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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 (21 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	3	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8712.2.a.ba	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-3$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+(-3+2\beta )q^{7}+(1-2\beta )q^{13}+\cdots$
8712.2.a.bb	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$-3$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+(2-2\beta )q^{7}+2\beta q^{13}+\cdots$
8712.2.a.bc	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-3$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+(3-2\beta )q^{7}+(-1+2\beta )q^{13}+\cdots$
8712.2.a.bd	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+(-2-\beta )q^{13}+(2-\beta )q^{17}+\cdots$
8712.2.a.be	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}+(2+\beta )q^{13}+(-2+\beta )q^{17}+\cdots$
8712.2.a.bf	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$-3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-3\beta )q^{5}-3\beta q^{7}+(-2+2\beta )q^{13}+\cdots$
8712.2.a.bg	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-3\beta )q^{5}+3\beta q^{7}+(2-2\beta )q^{13}+\cdots$
8712.2.a.bh	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$-4$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(-2+\beta )q^{7}+(-2-\beta )q^{13}+\cdots$
8712.2.a.bi	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(-2-\beta )q^{7}+(-2+\beta )q^{13}+\cdots$
8712.2.a.bj	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{5}+(-1-\beta )q^{7}+(-4+\beta )q^{13}+\cdots$
8712.2.a.bk	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{5}+(1+\beta )q^{7}+(4-\beta )q^{13}-q^{17}+\cdots$
8712.2.a.bl	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$1$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{13}+\cdots$
8712.2.a.bm	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(-1+\beta )q^{7}+(4-3\beta )q^{13}+\cdots$
8712.2.a.bn	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(1-2\beta )q^{7}+(-3+2\beta )q^{13}+\cdots$
8712.2.a.bo	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(-1+2\beta )q^{7}+(3-2\beta )q^{13}+\cdots$
8712.2.a.bp	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(1-\beta )q^{7}+(-4+3\beta )q^{13}+\cdots$
8712.2.a.bq	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(1-\beta )q^{7}+(2-\beta )q^{13}+(-4+\cdots)q^{17}+\cdots$
8712.2.a.br	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$4$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(2+\beta )q^{5}+(-1-\beta )q^{7}+(-1-2\beta )q^{13}+\cdots$
8712.2.a.bs	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$4$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(2+\beta )q^{5}+(1+\beta )q^{7}+(1+2\beta )q^{13}+\cdots$
8712.2.a.bt	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$5$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(3-\beta )q^{5}+(-1-2\beta )q^{7}+(-1+2\beta )q^{13}+\cdots$
8712.2.a.bu	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$5$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(3-\beta )q^{5}+(1+2\beta )q^{7}+(1-2\beta )q^{13}+\cdots$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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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.