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 (42 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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6336.2.a.a	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-4$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-2q^{7}-q^{11}-4q^{13}-2q^{17}+\cdots$
6336.2.a.h	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-2q^{7}-q^{11}+6q^{17}-4q^{19}+\cdots$
6336.2.a.i	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-2q^{7}+q^{11}+4q^{13}-6q^{17}+\cdots$
6336.2.a.j	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+2q^{7}-q^{11}+4q^{13}-6q^{17}+\cdots$
6336.2.a.k	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+2q^{7}+q^{11}+6q^{17}+4q^{19}+\cdots$
6336.2.a.l	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+4q^{7}-q^{11}+2q^{13}+8q^{17}+\cdots$
6336.2.a.m	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-2$	$-4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots$
6336.2.a.o	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-2$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}+q^{11}-6q^{13}-6q^{17}+\cdots$
6336.2.a.p	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-2q^{7}+q^{11}+2q^{13}+2q^{19}+\cdots$
6336.2.a.q	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{11}-2q^{17}-6q^{19}+6q^{23}+\cdots$
6336.2.a.r	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots$
6336.2.a.v	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+4q^{7}-q^{11}-6q^{13}-6q^{17}+\cdots$
6336.2.a.y	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-q^{11}-4q^{13}+2q^{17}+2q^{23}+\cdots$
6336.2.a.z	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots$
6336.2.a.be	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+q^{11}+2q^{13}-2q^{17}-6q^{19}+\cdots$
6336.2.a.bf	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+q^{11}+4q^{13}+6q^{17}-4q^{19}+\cdots$
6336.2.a.bg	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+q^{11}+6q^{13}+6q^{17}+2q^{19}+\cdots$
6336.2.a.bj	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-q^{11}+4q^{13}+6q^{17}+4q^{19}+\cdots$
6336.2.a.bk	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-q^{11}+6q^{13}+6q^{17}-2q^{19}+\cdots$
6336.2.a.bm	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+q^{11}-2q^{13}-6q^{17}-2q^{19}+\cdots$
6336.2.a.bo	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+q^{11}+2q^{13}+2q^{17}+6q^{19}+\cdots$
6336.2.a.bt	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{11}+6q^{13}+4q^{17}+6q^{19}+\cdots$
6336.2.a.bv	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{7}+q^{11}+2q^{13}+2q^{19}+\cdots$
6336.2.a.bw	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-4q^{7}-q^{11}+6q^{13}-2q^{17}+\cdots$
6336.2.a.bz	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-2q^{7}+q^{11}-6q^{13}+4q^{17}+\cdots$
6336.2.a.cc	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{11}+2q^{17}+6q^{19}+6q^{23}+\cdots$
6336.2.a.cf	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+2q^{7}-q^{11}-6q^{13}+4q^{17}+\cdots$
6336.2.a.ch	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+4q^{7}-q^{11}-4q^{13}+6q^{17}+\cdots$
6336.2.a.ci	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+4q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots$
6336.2.a.cj	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+4q^{7}+q^{11}+6q^{13}-2q^{17}+\cdots$
6336.2.a.ck	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-2q^{7}-q^{11}+6q^{17}-4q^{19}+\cdots$
6336.2.a.cl	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-2q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots$
6336.2.a.cm	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+2q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots$
6336.2.a.cn	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+2q^{7}+q^{11}+6q^{17}+4q^{19}+\cdots$
6336.2.a.co	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(-2-\beta )q^{7}-q^{11}+(-2+\cdots)q^{13}+\cdots$
6336.2.a.cr	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(2+\beta )q^{7}+q^{11}+(-2+\beta )q^{13}+\cdots$
6336.2.a.cs	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(-1+\beta )q^{7}+q^{11}+(-3+\cdots)q^{13}+\cdots$
6336.2.a.cu	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(-2+2\beta )q^{7}-q^{11}+\cdots$
6336.2.a.cv	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{11}-2q^{13}+(-4+2\beta )q^{17}+\cdots$
6336.2.a.cx	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$3$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+(2-2\beta )q^{7}+q^{11}+2\beta q^{13}+\cdots$
6336.2.a.cz	$6336$	$2$	6336.a	1.a	$1$	$3$	$3$	$50.593$	3.3.229.1	None	✓	$1$	$0$	$0$	$0$	$0$	$4$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{11}+\beta _{1}q^{13}+\cdots$
6336.2.a.db	$6336$	$2$	6336.a	1.a	$1$	$4$	$4$	$50.593$	$\Q(\zeta_{24})^+$	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{11}+(-2+\beta _{2}+\cdots)q^{13}+\cdots$

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Elliptic curves over $\Q$
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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.