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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 (20 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
7623.2.a.d	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+3q^{5}-q^{7}-6q^{10}+\cdots$
7623.2.a.e	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}+q^{10}+\cdots$
7623.2.a.f	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}-q^{7}+3q^{8}-2q^{10}+\cdots$
7623.2.a.i	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-3q^{5}-q^{7}+4q^{13}+4q^{16}+\cdots$
7623.2.a.k	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+3q^{5}-q^{7}+4q^{13}+4q^{16}+\cdots$
7623.2.a.o	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+3q^{5}-q^{7}-3q^{8}+3q^{10}+\cdots$
7623.2.a.q	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$-1$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-q^{7}-2q^{10}+\cdots$
7623.2.a.t	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-3$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}-q^{5}-q^{7}+\cdots$
7623.2.a.w	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$0$	$-1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+(-2+3\beta )q^{5}-q^{7}+3q^{8}+\cdots$
7623.2.a.x	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$4$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+(2-\beta )q^{5}+\cdots$
7623.2.a.bc	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(1-2\beta )q^{5}-q^{7}+\cdots$
7623.2.a.bf	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$-1$	$0$	$-6$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(3+\beta )q^{4}-3q^{5}-q^{7}+(-5+\cdots)q^{8}+\cdots$
7623.2.a.bj	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}+3q^{4}-\beta q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7623.2.a.bl	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$4$	$-2$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{2}+3q^{4}+2q^{5}-q^{7}-\beta q^{8}+\cdots$
7623.2.a.bm	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7623.2.a.bp	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$0$	$3$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}-q^{7}+\cdots$
7623.2.a.bt	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$1$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2+\beta )q^{4}-q^{5}-q^{7}+(4+\beta )q^{8}+\cdots$
7623.2.a.by	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$3$	$0$	$-1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}-\beta q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7623.2.a.cc	$7623$	$2$	7623.a	1.a	$1$	$3$	$3$	$60.870$	3.3.316.1	None	✓	$1$	$1$	$1$	$0$	$-1$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{2})q^{5}+\cdots$
7623.2.a.cw	$7623$	$2$	7623.a	1.a	$1$	$8$	$8$	$60.870$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	$1$	$1$	$1$	$0$	$-10$	$-8$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{5}+\beta _{6})q^{4}+(-2-\beta _{2}+\cdots)q^{5}+\cdots$

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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.