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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 (25 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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3234.2.a.a	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-3$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{8}+\cdots$
3234.2.a.b	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
3234.2.a.d	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
3234.2.a.g	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$3$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\cdots$
3234.2.a.h	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-3$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{8}+\cdots$
3234.2.a.i	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{8}+\cdots$
3234.2.a.m	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
3234.2.a.n	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$2$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots$
3234.2.a.o	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$3$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{8}+\cdots$
3234.2.a.p	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-2$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots$
3234.2.a.r	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$2$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots$
3234.2.a.s	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$4$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{8}+\cdots$
3234.2.a.t	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots$
3234.2.a.v	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$4$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}+q^{8}+\cdots$
3234.2.a.w	$3234$	$2$	3234.a	1.a	$1$	$2$	$2$	$25.824$	$\Q(\sqrt{7}) $	None	✓	$1$	$0$	$-2$	$-2$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{8}+\cdots$
3234.2.a.y	$3234$	$2$	3234.a	1.a	$1$	$2$	$2$	$25.824$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$-2$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
3234.2.a.ba	$3234$	$2$	3234.a	1.a	$1$	$2$	$2$	$25.824$	$\Q(\sqrt{7}) $	None	✓	$1$	$0$	$-2$	$2$	$0$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots$
3234.2.a.bc	$3234$	$2$	3234.a	1.a	$1$	$2$	$2$	$25.824$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$-2$	$4$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots$
3234.2.a.be	$3234$	$2$	3234.a	1.a	$1$	$2$	$2$	$25.824$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$2$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots$
3234.2.a.bf	$3234$	$2$	3234.a	1.a	$1$	$3$	$3$	$25.824$	3.3.2700.1	None	✓	$1$	$0$	$3$	$-3$	$0$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+q^{8}+\cdots$
3234.2.a.bg	$3234$	$2$	3234.a	1.a	$1$	$3$	$3$	$25.824$	3.3.621.1	None	✓	$1$	$0$	$3$	$-3$	$0$	$0$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+q^{8}+\cdots$
3234.2.a.bh	$3234$	$2$	3234.a	1.a	$1$	$3$	$3$	$25.824$	3.3.2700.1	None	✓	$1$	$0$	$3$	$3$	$0$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+q^{8}+\cdots$
3234.2.a.bi	$3234$	$2$	3234.a	1.a	$1$	$3$	$3$	$25.824$	3.3.621.1	None	✓	$1$	$0$	$3$	$3$	$0$	$0$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}+q^{6}+q^{8}+\cdots$
3234.2.a.bk	$3234$	$2$	3234.a	1.a	$1$	$4$	$4$	$25.824$	4.4.14336.1	None	✓	$1$	$0$	$-4$	$4$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}-q^{6}-q^{8}+\cdots$
3234.2.a.bm	$3234$	$2$	3234.a	1.a	$1$	$4$	$4$	$25.824$	4.4.4352.1	None	✓	$1$	$0$	$4$	$4$	$4$	$0$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(1+\beta _{3})q^{5}+q^{6}+\cdots$

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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.