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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 (26 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
440.1.o.a	$440$	$1$	440.o	440.o	$2$	$1$	$1$	$0.220$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$-1$	$-1$	$1$	$1$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
440.1.o.b	$440$	$1$	440.o	440.o	$2$	$1$	$1$	$0.220$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$-1$	$1$	$-1$	$1$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
440.1.o.c	$440$	$1$	440.o	440.o	$2$	$1$	$1$	$0.220$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$1$	$-1$	$1$	$-1$	$1$		$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
440.1.o.d	$440$	$1$	440.o	440.o	$2$	$1$	$1$	$0.220$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$1$	$1$	$-1$	$-1$	$1$		$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
1760.1.o.a	$1760$	$1$	1760.o	440.o	$2$	$1$	$1$	$0.878$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$0$	$-1$	$-1$	$-1$	$1$		$q-q^{3}-q^{5}-q^{7}-q^{11}+q^{15}+q^{17}+\cdots$
1760.1.o.b	$1760$	$1$	1760.o	440.o	$2$	$1$	$1$	$0.878$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$0$	$-1$	$-1$	$1$	$1$		$q-q^{3}-q^{5}+q^{7}+q^{11}+q^{15}-q^{17}+\cdots$
1760.1.o.c	$1760$	$1$	1760.o	440.o	$2$	$1$	$1$	$0.878$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$0$	$1$	$1$	$-1$	$1$		$q+q^{3}+q^{5}-q^{7}+q^{11}+q^{15}+q^{17}+\cdots$
1760.1.o.d	$1760$	$1$	1760.o	440.o	$2$	$1$	$1$	$0.878$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$0$	$1$	$1$	$1$	$1$		$q+q^{3}+q^{5}+q^{7}-q^{11}+q^{15}-q^{17}+\cdots$
2200.1.d.e	$2200$	$1$	2200.d	88.b	$2$	$2$	$2$	$1.098$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots$
2200.1.d.f	$2200$	$1$	2200.d	88.b	$2$	$2$	$2$	$1.098$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{7}-iq^{8}+\cdots$
3080.1.bz.a	$3080$	$1$	3080.bz	3080.az	$6$	$6$	$3$	$1.537$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$-3$	$0$	$-3$	$0$	$1$		$q-\zeta_{18}^{3}q^{2}+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{3}+\zeta_{18}^{6}q^{4}+\cdots$
3080.1.bz.b	$3080$	$1$	3080.bz	3080.az	$6$	$6$	$3$	$1.537$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$-3$	$0$	$3$	$0$	$1$		$q-\zeta_{18}^{3}q^{2}+(\zeta_{18}-\zeta_{18}^{2})q^{3}+\zeta_{18}^{6}q^{4}+\cdots$
3080.1.bz.c	$3080$	$1$	3080.bz	3080.az	$6$	$6$	$3$	$1.537$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$3$	$0$	$-3$	$0$	$1$		$q+\zeta_{18}^{3}q^{2}+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{3}+\zeta_{18}^{6}q^{4}+\cdots$
3080.1.bz.d	$3080$	$1$	3080.bz	3080.az	$6$	$6$	$3$	$1.537$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$3$	$0$	$3$	$0$	$1$		$q+\zeta_{18}^{3}q^{2}+(\zeta_{18}-\zeta_{18}^{2})q^{3}+\zeta_{18}^{6}q^{4}+\cdots$
3960.1.x.a	$3960$	$1$	3960.x	440.o	$2$	$1$	$1$	$1.976$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$-1$	$0$	$-1$	$-1$	$1$		$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
3960.1.x.b	$3960$	$1$	3960.x	440.o	$2$	$1$	$1$	$1.976$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$-1$	$0$	$1$	$-1$	$1$		$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
3960.1.x.c	$3960$	$1$	3960.x	440.o	$2$	$1$	$1$	$1.976$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$1$	$0$	$-1$	$1$	$1$		$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
3960.1.x.d	$3960$	$1$	3960.x	440.o	$2$	$1$	$1$	$1.976$	$\Q$	$D_{3}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$1$	$0$	$1$	$1$	$1$		$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
3960.1.cm.a	$3960$	$1$	3960.cm	3960.bm	$6$	$6$	$3$	$1.976$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$-3$	$0$	$-3$	$0$	$1$		$q+\zeta_{18}^{6}q^{2}+\zeta_{18}^{8}q^{3}-\zeta_{18}^{3}q^{4}+\cdots$
3960.1.cm.b	$3960$	$1$	3960.cm	3960.bm	$6$	$6$	$3$	$1.976$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$-3$	$0$	$3$	$0$	$1$		$q+\zeta_{18}^{6}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}^{3}q^{4}+\cdots$
3960.1.cm.c	$3960$	$1$	3960.cm	3960.bm	$6$	$6$	$3$	$1.976$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$3$	$0$	$-3$	$0$	$1$		$q-\zeta_{18}^{6}q^{2}+\zeta_{18}^{8}q^{3}-\zeta_{18}^{3}q^{4}+\cdots$
3960.1.cm.d	$3960$	$1$	3960.cm	3960.bm	$6$	$6$	$3$	$1.976$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-110}) $	None		$4$	$0$	$3$	$0$	$3$	$0$	$1$		$q-\zeta_{18}^{6}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}^{3}q^{4}+\cdots$
440.3.o.a	$440$	$3$	440.o	440.o	$2$	$3$	$3$	$11.989$	3.3.11880.1	$_{}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$-6$	$0$	$-15$	$0$	$2$	$\mathrm{U}(1)[D_{2}]$	$q-2q^{2}+\beta _{1}q^{3}+4q^{4}-5q^{5}-2\beta _{1}q^{6}+\cdots$
440.3.o.b	$440$	$3$	440.o	440.o	$2$	$3$	$3$	$11.989$	3.3.11880.1	$_{}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$-6$	$0$	$15$	$0$	$2$	$\mathrm{U}(1)[D_{2}]$	$q-2q^{2}-\beta _{1}q^{3}+4q^{4}+5q^{5}+2\beta _{1}q^{6}+\cdots$
440.3.o.c	$440$	$3$	440.o	440.o	$2$	$3$	$3$	$11.989$	3.3.11880.1	$_{}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$6$	$0$	$-15$	$0$	$2$	$\mathrm{U}(1)[D_{2}]$	$q+2q^{2}+\beta _{1}q^{3}+4q^{4}-5q^{5}+2\beta _{1}q^{6}+\cdots$
440.3.o.d	$440$	$3$	440.o	440.o	$2$	$3$	$3$	$11.989$	3.3.11880.1	$_{}$	$\Q(\sqrt{-110}) $	None	✓	$2$	$0$	$6$	$0$	$15$	$0$	$2$	$\mathrm{U}(1)[D_{2}]$	$q+2q^{2}-\beta _{1}q^{3}+4q^{4}+5q^{5}-2\beta _{1}q^{6}+\cdots$

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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.