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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 (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	5	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2070.4.a.a	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$-5$	$-32$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}-5q^{5}-2^{5}q^{7}-8q^{8}+\cdots$
2070.4.a.c	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$-5$	$2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}-5q^{5}+2q^{7}-8q^{8}+\cdots$
2070.4.a.e	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$5$	$-18$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}+5q^{5}-18q^{7}-8q^{8}+\cdots$
2070.4.a.g	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$-5$	$-19$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}-5q^{5}-19q^{7}+8q^{8}+\cdots$
2070.4.a.i	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$-5$	$16$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}-5q^{5}+2^{4}q^{7}+8q^{8}+\cdots$
2070.4.a.k	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$5$	$-16$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}+5q^{5}-2^{4}q^{7}+8q^{8}+\cdots$
2070.4.a.l	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$5$	$-5$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}+5q^{5}-5q^{7}+8q^{8}+\cdots$
2070.4.a.n	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$5$	$3$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}+5q^{5}+3q^{7}+8q^{8}+\cdots$
2070.4.a.o	$2070$	$4$	2070.a	1.a	$1$	$1$	$1$	$122.134$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$5$	$12$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}+5q^{5}+12q^{7}+8q^{8}+\cdots$
2070.4.a.q	$2070$	$4$	2070.a	1.a	$1$	$2$	$2$	$122.134$	$\Q(\sqrt{14}) $	None	✓	$1$	$1$	$-4$	$0$	$-10$	$-2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}-5q^{5}+(-1+4\beta )q^{7}+\cdots$
2070.4.a.s	$2070$	$4$	2070.a	1.a	$1$	$2$	$2$	$122.134$	$\Q(\sqrt{73}) $	None	✓	$1$	$1$	$4$	$0$	$-10$	$-17$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}-5q^{5}+(-8-\beta )q^{7}+\cdots$
2070.4.a.t	$2070$	$4$	2070.a	1.a	$1$	$2$	$2$	$122.134$	$\Q(\sqrt{41}) $	None	✓	$1$	$1$	$4$	$0$	$10$	$-26$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}+5q^{5}+(-13-\beta )q^{7}+\cdots$
2070.4.a.v	$2070$	$4$	2070.a	1.a	$1$	$3$	$3$	$122.134$	$\mathbb{Q}[x]/(x^{3} - \cdots)$	None	✓	$1$	$1$	$-6$	$0$	$15$	$-2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}+5q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots$
2070.4.a.x	$2070$	$4$	2070.a	1.a	$1$	$3$	$3$	$122.134$	3.3.396732.1	None	✓	$1$	$1$	$-6$	$0$	$15$	$12$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}+5q^{5}+(4-\beta _{1}+\beta _{2})q^{7}+\cdots$
2070.4.a.y	$2070$	$4$	2070.a	1.a	$1$	$3$	$3$	$122.134$	3.3.460593.1	None	✓	$1$	$1$	$6$	$0$	$-15$	$-3$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}-5q^{5}+(-1+\beta _{2})q^{7}+\cdots$
2070.4.a.bb	$2070$	$4$	2070.a	1.a	$1$	$3$	$3$	$122.134$	3.3.471057.3	None	✓	$1$	$1$	$6$	$0$	$15$	$-35$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}+5q^{5}+(-12-\beta _{1}+\cdots)q^{7}+\cdots$
2070.4.a.bc	$2070$	$4$	2070.a	1.a	$1$	$3$	$3$	$122.134$	3.3.19544.1	None	✓	$1$	$1$	$6$	$0$	$15$	$-16$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}+5q^{5}+(-6+3\beta _{1}+\cdots)q^{7}+\cdots$
2070.4.a.bh	$2070$	$4$	2070.a	1.a	$1$	$4$	$4$	$122.134$	$\mathbb{Q}[x]/(x^{4} - \cdots)$	None	✓	$1$	$1$	$-8$	$0$	$-20$	$26$	$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}-5q^{5}+(6-\beta _{1})q^{7}+\cdots$
2070.4.a.bk	$2070$	$4$	2070.a	1.a	$1$	$5$	$5$	$122.134$	$\mathbb{Q}[x]/(x^{5} - \cdots)$	None	✓	$1$	$1$	$-10$	$0$	$-25$	$12$	$+$	$+$	$+$	$-$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}-5q^{5}+(2-\beta _{2})q^{7}+\cdots$
2070.4.a.bm	$2070$	$4$	2070.a	1.a	$1$	$5$	$5$	$122.134$	$\mathbb{Q}[x]/(x^{5} - \cdots)$	None	✓	$1$	$1$	$10$	$0$	$-25$	$0$	$-$	$+$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+2q^{2}+4q^{4}-5q^{5}+(-\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots$
2070.4.a.bo	$2070$	$4$	2070.a	1.a	$1$	$6$	$6$	$122.134$	$\mathbb{Q}[x]/(x^{6} - \cdots)$	None	✓	$1$	$1$	$-12$	$0$	$30$	$0$	$+$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-2q^{2}+4q^{4}+5q^{5}-\beta _{1}q^{7}-8q^{8}+\cdots$

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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.