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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6600.2.a.a	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$2$	$0$	$-1$	$0$	$-4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}+q^{9}-q^{11}-6q^{13}+\cdots$
6600.2.a.d	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}+q^{11}-4q^{17}+\cdots$
6600.2.a.e	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}+q^{11}+2q^{17}+\cdots$
6600.2.a.f	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots$
6600.2.a.h	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}+q^{11}-q^{13}-2q^{17}+\cdots$
6600.2.a.i	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}+q^{11}+4q^{13}+3q^{17}+\cdots$
6600.2.a.j	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}-q^{11}-4q^{17}+\cdots$
6600.2.a.k	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}-q^{11}+6q^{17}+\cdots$
6600.2.a.p	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}+q^{11}+6q^{13}+\cdots$
6600.2.a.q	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$
6600.2.a.s	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{7}+q^{9}+q^{11}+3q^{17}+\cdots$
6600.2.a.t	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}+q^{9}-q^{11}-q^{13}+4q^{17}+\cdots$
6600.2.a.x	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-q^{11}+2q^{13}+6q^{17}+\cdots$
6600.2.a.y	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+q^{11}-2q^{13}-6q^{17}+\cdots$
6600.2.a.z	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+q^{11}+6q^{13}+6q^{17}+\cdots$
6600.2.a.bb	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$
6600.2.a.bd	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$3$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$
6600.2.a.be	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{7}+q^{9}-q^{11}+5q^{13}+\cdots$
6600.2.a.bf	$6600$	$2$	6600.a	1.a	$1$	$1$	$1$	$52.701$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$
6600.2.a.bi	$6600$	$2$	6600.a	1.a	$1$	$2$	$2$	$52.701$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{7}+q^{9}+q^{11}-2\beta q^{13}+\cdots$
6600.2.a.bl	$6600$	$2$	6600.a	1.a	$1$	$2$	$2$	$52.701$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$2$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(1+\beta )q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots$
6600.2.a.bm	$6600$	$2$	6600.a	1.a	$1$	$2$	$2$	$52.701$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$5$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(3-\beta )q^{7}+q^{9}+q^{11}+(1+2\beta )q^{13}+\cdots$
6600.2.a.bo	$6600$	$2$	6600.a	1.a	$1$	$3$	$3$	$52.701$	3.3.1304.1	None	✓	$1$	$0$	$0$	$-3$	$0$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta _{2}q^{7}+q^{9}-q^{11}+(1+\beta _{1}+\cdots)q^{13}+\cdots$
6600.2.a.bs	$6600$	$2$	6600.a	1.a	$1$	$3$	$3$	$52.701$	3.3.9192.1	None	✓	$1$	$0$	$0$	$3$	$0$	$-4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta _{1})q^{7}+q^{9}-q^{11}+\cdots$
6600.2.a.bw	$6600$	$2$	6600.a	1.a	$1$	$3$	$3$	$52.701$	3.3.2024.1	None	✓	$1$	$0$	$0$	$3$	$0$	$4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(1+\beta _{1})q^{7}+q^{9}+q^{11}+\beta _{2}q^{13}+\cdots$
6600.2.a.bx	$6600$	$2$	6600.a	1.a	$1$	$5$	$5$	$52.701$	5.5.2389280.1	None	✓	$1$	$0$	$0$	$-5$	$0$	$-2$	$+$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}-\beta _{1}q^{7}+q^{9}-q^{11}+(-\beta _{3}+\cdots)q^{13}+\cdots$
6600.2.a.by	$6600$	$2$	6600.a	1.a	$1$	$5$	$5$	$52.701$	5.5.1633440.1	None	✓	$1$	$0$	$0$	$-5$	$0$	$-2$	$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}+\beta _{2}q^{7}+q^{9}+q^{11}+(-2-\beta _{1}+\cdots)q^{13}+\cdots$
6600.2.a.bz	$6600$	$2$	6600.a	1.a	$1$	$5$	$5$	$52.701$	5.5.2389280.1	None	✓	$1$	$0$	$0$	$5$	$0$	$2$	$-$	$-$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+\beta _{1}q^{7}+q^{9}-q^{11}+(\beta _{3}+\beta _{4})q^{13}+\cdots$
6600.2.a.ca	$6600$	$2$	6600.a	1.a	$1$	$5$	$5$	$52.701$	5.5.1633440.1	None	✓	$1$	$0$	$0$	$5$	$0$	$2$	$+$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}-\beta _{2}q^{7}+q^{9}+q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$

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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.