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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 (26 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	7	11	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8008.2.a.a	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$-1$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-q^{13}+\cdots$
8008.2.a.b	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+q^{13}+\cdots$
8008.2.a.c	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	$\Q$	None	✓	$1$	$2$	$0$	$-1$	$-3$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots$
8008.2.a.d	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-3q^{9}+q^{11}-q^{13}+\cdots$
8008.2.a.e	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$1$	$1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+q^{5}+q^{7}+6q^{9}-q^{11}+q^{13}+\cdots$
8008.2.a.f	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$1$	$1$	$-2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(1-\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots$
8008.2.a.g	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$1$	$1$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+(-2+\beta )q^{9}+\cdots$
8008.2.a.h	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$0$	$3$	$5$	$2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(2+\beta )q^{5}+q^{7}+(1+3\beta )q^{9}+\cdots$
8008.2.a.i	$8008$	$2$	8008.a	1.a	$1$	$3$	$3$	$63.944$	3.3.229.1	None	✓	$1$	$1$	$0$	$2$	$6$	$-3$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{3}+(2-\beta _{1})q^{5}-q^{7}+(1+\cdots)q^{9}+\cdots$
8008.2.a.j	$8008$	$2$	8008.a	1.a	$1$	$5$	$5$	$63.944$	5.5.668973.1	None	✓	$1$	$0$	$0$	$1$	$-1$	$5$	$+$	$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{3}q^{5}+q^{7}+(1+\beta _{2}-\beta _{4})q^{9}+\cdots$
8008.2.a.k	$8008$	$2$	8008.a	1.a	$1$	$6$	$6$	$63.944$	6.6.244558277.1	None	✓	$1$	$0$	$0$	$-1$	$1$	$6$	$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{5}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots$
8008.2.a.l	$8008$	$2$	8008.a	1.a	$1$	$8$	$8$	$63.944$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$0$	$-5$	$-7$	$8$	$-$	$-$	$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{3})q^{3}+(-1+\beta _{5})q^{5}+q^{7}+\cdots$
8008.2.a.m	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$0$	$-5$	$-5$	$-9$	$-$	$+$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+(-1+\beta _{6})q^{5}-q^{7}+\cdots$
8008.2.a.n	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$-3$	$1$	$-9$	$+$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{6}q^{5}-q^{7}+(1+\beta _{4}-\beta _{5}+\cdots)q^{9}+\cdots$
8008.2.a.o	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$0$	$-2$	$-4$	$9$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{4}q^{5}+q^{7}+\beta _{2}q^{9}-q^{11}+\cdots$
8008.2.a.p	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$1$	$0$	$1$	$-4$	$-9$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(-\beta _{3}+\beta _{5}+\cdots)q^{9}+\cdots$
8008.2.a.q	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$3$	$8$	$9$	$-$	$-$	$-$	$+$	$-$	$5$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(1-\beta _{7})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$
8008.2.a.r	$8008$	$2$	8008.a	1.a	$1$	$9$	$9$	$63.944$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$5$	$3$	$-9$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots$
8008.2.a.s	$8008$	$2$	8008.a	1.a	$1$	$10$	$10$	$63.944$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$0$	$-3$	$-4$	$10$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{9}q^{5}+q^{7}+(1+\beta _{5}-\beta _{6}+\cdots)q^{9}+\cdots$
8008.2.a.t	$8008$	$2$	8008.a	1.a	$1$	$10$	$10$	$63.944$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$0$	$1$	$3$	$10$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+\beta _{6}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots$
8008.2.a.u	$8008$	$2$	8008.a	1.a	$1$	$10$	$10$	$63.944$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$0$	$2$	$-4$	$-10$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-\beta _{6}q^{5}-q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots$
8008.2.a.v	$8008$	$2$	8008.a	1.a	$1$	$11$	$11$	$63.944$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	$1$	$1$	$0$	$-2$	$2$	$-11$	$-$	$+$	$-$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{3}+\beta _{9}+\cdots)q^{9}+\cdots$
8008.2.a.w	$8008$	$2$	8008.a	1.a	$1$	$11$	$11$	$63.944$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	$1$	$0$	$0$	$3$	$-2$	$-11$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots$
8008.2.a.x	$8008$	$2$	8008.a	1.a	$1$	$12$	$12$	$63.944$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$0$	$0$	$4$	$6$	$12$	$+$	$-$	$-$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+\beta _{4}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots$
8008.2.a.y	$8008$	$2$	8008.a	1.a	$1$	$14$	$14$	$63.944$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	✓	$1$	$1$	$0$	$-3$	$-6$	$14$	$-$	$-$	$+$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{10}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots$
8008.2.a.z	$8008$	$2$	8008.a	1.a	$1$	$15$	$15$	$63.944$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	$1$	$0$	$0$	$-1$	$4$	$-15$	$+$	$+$	$+$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{11}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots$

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Classical	Maass
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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.