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 (27 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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5586.2.a.b	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-2$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots$
5586.2.a.e	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
5586.2.a.f	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
5586.2.a.h	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
5586.2.a.i	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$2$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots$
5586.2.a.l	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-3$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{8}+\cdots$
5586.2.a.n	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
5586.2.a.p	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
5586.2.a.q	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
5586.2.a.r	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
5586.2.a.t	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-2$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots$
5586.2.a.u	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$0$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
5586.2.a.v	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
5586.2.a.w	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$2$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots$
5586.2.a.y	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-2$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots$
5586.2.a.z	$5586$	$2$	5586.a	1.a	$1$	$1$	$1$	$44.604$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-2$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots$
5586.2.a.bd	$5586$	$2$	5586.a	1.a	$1$	$2$	$2$	$44.604$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$2$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots$
5586.2.a.bg	$5586$	$2$	5586.a	1.a	$1$	$2$	$2$	$44.604$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$-2$	$-6$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-3+\beta )q^{5}-q^{6}+\cdots$
5586.2.a.bj	$5586$	$2$	5586.a	1.a	$1$	$2$	$2$	$44.604$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$-2$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
5586.2.a.bm	$5586$	$2$	5586.a	1.a	$1$	$2$	$2$	$44.604$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$2$	$-4$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-2+\beta )q^{5}+q^{6}+\cdots$
5586.2.a.bo	$5586$	$2$	5586.a	1.a	$1$	$2$	$2$	$44.604$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$2$	$0$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$
5586.2.a.bs	$5586$	$2$	5586.a	1.a	$1$	$3$	$3$	$44.604$	3.3.404.1	None	✓	$1$	$1$	$-3$	$-3$	$1$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+\beta _{2}q^{5}+q^{6}-q^{8}+\cdots$
5586.2.a.bv	$5586$	$2$	5586.a	1.a	$1$	$3$	$3$	$44.604$	3.3.404.1	None	✓	$1$	$1$	$3$	$3$	$-5$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-2+\beta _{1})q^{5}+q^{6}+\cdots$
5586.2.a.bx	$5586$	$2$	5586.a	1.a	$1$	$4$	$4$	$44.604$	4.4.4352.1	None	✓	$1$	$1$	$-4$	$-4$	$4$	$0$	$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1+\beta _{3})q^{5}+q^{6}+\cdots$
5586.2.a.by	$5586$	$2$	5586.a	1.a	$1$	$4$	$4$	$44.604$	4.4.4352.1	None	✓	$1$	$1$	$-4$	$4$	$-4$	$0$	$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(-1-\beta _{3})q^{5}-q^{6}+\cdots$
5586.2.a.bz	$5586$	$2$	5586.a	1.a	$1$	$4$	$4$	$44.604$	4.4.29268.1	None	✓	$1$	$1$	$-4$	$4$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}-q^{6}-q^{8}+\cdots$
5586.2.a.ca	$5586$	$2$	5586.a	1.a	$1$	$4$	$4$	$44.604$	4.4.202932.1	None	✓	$1$	$1$	$4$	$-4$	$-2$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+q^{8}+\cdots$

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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.