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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 (20 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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6400.2.a.a	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	$\Q$	$\Q(\sqrt{-2}) $	✓	$2$	$0$	$0$	$-2$	$0$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-2q^{3}+q^{9}+6q^{11}+6q^{17}+2q^{19}+\cdots$
6400.2.a.b	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	$\Q$	None	✓	$1$	$2$	$0$	$-1$	$0$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{7}-2q^{9}-3q^{11}-q^{17}+\cdots$
6400.2.a.e	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}-2q^{9}+5q^{11}+6q^{13}+\cdots$
6400.2.a.l	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-3q^{9}-4q^{13}+2q^{17}+4q^{29}+12q^{37}+\cdots$
6400.2.a.r	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}-2q^{9}-5q^{11}-6q^{13}+\cdots$
6400.2.a.w	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{7}-2q^{9}+3q^{11}-q^{17}+\cdots$
6400.2.a.be	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(1+\beta )q^{7}+(1-2\beta )q^{9}+\cdots$
6400.2.a.bk	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+3\beta q^{7}-q^{9}-2\beta q^{11}-6q^{13}+\cdots$
6400.2.a.bl	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-3\beta q^{7}-q^{9}-4\beta q^{11}-2q^{13}+\cdots$
6400.2.a.bp	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{2}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-3\beta q^{7}-q^{9}-2\beta q^{11}+6q^{13}+\cdots$
6400.2.a.bt	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{5}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{3}+2q^{9}+\beta q^{11}+4q^{13}+3q^{17}+\cdots$
6400.2.a.by	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{2}) $	$\Q(\sqrt{-2}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$2$	$N(\mathrm{U}(1))$	$q+\beta q^{3}+5q^{9}+\beta q^{11}-6q^{17}+3\beta q^{19}+\cdots$
6400.2.a.ca	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{10}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+\beta q^{7}+7q^{9}+6q^{13}+2q^{17}+\cdots$
6400.2.a.cb	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$8$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+4q^{7}+4q^{9}+\beta q^{11}-3q^{17}+\cdots$
6400.2.a.cd	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$-6$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(-3-\beta )q^{7}+(1+2\beta )q^{9}+\cdots$
6400.2.a.cg	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$2$	$0$	$0$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}-\beta q^{7}-2q^{9}+3q^{11}-\beta q^{13}+\cdots$
6400.2.a.ch	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{6}) $	$\Q(\sqrt{-2}) $	✓	$2$	$0$	$0$	$2$	$0$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q+(1+\beta )q^{3}+(4+2\beta )q^{9}+(-3-\beta )q^{11}+\cdots$
6400.2.a.cj	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(1-\beta )q^{7}+(1+2\beta )q^{9}+\cdots$
6400.2.a.ck	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$6$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(3+\beta )q^{7}+(1+2\beta )q^{9}+\cdots$
6400.2.a.cr	$6400$	$2$	6400.a	1.a	$1$	$4$	$4$	$51.104$	$\Q(\zeta_{24})^+$	$\Q(\sqrt{-2}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$2^{3}$	$N(\mathrm{U}(1))$	$q+\beta _{1}q^{3}+(2+\beta _{3})q^{9}+(2\beta _{1}+\beta _{2})q^{11}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.