LMFDB - Newform search results

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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 (47 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
9600.2.a.a	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots$
9600.2.a.g	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$
9600.2.a.j	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-4q^{11}-2q^{13}+2q^{17}+\cdots$
9600.2.a.k	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-4q^{11}+2q^{13}+2q^{17}+\cdots$
9600.2.a.l	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-2q^{11}-4q^{13}-q^{27}+\cdots$
9600.2.a.n	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-2q^{11}+2q^{13}-2q^{17}+\cdots$
9600.2.a.o	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-2q^{11}+4q^{13}-q^{27}+\cdots$
9600.2.a.p	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+2q^{11}-2q^{13}+2q^{17}+\cdots$
9600.2.a.q	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+2q^{11}+2q^{13}+2q^{17}+\cdots$
9600.2.a.s	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+4q^{11}+2q^{13}-2q^{17}+\cdots$
9600.2.a.t	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$
9600.2.a.v	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$
9600.2.a.x	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$
9600.2.a.ba	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots$
9600.2.a.bd	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}+6q^{13}-2q^{17}+\cdots$
9600.2.a.be	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}+2q^{11}-4q^{21}+\cdots$
9600.2.a.bi	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$
9600.2.a.bl	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-4q^{11}-2q^{13}-2q^{17}+\cdots$
9600.2.a.bm	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-4q^{11}+2q^{13}-2q^{17}+\cdots$
9600.2.a.bn	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-2q^{11}-2q^{13}+2q^{17}+\cdots$
9600.2.a.bp	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+2q^{11}-4q^{13}+q^{27}+\cdots$
9600.2.a.bq	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+2q^{11}-2q^{13}-2q^{17}+\cdots$
9600.2.a.br	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+2q^{11}+2q^{13}-2q^{17}+\cdots$
9600.2.a.bt	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+4q^{11}-2q^{13}+2q^{17}+\cdots$
9600.2.a.bw	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots$
9600.2.a.by	$9600$	$2$	9600.a	1.a	$1$	$1$	$1$	$76.656$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots$
9600.2.a.cg	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{7}+q^{9}+\beta q^{11}+\cdots$
9600.2.a.ch	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{10}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots$
9600.2.a.ci	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{10}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{7}+q^{9}+\beta q^{11}+\cdots$
9600.2.a.cj	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots$
9600.2.a.ck	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{7}+q^{9}+(2+\beta )q^{11}+\cdots$
9600.2.a.cl	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-1-\beta )q^{7}+q^{9}+2q^{11}+\cdots$
9600.2.a.cm	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta )q^{7}+q^{9}+(2-3\beta )q^{11}+\cdots$
9600.2.a.cp	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{10}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{7}+q^{9}-\beta q^{11}-q^{13}+\cdots$
9600.2.a.cr	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{7}+q^{9}-\beta q^{11}+(1+\cdots)q^{13}+\cdots$
9600.2.a.cw	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta )q^{7}+q^{9}-2q^{11}+\cdots$
9600.2.a.cx	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{7}+q^{9}+(-2+3\beta )q^{11}+\cdots$
9600.2.a.cy	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$
9600.2.a.cz	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{10}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots$
9600.2.a.db	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots$
9600.2.a.dd	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{7}+q^{9}+(2+\beta )q^{11}+\cdots$
9600.2.a.de	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{7}+q^{9}+(2-3\beta )q^{11}+\cdots$
9600.2.a.df	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(1+\beta )q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$
9600.2.a.dg	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$2$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(1+\beta )q^{7}+q^{9}-2q^{11}+(-1+\cdots)q^{13}+\cdots$
9600.2.a.dh	$9600$	$2$	9600.a	1.a	$1$	$2$	$2$	$76.656$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(1+\beta )q^{7}+q^{9}+(-2-3\beta )q^{11}+\cdots$
9600.2.a.do	$9600$	$2$	9600.a	1.a	$1$	$3$	$3$	$76.656$	3.3.148.1	None	✓	$1$	$1$	$0$	$-3$	$0$	$-4$	$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta _{1})q^{7}+q^{9}+(-2-\beta _{2})q^{11}+\cdots$
9600.2.a.du	$9600$	$2$	9600.a	1.a	$1$	$3$	$3$	$76.656$	3.3.148.1	None	✓	$1$	$1$	$0$	$3$	$0$	$4$	$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+(1-\beta _{1})q^{7}+q^{9}+(-2-\beta _{2})q^{11}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.