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 (19 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2205.2.a.a	$2205$	$2$	2205.a	1.a	$1$	$1$	$1$	$17.607$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}+2q^{11}+\cdots$
2205.2.a.b	$2205$	$2$	2205.a	1.a	$1$	$1$	$1$	$17.607$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+6q^{13}+\cdots$
2205.2.a.g	$2205$	$2$	2205.a	1.a	$1$	$1$	$1$	$17.607$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}-2q^{11}+\cdots$
2205.2.a.i	$2205$	$2$	2205.a	1.a	$1$	$1$	$1$	$17.607$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}+4q^{11}+\cdots$
2205.2.a.k	$2205$	$2$	2205.a	1.a	$1$	$1$	$1$	$17.607$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-2q^{10}+6q^{11}+\cdots$
2205.2.a.l	$2205$	$2$	2205.a	1.a	$1$	$1$	$1$	$17.607$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}+2q^{10}-q^{11}+\cdots$
2205.2.a.m	$2205$	$2$	2205.a	1.a	$1$	$1$	$1$	$17.607$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}+2q^{10}+6q^{11}+\cdots$
2205.2.a.n	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(-3+\cdots)q^{8}+\cdots$
2205.2.a.q	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots$
2205.2.a.r	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots$
2205.2.a.t	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+(3-2\beta )q^{11}+\cdots$
2205.2.a.x	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$1$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(4+\beta )q^{8}+\cdots$
2205.2.a.y	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}-q^{5}+(3+\beta )q^{8}+\cdots$
2205.2.a.z	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+(6+2\beta )q^{8}+\cdots$
2205.2.a.ba	$2205$	$2$	2205.a	1.a	$1$	$2$	$2$	$17.607$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(2+2\beta )q^{4}+q^{5}+(6+2\beta )q^{8}+\cdots$
2205.2.a.bd	$2205$	$2$	2205.a	1.a	$1$	$3$	$3$	$17.607$	3.3.404.1	None	✓	$1$	$0$	$2$	$0$	$-3$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots$
2205.2.a.be	$2205$	$2$	2205.a	1.a	$1$	$3$	$3$	$17.607$	3.3.404.1	None	✓	$1$	$0$	$2$	$0$	$3$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$
2205.2.a.bf	$2205$	$2$	2205.a	1.a	$1$	$4$	$4$	$17.607$	4.4.4352.1	None	✓	$1$	$0$	$-4$	$0$	$-4$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1}+\beta _{3})q^{2}+(2+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$
2205.2.a.bi	$2205$	$2$	2205.a	1.a	$1$	$4$	$4$	$17.607$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$0$	$0$	$4$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+\beta _{3}q^{8}+\beta _{1}q^{10}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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.