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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (23 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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
960.4.a.b	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$-5$	$-24$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-5q^{5}-24q^{7}+9q^{9}-52q^{11}+\cdots$
960.4.a.d	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$-5$	$-12$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-5q^{5}-12q^{7}+9q^{9}+24q^{11}+\cdots$
960.4.a.f	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$-5$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-5q^{5}+4q^{7}+9q^{9}+40q^{11}+\cdots$
960.4.a.g	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$-5$	$8$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-5q^{5}+8q^{7}+9q^{9}-20q^{11}+\cdots$
960.4.a.i	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$-5$	$32$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-5q^{5}+2^{5}q^{7}+9q^{9}-2^{6}q^{11}+\cdots$
960.4.a.j	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$-5$	$32$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-5q^{5}+2^{5}q^{7}+9q^{9}+60q^{11}+\cdots$
960.4.a.k	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$5$	$-20$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+5q^{5}-20q^{7}+9q^{9}-56q^{11}+\cdots$
960.4.a.l	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$5$	$-20$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+5q^{5}-20q^{7}+9q^{9}-24q^{11}+\cdots$
960.4.a.o	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$5$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+5q^{5}-4q^{7}+9q^{9}+72q^{11}+\cdots$
960.4.a.p	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$5$	$12$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+5q^{5}+12q^{7}+9q^{9}+20q^{11}+\cdots$
960.4.a.r	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$5$	$28$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+5q^{5}+28q^{7}+9q^{9}-24q^{11}+\cdots$
960.4.a.s	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$-5$	$-32$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-5q^{5}-2^{5}q^{7}+9q^{9}-60q^{11}+\cdots$
960.4.a.v	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$-5$	$-8$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-5q^{5}-8q^{7}+9q^{9}+20q^{11}+\cdots$
960.4.a.z	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$-5$	$16$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-5q^{5}+2^{4}q^{7}+9q^{9}-24q^{11}+\cdots$
960.4.a.ba	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$-5$	$24$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-5q^{5}+24q^{7}+9q^{9}+52q^{11}+\cdots$
960.4.a.bc	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$5$	$-28$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+5q^{5}-28q^{7}+9q^{9}+24q^{11}+\cdots$
960.4.a.bf	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$5$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+5q^{5}+4q^{7}+9q^{9}-72q^{11}+\cdots$
960.4.a.bh	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$5$	$8$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+5q^{5}+8q^{7}+9q^{9}+4q^{11}+\cdots$
960.4.a.bi	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$5$	$20$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+5q^{5}+20q^{7}+9q^{9}+24q^{11}+\cdots$
960.4.a.bj	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$5$	$20$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+5q^{5}+20q^{7}+9q^{9}+56q^{11}+\cdots$
960.4.a.bm	$960$	$4$	960.a	1.a	$1$	$2$	$2$	$56.642$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$0$	$-6$	$10$	$12$	$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-3q^{3}+5q^{5}+(6+\beta )q^{7}+9q^{9}+(12+\cdots)q^{11}+\cdots$
960.4.a.bn	$960$	$4$	960.a	1.a	$1$	$2$	$2$	$56.642$	$\Q(\sqrt{89}) $	None	✓	$1$	$0$	$0$	$6$	$-10$	$-12$	$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+3q^{3}-5q^{5}+(-6-\beta )q^{7}+9q^{9}+\cdots$
960.4.a.bp	$960$	$4$	960.a	1.a	$1$	$2$	$2$	$56.642$	$\Q(\sqrt{201}) $	None	✓	$1$	$0$	$0$	$6$	$10$	$-4$	$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+3q^{3}+5q^{5}+(-2-\beta )q^{7}+9q^{9}+\cdots$

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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.