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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 (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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	107	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8025.2.a.a	$8025$	$2$	8025.a	1.a	$1$	$1$	$1$	$64.080$	$\Q$	None	✓	$1$	$1$	$-2$	$-1$	$0$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+2q^{6}-4q^{7}+\cdots$
8025.2.a.d	$8025$	$2$	8025.a	1.a	$1$	$1$	$1$	$64.080$	$\Q$	None	✓	$1$	$1$	$-2$	$1$	$0$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}-2q^{6}-3q^{7}+\cdots$
8025.2.a.i	$8025$	$2$	8025.a	1.a	$1$	$1$	$1$	$64.080$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}+2q^{7}+q^{9}-3q^{11}+\cdots$
8025.2.a.k	$8025$	$2$	8025.a	1.a	$1$	$1$	$1$	$64.080$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$0$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-q^{6}-4q^{7}-3q^{8}+\cdots$
8025.2.a.o	$8025$	$2$	8025.a	1.a	$1$	$1$	$1$	$64.080$	$\Q$	None	✓	$1$	$1$	$2$	$1$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots$
8025.2.a.p	$8025$	$2$	8025.a	1.a	$1$	$1$	$1$	$64.080$	$\Q$	None	✓	$1$	$1$	$2$	$1$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots$
8025.2.a.r	$8025$	$2$	8025.a	1.a	$1$	$2$	$2$	$64.080$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$-2$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots$
8025.2.a.s	$8025$	$2$	8025.a	1.a	$1$	$2$	$2$	$64.080$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$2$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$
8025.2.a.u	$8025$	$2$	8025.a	1.a	$1$	$3$	$3$	$64.080$	3.3.169.1	None	✓	$1$	$1$	$-1$	$-3$	$0$	$-4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$
8025.2.a.x	$8025$	$2$	8025.a	1.a	$1$	$5$	$5$	$64.080$	5.5.240133.1	None	✓	$1$	$1$	$-2$	$5$	$0$	$-4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$
8025.2.a.y	$8025$	$2$	8025.a	1.a	$1$	$5$	$5$	$64.080$	5.5.81509.1	None	✓	$1$	$1$	$1$	$-5$	$0$	$3$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}-\beta _{1}q^{6}+(\beta _{2}+\cdots)q^{7}+\cdots$
8025.2.a.bc	$8025$	$2$	8025.a	1.a	$1$	$10$	$10$	$64.080$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$-2$	$10$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$
8025.2.a.bf	$8025$	$2$	8025.a	1.a	$1$	$12$	$12$	$64.080$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	$1$	$1$	$-3$	$-12$	$0$	$-7$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$
8025.2.a.bg	$8025$	$2$	8025.a	1.a	$1$	$13$	$13$	$64.080$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	None	✓	$1$	$1$	$-1$	$-13$	$0$	$-2$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$
8025.2.a.bi	$8025$	$2$	8025.a	1.a	$1$	$16$	$16$	$64.080$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	$1$	$1$	$-6$	$16$	$0$	$-10$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots$
8025.2.a.bk	$8025$	$2$	8025.a	1.a	$1$	$17$	$17$	$64.080$	$\mathbb{Q}[x]/(x^{17} - \cdots)$	None	✓	$1$	$1$	$-4$	$-17$	$0$	$-9$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$
8025.2.a.bm	$8025$	$2$	8025.a	1.a	$1$	$18$	$18$	$64.080$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	$1$	$1$	$-4$	$18$	$0$	$-12$	$-$	$-$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$
8025.2.a.bo	$8025$	$2$	8025.a	1.a	$1$	$22$	$22$	$64.080$		None	✓	$1$	$1$	$-3$	$22$	$0$	$-2$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
8025.2.a.bp	$8025$	$2$	8025.a	1.a	$1$	$22$	$22$	$64.080$		None	✓	$1$	$1$	$3$	$-22$	$0$	$2$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$

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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.