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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 (24 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
2160.4.a.f	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-5$	$6$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{5}+6q^{7}-47q^{11}-5q^{13}+131q^{17}+\cdots$
2160.4.a.g	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-5$	$13$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{5}+13q^{7}+30q^{11}-61q^{13}+\cdots$
2160.4.a.i	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-5$	$22$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{5}+22q^{7}+12q^{11}+38q^{13}+\cdots$
2160.4.a.j	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-5$	$34$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{5}+34q^{7}-48q^{11}-70q^{13}+\cdots$
2160.4.a.k	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$5$	$-17$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+5q^{5}-17q^{7}+30q^{11}-61q^{13}+\cdots$
2160.4.a.l	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$5$	$-14$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+5q^{5}-14q^{7}-3q^{11}+47q^{13}+\cdots$
2160.4.a.r	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$5$	$22$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+5q^{5}+22q^{7}-12q^{11}+38q^{13}+\cdots$
2160.4.a.s	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$5$	$22$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+5q^{5}+22q^{7}-9q^{11}+17q^{13}+\cdots$
2160.4.a.t	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$5$	$34$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+5q^{5}+34q^{7}+48q^{11}-70q^{13}+\cdots$
2160.4.a.u	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$0$	$0$	$-10$	$-13$	$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	$q-5q^{5}+(-7-\beta )q^{7}+(10+5\beta )q^{11}+\cdots$
2160.4.a.w	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	$\Q(\sqrt{401}) $	None	✓	$1$	$0$	$0$	$0$	$-10$	$-1$	$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	$q-5q^{5}+(-1-\beta )q^{7}+(2^{4}-\beta )q^{11}+\cdots$
2160.4.a.x	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	$\Q(\sqrt{21}) $	None	✓	$1$	$0$	$0$	$0$	$-10$	$2$	$-$	$-$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	$q-5q^{5}+(1+\beta )q^{7}+(-21+\beta )q^{11}+\cdots$
2160.4.a.y	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	$\Q(\sqrt{241}) $	None	✓	$1$	$0$	$0$	$0$	$-10$	$5$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-5q^{5}+(3-\beta )q^{7}+(-2-\beta )q^{11}+\cdots$
2160.4.a.bc	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	$\Q(\sqrt{21}) $	None	✓	$1$	$0$	$0$	$0$	$10$	$2$	$-$	$+$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	$q+5q^{5}+(1+\beta )q^{7}+(21-\beta )q^{11}+(-7+\cdots)q^{13}+\cdots$
2160.4.a.be	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.5637.1	None	✓	$1$	$0$	$0$	$0$	$-15$	$-44$	$-$	$-$	$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	$q-5q^{5}+(-15-\beta _{1})q^{7}+(12-\beta _{1}+\cdots)q^{11}+\cdots$
2160.4.a.bf	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.47977.1	None	✓	$1$	$0$	$0$	$0$	$-15$	$-9$	$+$	$+$	$+$	$+$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	$q-5q^{5}+(-3-\beta _{2})q^{7}+(6+\beta _{1}-\beta _{2})q^{11}+\cdots$
2160.4.a.bj	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.4281.1	None	✓	$1$	$0$	$0$	$0$	$-15$	$8$	$+$	$+$	$+$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	$q-5q^{5}+(3-\beta _{1})q^{7}+(-4+\beta _{1}-\beta _{2})q^{11}+\cdots$
2160.4.a.bl	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.697.1	None	✓	$1$	$0$	$0$	$0$	$-15$	$24$	$+$	$+$	$+$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	$q-5q^{5}+(8+\beta _{2})q^{7}+(2-\beta _{1}+3\beta _{2})q^{11}+\cdots$
2160.4.a.bm	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.5637.1	None	✓	$1$	$0$	$0$	$0$	$15$	$-44$	$-$	$+$	$-$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	$q+5q^{5}+(-15-\beta _{1})q^{7}+(-12+\beta _{1}+\cdots)q^{11}+\cdots$
2160.4.a.bp	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1765.1	None	✓	$1$	$0$	$0$	$0$	$15$	$0$	$+$	$-$	$-$	$+$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	$q+5q^{5}+\beta _{1}q^{7}+(9+\beta _{1}-2\beta _{2})q^{11}+\cdots$
2160.4.a.bq	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1772.1	None	✓	$1$	$0$	$0$	$0$	$15$	$4$	$-$	$+$	$-$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	$q+5q^{5}+(3\beta _{1}+\beta _{2})q^{7}+(-3+5\beta _{1}+\cdots)q^{11}+\cdots$
2160.4.a.br	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.4281.1	None	✓	$1$	$0$	$0$	$0$	$15$	$8$	$+$	$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	$q+5q^{5}+(3-\beta _{1})q^{7}+(4-\beta _{1}+\beta _{2})q^{11}+\cdots$
2160.4.a.bt	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.697.1	None	✓	$1$	$0$	$0$	$0$	$15$	$24$	$+$	$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	$q+5q^{5}+(8+\beta _{2})q^{7}+(-2+\beta _{1}-3\beta _{2})q^{11}+\cdots$
2160.4.a.bv	$2160$	$4$	2160.a	1.a	$1$	$4$	$4$	$127.444$	$\mathbb{Q}[x]/(x^{4} - \cdots)$	None	✓	$1$	$0$	$0$	$0$	$20$	$-14$	$+$	$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	$q+5q^{5}+(-3+\beta _{2})q^{7}+(1-\beta _{1})q^{11}+\cdots$

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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.