LMFDB - Newform search results

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 (29 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7098.2.a.d	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.e	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$2$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$
7098.2.a.m	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
7098.2.a.o	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.r	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-2$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$
7098.2.a.s	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.t	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
7098.2.a.w	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-3$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots$
7098.2.a.y	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.ba	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
7098.2.a.bh	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{41}) $	None	✓	$1$	$1$	$-2$	$-2$	$1$	$-2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots$
7098.2.a.bi	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$-2$	$1$	$-2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots$
7098.2.a.bj	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$-2$	$2$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots$
7098.2.a.bl	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$2$	$-3$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots$
7098.2.a.bo	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$2$	$2$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$
7098.2.a.bq	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$2$	$3$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$
7098.2.a.bs	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots$
7098.2.a.bt	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$-2$	$-1$	$2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{7}+\cdots$
7098.2.a.bw	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$2$	$-3$	$-2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots$
7098.2.a.by	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$2$	$-2$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-1+\beta )q^{5}+q^{6}+\cdots$
7098.2.a.cb	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$-3$	$-3$	$-3$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots$
7098.2.a.cd	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$-3$	$-3$	$0$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1-2\beta _{1}+\beta _{2})q^{5}+\cdots$
7098.2.a.ch	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$3$	$-3$	$-4$	$3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1-\beta _{1})q^{5}-q^{6}+\cdots$
7098.2.a.cj	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$3$	$-3$	$2$	$-3$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}-q^{6}+\cdots$
7098.2.a.cl	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$3$	$3$	$-8$	$3$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-3-\beta _{2})q^{5}+q^{6}+\cdots$
7098.2.a.cm	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$3$	$3$	$-2$	$-3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-1-\beta _{2})q^{5}+q^{6}+\cdots$
7098.2.a.cp	$7098$	$2$	7098.a	1.a	$1$	$6$	$6$	$56.678$	6.6.8569169.1	None	✓	$1$	$1$	$-6$	$-6$	$3$	$-6$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(\beta _{1}-\beta _{5})q^{5}+q^{6}+\cdots$
7098.2.a.cq	$7098$	$2$	7098.a	1.a	$1$	$6$	$6$	$56.678$	6.6.6148961.1	None	✓	$1$	$1$	$-6$	$6$	$-9$	$6$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(-2+\beta _{5})q^{5}-q^{6}+\cdots$
7098.2.a.cr	$7098$	$2$	7098.a	1.a	$1$	$6$	$6$	$56.678$	6.6.48406561.1	None	✓	$1$	$1$	$-6$	$6$	$-3$	$-6$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-q^{7}+\cdots$

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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.