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 (30 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	5	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7280.2.a.a	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}-q^{7}+q^{9}-6q^{11}-q^{13}+\cdots$
7280.2.a.b	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$
7280.2.a.d	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+q^{7}+q^{9}-q^{13}-2q^{15}+\cdots$
7280.2.a.e	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$
7280.2.a.f	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots$
7280.2.a.i	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-3q^{9}-q^{13}+6q^{17}+\cdots$
7280.2.a.j	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{9}-2q^{11}+q^{13}+\cdots$
7280.2.a.k	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{9}-q^{13}-2q^{17}+\cdots$
7280.2.a.n	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}-3q^{9}+2q^{11}-q^{13}+\cdots$
7280.2.a.o	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-3q^{9}+q^{13}-6q^{17}+\cdots$
7280.2.a.r	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}-2q^{9}+3q^{11}-q^{13}+\cdots$
7280.2.a.s	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}-q^{7}+q^{9}+q^{13}-2q^{15}+\cdots$
7280.2.a.t	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}-q^{7}+q^{9}+q^{13}-2q^{15}+\cdots$
7280.2.a.u	$7280$	$2$	7280.a	1.a	$1$	$1$	$1$	$58.131$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$1$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}+q^{13}+\cdots$
7280.2.a.x	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}-q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots$
7280.2.a.z	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-1$	$2$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}-q^{7}+(-2+\beta )q^{9}+4\beta q^{11}+\cdots$
7280.2.a.ba	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-1$	$2$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}+q^{7}+(-2+\beta )q^{9}-2\beta q^{11}+\cdots$
7280.2.a.bb	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$-1$	$2$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}+q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots$
7280.2.a.bf	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$1$	$-2$	$2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-q^{5}+q^{7}+(-2+\beta )q^{9}+2\beta q^{11}+\cdots$
7280.2.a.bg	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$1$	$-2$	$2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-q^{5}+q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots$
7280.2.a.bi	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$1$	$2$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}+q^{7}+(-2+\beta )q^{9}-q^{13}+\cdots$
7280.2.a.bj	$7280$	$2$	7280.a	1.a	$1$	$2$	$2$	$58.131$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$0$	$3$	$-2$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}-q^{5}-q^{7}+(1+3\beta )q^{9}+\cdots$
7280.2.a.bl	$7280$	$2$	7280.a	1.a	$1$	$3$	$3$	$58.131$	3.3.229.1	None	✓	$1$	$1$	$0$	$-1$	$3$	$-3$	$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+q^{5}-q^{7}+(1-\beta _{1})q^{9}+(-2+\cdots)q^{11}+\cdots$
7280.2.a.bm	$7280$	$2$	7280.a	1.a	$1$	$3$	$3$	$58.131$	3.3.1573.1	None	✓	$1$	$1$	$0$	$-1$	$3$	$3$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+q^{5}+q^{7}+(2+\beta _{1}+\beta _{2})q^{9}+\cdots$
7280.2.a.bn	$7280$	$2$	7280.a	1.a	$1$	$3$	$3$	$58.131$	3.3.1101.1	None	✓	$1$	$1$	$0$	$1$	$-3$	$-3$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-q^{5}-q^{7}+(4-\beta _{1}+\beta _{2})q^{9}+\cdots$
7280.2.a.bp	$7280$	$2$	7280.a	1.a	$1$	$3$	$3$	$58.131$	3.3.229.1	None	✓	$1$	$1$	$0$	$2$	$-3$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{3}-q^{5}+q^{7}+(1+\beta _{1})q^{9}+\cdots$
7280.2.a.br	$7280$	$2$	7280.a	1.a	$1$	$4$	$4$	$58.131$	4.4.4913.1	None	✓	$1$	$1$	$0$	$-3$	$-4$	$4$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}-q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
7280.2.a.bu	$7280$	$2$	7280.a	1.a	$1$	$4$	$4$	$58.131$	4.4.50908.1	None	✓	$1$	$1$	$0$	$-1$	$4$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{3}+q^{5}-q^{7}+(2-\beta _{1}+\beta _{3})q^{9}+\cdots$
7280.2.a.cc	$7280$	$2$	7280.a	1.a	$1$	$5$	$5$	$58.131$	5.5.1194649.1	None	✓	$1$	$1$	$0$	$0$	$-5$	$-5$	$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-q^{5}-q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots$
7280.2.a.cf	$7280$	$2$	7280.a	1.a	$1$	$7$	$7$	$58.131$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$1$	$0$	$-4$	$7$	$-7$	$+$	$-$	$+$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+q^{5}-q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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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.