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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 (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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2450.2.a.b	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$-1$	$-3$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots$
2450.2.a.c	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$-1$	$-3$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots$
2450.2.a.g	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}-2q^{9}+\cdots$
2450.2.a.i	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots$
2450.2.a.j	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}-3q^{9}+3q^{11}-5q^{13}+\cdots$
2450.2.a.o	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots$
2450.2.a.p	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots$
2450.2.a.s	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$-3$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-3q^{3}+q^{4}-3q^{6}+q^{8}+6q^{9}+\cdots$
2450.2.a.t	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$-2$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots$
2450.2.a.u	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$-2$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots$
2450.2.a.v	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$-2$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots$
2450.2.a.y	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots$
2450.2.a.ba	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-3q^{9}+3q^{11}-5q^{13}+\cdots$
2450.2.a.bc	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-2q^{9}+\cdots$
2450.2.a.bd	$2450$	$2$	2450.a	1.a	$1$	$1$	$1$	$19.563$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-2q^{9}+\cdots$
2450.2.a.bj	$2450$	$2$	2450.a	1.a	$1$	$2$	$2$	$19.563$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$-2$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}-q^{9}+\cdots$
2450.2.a.bk	$2450$	$2$	2450.a	1.a	$1$	$2$	$2$	$19.563$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$-2$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}-q^{9}+\cdots$
2450.2.a.bl	$2450$	$2$	2450.a	1.a	$1$	$2$	$2$	$19.563$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}+3q^{9}+\cdots$
2450.2.a.bo	$2450$	$2$	2450.a	1.a	$1$	$2$	$2$	$19.563$	$\Q(\sqrt{2}) $	None	✓	$2$	$1$	$2$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-3q^{9}-4q^{11}+3\beta q^{13}+\cdots$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
Higher genus families
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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.