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 (27 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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6480.2.a.a	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-5$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-5q^{7}-q^{13}-6q^{17}-5q^{19}+\cdots$
6480.2.a.b	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}-3q^{11}-4q^{13}+6q^{17}+\cdots$
6480.2.a.c	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+3q^{11}-4q^{13}-6q^{17}+\cdots$
6480.2.a.f	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+5q^{11}+4q^{13}+4q^{17}+5q^{19}+\cdots$
6480.2.a.g	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-6q^{11}+2q^{13}+4q^{19}+\cdots$
6480.2.a.i	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}+5q^{13}+6q^{17}-5q^{19}+\cdots$
6480.2.a.k	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+3q^{7}+2q^{11}-2q^{13}+4q^{17}+\cdots$
6480.2.a.m	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}+3q^{11}-4q^{13}-5q^{19}+\cdots$
6480.2.a.s	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{11}+7q^{19}+6q^{23}+q^{25}+\cdots$
6480.2.a.v	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}+6q^{11}+2q^{13}+4q^{19}+\cdots$
6480.2.a.w	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+3q^{11}+2q^{17}-q^{19}+\cdots$
6480.2.a.x	$6480$	$2$	6480.a	1.a	$1$	$1$	$1$	$51.743$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$3$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+3q^{7}-2q^{11}-2q^{13}-4q^{17}+\cdots$
6480.2.a.be	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-\beta q^{7}+(1+\beta )q^{11}-2\beta q^{13}+\cdots$
6480.2.a.bg	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(1+\beta )q^{7}+(-2+\beta )q^{11}+(-2+\cdots)q^{13}+\cdots$
6480.2.a.bj	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+(-2+\beta )q^{7}-2\beta q^{11}+(2-\beta )q^{13}+\cdots$
6480.2.a.bm	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-\beta q^{7}+(-3+\beta )q^{11}+(2+\beta )q^{13}+\cdots$
6480.2.a.bn	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-\beta q^{7}+(-1-\beta )q^{11}-2\beta q^{13}+\cdots$
6480.2.a.bo	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-\beta q^{7}+(1-\beta )q^{11}-\beta q^{13}+\cdots$
6480.2.a.bp	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+(1+\beta )q^{7}+\beta q^{11}+(2+2\beta )q^{13}+\cdots$
6480.2.a.br	$6480$	$2$	6480.a	1.a	$1$	$2$	$2$	$51.743$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$6$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+(3+\beta )q^{7}+(4+\beta )q^{11}+(-2+\cdots)q^{13}+\cdots$
6480.2.a.bt	$6480$	$2$	6480.a	1.a	$1$	$3$	$3$	$51.743$	3.3.564.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$-3$	$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	$q-q^{5}+(-1+\beta _{1})q^{7}+\beta _{2}q^{11}+(2+\cdots)q^{13}+\cdots$
6480.2.a.bu	$6480$	$2$	6480.a	1.a	$1$	$3$	$3$	$51.743$	3.3.564.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$5$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+(-1-\beta _{2})q^{11}+\cdots$
6480.2.a.bw	$6480$	$2$	6480.a	1.a	$1$	$3$	$3$	$51.743$	3.3.564.1	None	✓	$1$	$0$	$0$	$0$	$3$	$-3$	$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	$q+q^{5}+(-1+\beta _{1})q^{7}-\beta _{2}q^{11}+(2+\cdots)q^{13}+\cdots$
6480.2.a.bx	$6480$	$2$	6480.a	1.a	$1$	$3$	$3$	$51.743$	3.3.564.1	None	✓	$1$	$0$	$0$	$0$	$3$	$5$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+(1+\beta _{2})q^{11}+\cdots$
6480.2.a.by	$6480$	$2$	6480.a	1.a	$1$	$4$	$4$	$51.743$	4.4.62352.1	None	✓	$1$	$0$	$0$	$0$	$-4$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(2-\beta _{1}+\beta _{3})q^{11}+\cdots$
6480.2.a.bz	$6480$	$2$	6480.a	1.a	$1$	$4$	$4$	$51.743$	4.4.29268.1	None	✓	$1$	$0$	$0$	$0$	$-4$	$1$	$+$	$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	$q-q^{5}+\beta _{2}q^{7}+(-\beta _{2}-\beta _{3})q^{11}+(1+\cdots)q^{13}+\cdots$
6480.2.a.cb	$6480$	$2$	6480.a	1.a	$1$	$4$	$4$	$51.743$	4.4.29268.1	None	✓	$1$	$0$	$0$	$0$	$4$	$1$	$+$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	$q+q^{5}+\beta _{2}q^{7}+(\beta _{2}+\beta _{3})q^{11}+(1+\beta _{1}+\cdots)q^{13}+\cdots$

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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.