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 (29 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	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7800.2.a.a	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}-q^{13}-2q^{17}+\cdots$
7800.2.a.b	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}+3q^{11}+q^{13}+7q^{17}+\cdots$
7800.2.a.c	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-4q^{11}+q^{13}+8q^{17}+\cdots$
7800.2.a.g	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}-5q^{11}-q^{13}-3q^{17}+\cdots$
7800.2.a.h	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}-q^{13}+4q^{17}+\cdots$
7800.2.a.j	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}-2q^{11}+q^{13}+\cdots$
7800.2.a.k	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$
7800.2.a.l	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$5$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+5q^{7}+q^{9}+5q^{11}-q^{13}+\cdots$
7800.2.a.o	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$
7800.2.a.p	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}+q^{9}+4q^{11}+q^{13}+\cdots$
7800.2.a.q	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-4q^{11}-q^{13}-8q^{17}+\cdots$
7800.2.a.r	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-4q^{11}-q^{13}-2q^{17}+\cdots$
7800.2.a.t	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-q^{13}+6q^{17}+4q^{19}+\cdots$
7800.2.a.w	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}-2q^{11}+q^{13}+\cdots$
7800.2.a.x	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$5$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+5q^{7}+q^{9}+q^{11}-q^{13}+3q^{17}+\cdots$
7800.2.a.bb	$7800$	$2$	7800.a	1.a	$1$	$2$	$2$	$62.283$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-\beta q^{7}+q^{9}-\beta q^{11}+q^{13}+\cdots$
7800.2.a.bh	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.3732.1	None	✓	$1$	$0$	$0$	$-3$	$0$	$-1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-\beta _{2}q^{7}+q^{9}+(2-\beta _{1})q^{11}+\cdots$
7800.2.a.bi	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.940.1	None	✓	$1$	$0$	$0$	$-3$	$0$	$-1$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}-\beta _{2}q^{7}+q^{9}+(2+\beta _{1})q^{11}+\cdots$
7800.2.a.bj	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.568.1	None	✓	$1$	$0$	$0$	$-3$	$0$	$0$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+(-2-\beta _{1})q^{11}-q^{13}+\cdots$
7800.2.a.bk	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.2700.1	None	✓	$1$	$0$	$0$	$-3$	$0$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta _{1}q^{7}+q^{9}-\beta _{1}q^{11}-q^{13}+\cdots$
7800.2.a.bm	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.568.1	None	✓	$1$	$0$	$0$	$-3$	$0$	$2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1-\beta _{1})q^{7}+q^{9}+(1+\beta _{1}+2\beta _{2})q^{11}+\cdots$
7800.2.a.bn	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.568.1	None	✓	$1$	$0$	$0$	$3$	$0$	$-2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta _{1})q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots$
7800.2.a.bq	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.2700.1	None	✓	$1$	$0$	$0$	$3$	$0$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-\beta _{1}q^{7}+q^{9}-\beta _{1}q^{11}+q^{13}+\cdots$
7800.2.a.bs	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.3732.1	None	✓	$1$	$0$	$0$	$3$	$0$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta _{2}q^{7}+q^{9}+(2-\beta _{1})q^{11}+\cdots$
7800.2.a.bu	$7800$	$2$	7800.a	1.a	$1$	$4$	$4$	$62.283$	4.4.461844.1	None	✓	$1$	$0$	$0$	$-4$	$0$	$-3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta _{1})q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots$
7800.2.a.bv	$7800$	$2$	7800.a	1.a	$1$	$4$	$4$	$62.283$	4.4.10304.1	None	✓	$1$	$0$	$0$	$-4$	$0$	$0$	$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}-\beta _{3}q^{7}+q^{9}+(-2-\beta _{1})q^{11}+\cdots$
7800.2.a.bx	$7800$	$2$	7800.a	1.a	$1$	$4$	$4$	$62.283$	4.4.461844.1	None	✓	$1$	$0$	$0$	$4$	$0$	$3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(1-\beta _{1})q^{7}+q^{9}+(1+\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$
7800.2.a.by	$7800$	$2$	7800.a	1.a	$1$	$4$	$4$	$62.283$	4.4.30056.1	None	✓	$1$	$0$	$0$	$4$	$0$	$7$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(2+\beta _{1})q^{7}+q^{9}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$
7800.2.a.ca	$7800$	$2$	7800.a	1.a	$1$	$5$	$5$	$62.283$	5.5.504568.1	None	✓	$1$	$0$	$0$	$5$	$0$	$1$	$+$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+\beta _{1}q^{7}+q^{9}+(1-\beta _{3})q^{11}+\cdots$

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