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	11	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6006.2.a.g	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$2$	$-1$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.i	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$4$	$1$	$+$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.j	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-1$	$+$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.l	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.n	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$1$	$+$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
6006.2.a.o	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$1$	$+$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
6006.2.a.s	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-2$	$-1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.t	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-2$	$1$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.w	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$0$	$1$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
6006.2.a.z	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$4$	$1$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.bf	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$2$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.bh	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots$
6006.2.a.bm	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$2$	$-2$	$0$	$2$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+\beta q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.bn	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$-2$	$2$	$-2$	$-$	$+$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$
6006.2.a.bo	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$-2$	$4$	$-2$	$-$	$+$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.bp	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$2$	$4$	$2$	$-$	$-$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.bq	$6006$	$2$	6006.a	1.a	$1$	$3$	$3$	$47.958$	3.3.568.1	None	✓	$1$	$0$	$-3$	$-3$	$0$	$-3$	$+$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.br	$6006$	$2$	6006.a	1.a	$1$	$3$	$3$	$47.958$	3.3.621.1	None	✓	$1$	$0$	$-3$	$-3$	$0$	$3$	$+$	$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$
6006.2.a.bu	$6006$	$2$	6006.a	1.a	$1$	$3$	$3$	$47.958$	3.3.316.1	None	✓	$1$	$0$	$3$	$3$	$-2$	$3$	$-$	$-$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}+q^{6}+\cdots$
6006.2.a.bx	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.15188.1	None	✓	$1$	$0$	$-4$	$-4$	$2$	$-4$	$+$	$+$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.by	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.13068.1	None	✓	$1$	$0$	$-4$	$-4$	$4$	$4$	$+$	$+$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1-\beta _{2})q^{5}+q^{6}+\cdots$
6006.2.a.bz	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.34196.1	None	✓	$1$	$0$	$-4$	$4$	$0$	$4$	$+$	$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.ca	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.9248.1	None	✓	$1$	$0$	$-4$	$4$	$0$	$4$	$+$	$-$	$-$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.cb	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.19664.1	None	✓	$1$	$0$	$-4$	$4$	$2$	$-4$	$+$	$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1+\beta _{3})q^{5}-q^{6}+\cdots$
6006.2.a.cc	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.21200.1	None	✓	$1$	$0$	$-4$	$4$	$6$	$-4$	$+$	$-$	$+$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1+\beta _{1})q^{5}-q^{6}+\cdots$
6006.2.a.cd	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.46912.1	None	✓	$1$	$0$	$4$	$4$	$0$	$-4$	$-$	$-$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.ce	$6006$	$2$	6006.a	1.a	$1$	$4$	$4$	$47.958$	4.4.20308.1	None	✓	$1$	$0$	$4$	$4$	$0$	$-4$	$-$	$-$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.cf	$6006$	$2$	6006.a	1.a	$1$	$6$	$6$	$47.958$	6.6.72306708.1	None	✓	$1$	$0$	$6$	$-6$	$0$	$6$	$-$	$+$	$-$	$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+\beta _{2}q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.cg	$6006$	$2$	6006.a	1.a	$1$	$7$	$7$	$47.958$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$0$	$7$	$7$	$2$	$7$	$-$	$-$	$-$	$-$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+q^{7}+\cdots$

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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.