030.2.a.e	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$0$	$-1$	$3$	$-1$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots$
8030.2.a.f	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$0$	$-1$	$3$	$-1$	$5$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}+5q^{7}+\cdots$
8030.2.a.g	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$1$	$1$	$-3$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots$
8030.2.a.h	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$0$	$1$	$-2$	$-1$	$4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+4q^{7}+\cdots$
8030.2.a.i	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-3q^{9}+\cdots$
8030.2.a.j	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$1$	$-1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
8030.2.a.k	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$-1$	$-2$	$-2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots$
8030.2.a.l	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$1$	$-2$	$-3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-2+\cdots)q^{7}+\cdots$
8030.2.a.m	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$2$	$-3$	$2$	$-2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
8030.2.a.n	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$2$	$-3$	$2$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
8030.2.a.o	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-1$	$-2$	$2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots$
8030.2.a.p	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$2$	$-1$	$-2$	$5$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots$
8030.2.a.q	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$1$	$-2$	$-5$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots$
8030.2.a.r	$8030$	$2$	8030.a	1.a	$1$	$3$	$3$	$64.120$	3.3.316.1	None	✓	$1$	$1$	$-3$	$-1$	$-3$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.s	$8030$	$2$	8030.a	1.a	$1$	$3$	$3$	$64.120$	3.3.229.1	None	✓	$1$	$1$	$-3$	$0$	$-3$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
8030.2.a.t	$8030$	$2$	8030.a	1.a	$1$	$3$	$3$	$64.120$	3.3.229.1	None	✓	$1$	$1$	$3$	$-2$	$3$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
8030.2.a.u	$8030$	$2$	8030.a	1.a	$1$	$4$	$4$	$64.120$	4.4.3981.1	None	✓	$1$	$1$	$4$	$-1$	$4$	$-12$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{3}q^{3}+q^{4}+q^{5}+\beta _{3}q^{6}+\cdots$
8030.2.a.v	$8030$	$2$	8030.a	1.a	$1$	$5$	$5$	$64.120$	5.5.216637.1	None	✓	$1$	$1$	$5$	$-5$	$5$	$-8$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
8030.2.a.w	$8030$	$2$	8030.a	1.a	$1$	$6$	$6$	$64.120$	6.6.47685496.1	None	✓	$1$	$1$	$-6$	$-1$	$-6$	$6$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.x	$8030$	$2$	8030.a	1.a	$1$	$6$	$6$	$64.120$	6.6.32730625.1	None	✓	$1$	$1$	$-6$	$2$	$-6$	$-3$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}-q^{5}+\cdots$
8030.2.a.y	$8030$	$2$	8030.a	1.a	$1$	$6$	$6$	$64.120$	6.6.80296592.1	None	✓	$1$	$1$	$6$	$-3$	$6$	$3$	$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
8030.2.a.z	$8030$	$2$	8030.a	1.a	$1$	$7$	$7$	$64.120$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$1$	$-7$	$-2$	$7$	$-3$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.ba	$8030$	$2$	8030.a	1.a	$1$	$7$	$7$	$64.120$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$1$	$-7$	$2$	$7$	$-7$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{2}q^{3}+q^{4}+q^{5}+\beta _{2}q^{6}+\cdots$
8030.2.a.bb	$8030$	$2$	8030.a	1.a	$1$	$8$	$8$	$64.120$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$8$	$-3$	$-8$	$-4$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
8030.2.a.bc	$8030$	$2$	8030.a	1.a	$1$	$11$	$11$	$64.120$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	$1$	$1$	$-11$	$-5$	$11$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.bd	$8030$	$2$	8030.a	1.a	$1$	$14$	$14$	$64.120$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	✓	$1$	$0$	$14$	$6$	$-14$	$4$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.be	$8030$	$2$	8030.a	1.a	$1$	$15$	$15$	$64.120$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$0$	$-15$	$3$	$15$	$7$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
8030.2.a.bf	$8030$	$2$	8030.a	1.a	$1$	$15$	$15$	$64.120$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$1$	$15$	$-4$	$-15$	$-6$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
8030.2.a.bg	$8030$	$2$	8030.a	1.a	$1$	$15$	$15$	$64.120$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$0$	$15$	$7$	$-15$	$3$	$-$	$+$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.bh	$8030$	$2$	8030.a	1.a	$1$	$17$	$17$	$64.120$	$\mathbb{Q}[x]/(x^{17} - \cdots)$	None	✓	$1$	$0$	$-17$	$-1$	$-17$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.bi	$8030$	$2$	8030.a	1.a	$1$	$17$	$17$	$64.120$	$\mathbb{Q}[x]/(x^{17} - \cdots)$	None	✓	$1$	$0$	$-17$	$7$	$17$	$9$	$+$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
8030.2.a.bj	$8030$	$2$	8030.a	1.a	$1$	$18$	$18$	$64.120$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	$1$	$0$	$-18$	$-6$	$-18$	$-6$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.bk	$8030$	$2$	8030.a	1.a	$1$	$18$	$18$	$64.120$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	$1$	$0$	$18$	$6$	$18$	$12$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
8030.2.a.bl	$8030$	$2$	8030.a	1.a	$1$	$19$	$19$	$64.120$	$\mathbb{Q}[x]/(x^{19} - \cdots)$	None	✓	$1$	$0$	$19$	$10$	$19$	$8$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(1-\beta _{1}+\cdots)q^{6}+\cdots$

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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.