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 (44 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.a	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$2$	$-1$	$-1$	$-3$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.b	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-3$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.c	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-2$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.f	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$2$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.g	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$4$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.h	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.i	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.j	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.k	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$
7098.2.a.l	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
7098.2.a.n	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.p	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$3$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+q^{7}+\cdots$
7098.2.a.q	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-4$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.u	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$2$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.v	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$3$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.x	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-3$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots$
7098.2.a.z	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.bb	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$0$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$
7098.2.a.bc	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$
7098.2.a.bd	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$2$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.be	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$2$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.bf	$7098$	$2$	7098.a	1.a	$1$	$1$	$1$	$56.678$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$2$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.bg	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-2$	$-2$	$-3$	$-2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots$
7098.2.a.bk	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{129}) $	None	✓	$1$	$0$	$-2$	$-2$	$4$	$2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.bm	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$-2$	$2$	$-1$	$-2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.bn	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$2$	$0$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+2\beta q^{5}-q^{6}+q^{7}+\cdots$
7098.2.a.bp	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$2$	$2$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$
7098.2.a.br	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{129}) $	None	✓	$1$	$0$	$2$	$-2$	$-4$	$-2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.bu	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$2$	$-2$	$1$	$-2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{7}+\cdots$
7098.2.a.bv	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$-2$	$3$	$2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$
7098.2.a.bx	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$2$	$-2$	$-2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(-1+\beta )q^{5}+q^{6}+\cdots$
7098.2.a.bz	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$2$	$0$	$-2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2\beta q^{5}+q^{6}-q^{7}+\cdots$
7098.2.a.ca	$7098$	$2$	7098.a	1.a	$1$	$2$	$2$	$56.678$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$2$	$2$	$1$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.cc	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$-3$	$-3$	$-2$	$3$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(-1-\beta _{2})q^{5}+q^{6}+\cdots$
7098.2.a.ce	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$-3$	$-3$	$4$	$-3$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1+\beta _{1})q^{5}+q^{6}+\cdots$
7098.2.a.cf	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$-3$	$3$	$2$	$3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1-\beta _{1})q^{5}-q^{6}+\cdots$
7098.2.a.cg	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$-3$	$3$	$8$	$-3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(3-\beta _{1})q^{5}-q^{6}+\cdots$
7098.2.a.ci	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$3$	$-3$	$0$	$-3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots$
7098.2.a.ck	$7098$	$2$	7098.a	1.a	$1$	$3$	$3$	$56.678$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$3$	$-3$	$3$	$-3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(1+\beta _{1}+\beta _{2})q^{5}+\cdots$
7098.2.a.cn	$7098$	$2$	7098.a	1.a	$1$	$4$	$4$	$56.678$	4.4.13968.1	None	✓	$1$	$0$	$-4$	$-4$	$-6$	$-4$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(-1-\beta _{3})q^{5}+q^{6}+\cdots$
7098.2.a.co	$7098$	$2$	7098.a	1.a	$1$	$4$	$4$	$56.678$	4.4.13968.1	None	✓	$1$	$0$	$4$	$-4$	$6$	$4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(1+\beta _{3})q^{5}-q^{6}+\cdots$
7098.2.a.cs	$7098$	$2$	7098.a	1.a	$1$	$6$	$6$	$56.678$	6.6.8569169.1	None	✓	$1$	$0$	$6$	$-6$	$-3$	$6$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-\beta _{1}+\beta _{5})q^{5}+\cdots$
7098.2.a.ct	$7098$	$2$	7098.a	1.a	$1$	$6$	$6$	$56.678$	6.6.48406561.1	None	✓	$1$	$0$	$6$	$6$	$3$	$6$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+q^{7}+\cdots$
7098.2.a.cu	$7098$	$2$	7098.a	1.a	$1$	$6$	$6$	$56.678$	6.6.6148961.1	None	✓	$1$	$0$	$6$	$6$	$9$	$-6$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(2-\beta _{5})q^{5}+q^{6}+\cdots$

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