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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 (25 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	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3920.2.a.a	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-3$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-q^{5}+6q^{9}-q^{11}+3q^{13}+\cdots$
3920.2.a.e	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+q^{9}-3q^{11}+q^{13}+\cdots$
3920.2.a.f	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots$
3920.2.a.i	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+q^{9}+q^{11}+3q^{13}+\cdots$
3920.2.a.m	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots$
3920.2.a.n	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{9}+q^{11}-5q^{13}+\cdots$
3920.2.a.q	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{9}+2q^{11}-4q^{13}+\cdots$
3920.2.a.r	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots$
3920.2.a.u	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots$
3920.2.a.v	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-2q^{9}+2q^{11}+4q^{13}+\cdots$
3920.2.a.x	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots$
3920.2.a.y	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots$
3920.2.a.bb	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{9}+5q^{11}-7q^{13}+\cdots$
3920.2.a.bf	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{9}+q^{11}-3q^{13}+\cdots$
3920.2.a.bg	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$
3920.2.a.bh	$3920$	$2$	3920.a	1.a	$1$	$1$	$1$	$31.301$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}+q^{9}-3q^{11}-q^{13}+\cdots$
3920.2.a.bm	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-4$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-2+\beta )q^{3}+q^{5}+(3-4\beta )q^{9}+(-2+\cdots)q^{11}+\cdots$
3920.2.a.bn	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$-2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}-q^{5}-2\beta q^{9}+q^{11}+\cdots$
3920.2.a.bq	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}+(-2+\cdots)q^{11}+\cdots$
3920.2.a.br	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}+(3-2\beta )q^{11}+\cdots$
3920.2.a.bs	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$-1$	$-2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}-q^{5}+(1+\beta )q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots$
3920.2.a.bt	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$-1$	$2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}+(5+\beta )q^{9}+(-4+\beta )q^{11}+\cdots$
3920.2.a.bv	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$-2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}-q^{5}+2\beta q^{9}+(-2-2\beta )q^{11}+\cdots$
3920.2.a.bx	$3920$	$2$	3920.a	1.a	$1$	$2$	$2$	$31.301$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+(1-2\beta )q^{11}+\cdots$
3920.2.a.ce	$3920$	$2$	3920.a	1.a	$1$	$4$	$4$	$31.301$	4.4.16448.2	None	✓	$1$	$1$	$0$	$2$	$-4$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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.