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	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5520.2.a.c	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$-3$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-3q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$
5520.2.a.d	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-2q^{11}+q^{15}+6q^{17}+\cdots$
5520.2.a.e	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-2q^{13}+q^{15}-6q^{17}+\cdots$
5520.2.a.f	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots$
5520.2.a.h	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+3q^{7}+q^{9}+4q^{11}+q^{15}+\cdots$
5520.2.a.i	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots$
5520.2.a.l	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots$
5520.2.a.n	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$3$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}+4q^{11}-q^{15}+\cdots$
5520.2.a.o	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+4q^{7}+q^{9}+2q^{13}-q^{15}+\cdots$
5520.2.a.p	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$5$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+5q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots$
5520.2.a.q	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots$
5520.2.a.s	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-4q^{7}+q^{9}+6q^{11}-4q^{13}+\cdots$
5520.2.a.w	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-6q^{13}-q^{15}+2q^{17}+\cdots$
5520.2.a.x	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+6q^{13}-q^{15}+2q^{17}+\cdots$
5520.2.a.y	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots$
5520.2.a.ba	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$5$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+5q^{7}+q^{9}+4q^{13}-q^{15}+\cdots$
5520.2.a.bf	$5520$	$2$	5520.a	1.a	$1$	$1$	$1$	$44.077$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$
5520.2.a.bh	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+\beta q^{7}+q^{9}+2\beta q^{11}+\cdots$
5520.2.a.bj	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{15}) $	None	✓	$1$	$0$	$0$	$-2$	$2$	$-6$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-3q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots$
5520.2.a.bm	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$-2$	$2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+(1+2\beta )q^{7}+q^{9}+(4+\beta )q^{11}+\cdots$
5520.2.a.bo	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{11}) $	None	✓	$1$	$0$	$0$	$2$	$-2$	$6$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+3q^{7}+q^{9}+(1+\beta )q^{11}+\cdots$
5520.2.a.br	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$-1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-\beta q^{7}+q^{9}-2\beta q^{11}+\cdots$
5520.2.a.bs	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$2$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+(1+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
5520.2.a.bt	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+(1+2\beta )q^{7}+q^{9}-\beta q^{11}+\cdots$
5520.2.a.bu	$5520$	$2$	5520.a	1.a	$1$	$2$	$2$	$44.077$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$6$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+3q^{7}+q^{9}+(1+\beta )q^{11}+\cdots$
5520.2.a.bv	$5520$	$2$	5520.a	1.a	$1$	$3$	$3$	$44.077$	3.3.3144.1	None	✓	$1$	$0$	$0$	$-3$	$-3$	$-2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(-1+\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
5520.2.a.ca	$5520$	$2$	5520.a	1.a	$1$	$3$	$3$	$44.077$	3.3.229.1	None	✓	$1$	$0$	$0$	$-3$	$3$	$-1$	$+$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}+(1-\beta _{2})q^{13}+\cdots$
5520.2.a.cb	$5520$	$2$	5520.a	1.a	$1$	$4$	$4$	$44.077$	4.4.54764.1	None	✓	$1$	$0$	$0$	$4$	$-4$	$0$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+\beta _{3}q^{11}+\cdots$
5520.2.a.cc	$5520$	$2$	5520.a	1.a	$1$	$5$	$5$	$44.077$	5.5.20087896.1	None	✓	$1$	$0$	$0$	$5$	$5$	$4$	$+$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+(1-\beta _{1})q^{7}+q^{9}+(1-\beta _{2}+\cdots)q^{11}+\cdots$

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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.