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 (19 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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4200.2.a.a	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots$
4200.2.a.b	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-q^{11}+4q^{13}+2q^{17}+\cdots$
4200.2.a.c	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}-2q^{13}-2q^{17}+\cdots$
4200.2.a.f	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots$
4200.2.a.h	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots$
4200.2.a.i	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots$
4200.2.a.j	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$
4200.2.a.k	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$
4200.2.a.m	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}+3q^{11}+2q^{17}+\cdots$
4200.2.a.r	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots$
4200.2.a.t	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots$
4200.2.a.u	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots$
4200.2.a.y	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}+3q^{11}-2q^{17}+\cdots$
4200.2.a.bb	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
4200.2.a.bc	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots$
4200.2.a.bd	$4200$	$2$	4200.a	1.a	$1$	$1$	$1$	$33.537$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-q^{11}-4q^{13}-2q^{17}+\cdots$
4200.2.a.bk	$4200$	$2$	4200.a	1.a	$1$	$2$	$2$	$33.537$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$+$	$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}-2q^{11}+\beta q^{13}+\cdots$
4200.2.a.bo	$4200$	$2$	4200.a	1.a	$1$	$3$	$3$	$33.537$	3.3.148.1	None	✓	$1$	$1$	$0$	$-3$	$0$	$-3$	$-$	$+$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots$
4200.2.a.bp	$4200$	$2$	4200.a	1.a	$1$	$3$	$3$	$33.537$	3.3.148.1	None	✓	$1$	$1$	$0$	$3$	$0$	$3$	$-$	$-$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}+(-1-\beta _{1}+\beta _{2})q^{11}+\cdots$

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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.