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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
6240.2.a.a	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$
6240.2.a.d	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-q^{13}+q^{15}+2q^{17}+\cdots$
6240.2.a.i	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots$
6240.2.a.k	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+3q^{11}-q^{13}+\cdots$
6240.2.a.m	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}-q^{13}+\cdots$
6240.2.a.n	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}+q^{13}+\cdots$
6240.2.a.o	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}-3q^{11}+q^{13}+\cdots$
6240.2.a.q	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$-5$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-5q^{7}+q^{9}-q^{11}+q^{13}+\cdots$
6240.2.a.r	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-3q^{11}-q^{13}+\cdots$
6240.2.a.t	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots$
6240.2.a.u	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-q^{13}-q^{15}+2q^{17}+\cdots$
6240.2.a.v	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+4q^{11}+q^{13}-q^{15}+\cdots$
6240.2.a.w	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+2q^{7}+q^{9}-q^{13}-q^{15}+\cdots$
6240.2.a.y	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-4q^{7}+q^{9}+q^{13}+q^{15}+\cdots$
6240.2.a.z	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-3$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-3q^{7}+q^{9}+3q^{11}+q^{13}+\cdots$
6240.2.a.bb	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{7}+q^{9}-2q^{11}-q^{13}+\cdots$
6240.2.a.bc	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{7}+q^{9}-q^{13}+q^{15}+\cdots$
6240.2.a.bd	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}-3q^{11}-q^{13}+\cdots$
6240.2.a.bf	$6240$	$2$	6240.a	1.a	$1$	$1$	$1$	$49.827$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots$
6240.2.a.bg	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{57}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$
6240.2.a.bh	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$0$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+\beta q^{7}+q^{9}+\beta q^{11}+q^{13}+\cdots$
6240.2.a.bi	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+\beta q^{7}+q^{9}+\beta q^{11}+q^{13}+\cdots$
6240.2.a.bj	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots$
6240.2.a.bk	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$3$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(1+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
6240.2.a.bn	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$2$	$0$	$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+\beta q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$
6240.2.a.bo	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$2$	$-2$	$-3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+(-1-\beta )q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$
6240.2.a.bq	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$2$	$-2$	$-1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-\beta q^{7}+q^{9}-\beta q^{11}+q^{13}+\cdots$
6240.2.a.bu	$6240$	$2$	6240.a	1.a	$1$	$2$	$2$	$49.827$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$2$	$2$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+\beta q^{7}+q^{9}+(-4-\beta )q^{11}+\cdots$
6240.2.a.by	$6240$	$2$	6240.a	1.a	$1$	$3$	$3$	$49.827$	3.3.568.1	None	✓	$1$	$1$	$0$	$-3$	$3$	$-5$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+(-2-\beta _{2})q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$

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Elliptic 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.