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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 (19 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.a	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-q^{5}+q^{7}+2q^{10}+\cdots$
7623.2.a.g	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}+q^{7}+3q^{8}-2q^{10}+\cdots$
7623.2.a.h	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{5}+q^{7}+3q^{8}-3q^{10}+\cdots$
7623.2.a.j	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+q^{7}+4q^{13}+4q^{16}+\cdots$
7623.2.a.l	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+3q^{5}+q^{7}-4q^{13}+4q^{16}+\cdots$
7623.2.a.m	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots$
7623.2.a.n	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{5}+q^{7}-3q^{8}+2q^{10}+\cdots$
7623.2.a.s	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+3q^{5}+q^{7}+6q^{10}+\cdots$
7623.2.a.z	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-1$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{5}+q^{7}+\cdots$
7623.2.a.be	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-1$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+q^{7}+(-4+\cdots)q^{8}+\cdots$
7623.2.a.bs	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$1$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+(1-2\beta )q^{5}+q^{7}+\cdots$
7623.2.a.bv	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$4$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(2+2\beta )q^{4}+(2+\beta )q^{5}+\cdots$
7623.2.a.bx	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots$
7623.2.a.ca	$7623$	$2$	7623.a	1.a	$1$	$3$	$3$	$60.870$	3.3.316.1	None	✓	$1$	$0$	$-1$	$0$	$-1$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{2})q^{5}+\cdots$
7623.2.a.cb	$7623$	$2$	7623.a	1.a	$1$	$3$	$3$	$60.870$	3.3.837.1	None	✓	$1$	$0$	$0$	$0$	$0$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}+\beta _{2})q^{5}+\cdots$
7623.2.a.cd	$7623$	$2$	7623.a	1.a	$1$	$3$	$3$	$60.870$	3.3.229.1	None	✓	$1$	$0$	$2$	$0$	$-4$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{2}+(2+\beta _{1})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$
7623.2.a.cl	$7623$	$2$	7623.a	1.a	$1$	$4$	$4$	$60.870$	4.4.725.1	None	✓	$1$	$0$	$1$	$0$	$4$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1}-\beta _{2})q^{2}+(\beta _{1}+\beta _{3})q^{4}+2\beta _{2}q^{5}+\cdots$
7623.2.a.co	$7623$	$2$	7623.a	1.a	$1$	$4$	$4$	$60.870$	4.4.2525.1	None	✓	$1$	$0$	$2$	$0$	$6$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$
7623.2.a.cy	$7623$	$2$	7623.a	1.a	$1$	$10$	$10$	$60.870$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$0$	$0$	$-5$	$10$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{6}q^{5}+q^{7}+\cdots$

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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.