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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 (1-50 of 75 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				Fricke sign	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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3300.1.g.a	$3300$	$1$	3300.g	660.g	$2$	$2$	$2$	$1.647$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-33}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-iq^{2}-iq^{3}-q^{4}-q^{6}-iq^{7}+iq^{8}+\cdots$
3300.1.g.b	$3300$	$1$	3300.g	660.g	$2$	$2$	$2$	$1.647$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-33}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots$
3300.1.g.c	$3300$	$1$	3300.g	660.g	$2$	$2$	$2$	$1.647$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-33}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-iq^{2}+iq^{3}-q^{4}+q^{6}-iq^{7}+iq^{8}+\cdots$
3300.1.g.d	$3300$	$1$	3300.g	660.g	$2$	$2$	$2$	$1.647$	$\Q(\sqrt{-1}) $	$D_{3}$	$\Q(\sqrt{-33}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{7}-iq^{8}+\cdots$
3300.1.m.a	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$-1$		$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$
3300.1.m.b	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$1$		$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$
3300.1.m.c	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$-1$	$1$	$0$	$-1$		$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
3300.1.m.d	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$-1$	$1$	$0$	$1$		$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
3300.1.m.e	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$1$	$-1$	$0$	$-1$		$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$
3300.1.m.f	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$1$	$-1$	$0$	$1$		$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
3300.1.m.g	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$1$	$1$	$0$	$-1$		$1$		$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
3300.1.m.h	$3300$	$1$	3300.m	132.d	$2$	$1$	$1$	$1.647$	$\Q$	$D_{3}$	$\Q(\sqrt{-33}) $	None	✓	$2$	$0$	$1$	$1$	$0$	$1$		$1$		$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$
3300.1.v.a	$3300$	$1$	3300.v	165.l	$4$	$4$	$2$	$1.647$	$\Q(\zeta_{12})$	$D_{12}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$		$1$		$q-\zeta_{12}^{2}q^{3}+\zeta_{12}^{4}q^{9}-\zeta_{12}^{3}q^{11}+\cdots$
3300.1.v.b	$3300$	$1$	3300.v	165.l	$4$	$4$	$2$	$1.647$	$\Q(\zeta_{12})$	$D_{12}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{3}q^{11}+\cdots$
3300.1.ff.a	$3300$	$1$	3300.ff	825.bo	$20$	$16$	$2$	$1.647$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$		$1$		$q+\zeta_{60}^{26}q^{3}-\zeta_{60}^{5}q^{5}-\zeta_{60}^{22}q^{9}+\cdots$
3300.1.ff.b	$3300$	$1$	3300.ff	825.bo	$20$	$16$	$2$	$1.647$	$\Q(\zeta_{60})$	$D_{60}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{60}^{17}q^{3}-\zeta_{60}^{25}q^{5}-\zeta_{60}^{4}q^{9}+\cdots$
3300.2.a.a	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{7}+q^{9}-q^{11}-4q^{13}+\cdots$
3300.2.a.b	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
3300.2.a.c	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+q^{11}+4q^{13}-8q^{19}+\cdots$
3300.2.a.d	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}-q^{11}-q^{13}+2q^{17}+\cdots$
3300.2.a.e	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}-q^{11}+4q^{13}-3q^{17}+\cdots$
3300.2.a.f	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$
3300.2.a.g	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$
3300.2.a.h	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$
3300.2.a.i	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$0$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+5q^{7}+q^{9}+q^{11}+4q^{13}+\cdots$
3300.2.a.j	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$-5$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-5q^{7}+q^{9}+q^{11}-4q^{13}+\cdots$
3300.2.a.k	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}+q^{9}-q^{11}-6q^{13}+\cdots$
3300.2.a.l	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
3300.2.a.m	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}-q^{11}-4q^{13}+3q^{17}+\cdots$
3300.2.a.n	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}-q^{11}+q^{13}-2q^{17}+\cdots$
3300.2.a.o	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+q^{11}-4q^{13}-8q^{19}+\cdots$
3300.2.a.p	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+q^{11}+4q^{13}+2q^{17}+\cdots$
3300.2.a.q	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$
3300.2.a.r	$3300$	$2$	3300.a	1.a	$1$	$1$	$1$	$26.351$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$
3300.2.a.s	$3300$	$2$	3300.a	1.a	$1$	$2$	$2$	$26.351$	$\Q(\sqrt{145}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$0$	$-6$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{7}+q^{9}+q^{11}+(-1+\beta )q^{13}+\cdots$
3300.2.a.t	$3300$	$2$	3300.a	1.a	$1$	$2$	$2$	$26.351$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$0$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-1-\beta )q^{7}+q^{9}-q^{11}+(-3+\cdots)q^{13}+\cdots$
3300.2.a.u	$3300$	$2$	3300.a	1.a	$1$	$2$	$2$	$26.351$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$0$	$2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{7}+q^{9}-q^{11}+(-1+\cdots)q^{13}+\cdots$
3300.2.a.v	$3300$	$2$	3300.a	1.a	$1$	$2$	$2$	$26.351$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$0$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta )q^{7}+q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots$
3300.2.a.w	$3300$	$2$	3300.a	1.a	$1$	$2$	$2$	$26.351$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$0$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta )q^{7}+q^{9}+q^{11}+(1+\cdots)q^{13}+\cdots$
3300.2.a.x	$3300$	$2$	3300.a	1.a	$1$	$2$	$2$	$26.351$	$\Q(\sqrt{145}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{7}+q^{9}+q^{11}+\beta q^{13}+\cdots$
3300.2.c.a	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+iq^{7}-q^{9}-q^{11}-4iq^{13}+\cdots$
3300.2.c.b	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+4iq^{7}-q^{9}-q^{11}-4iq^{13}+\cdots$
3300.2.c.c	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2iq^{7}-q^{9}-q^{11}-6iq^{13}+\cdots$
3300.2.c.d	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{3}+2iq^{7}-q^{9}-q^{11}+2iq^{13}+\cdots$
3300.2.c.e	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+iq^{7}-q^{9}-q^{11}+iq^{13}+\cdots$
3300.2.c.f	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{3}+3iq^{7}-q^{9}-q^{11}-4iq^{13}+\cdots$
3300.2.c.g	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+5iq^{7}-q^{9}+q^{11}-4iq^{13}+\cdots$
3300.2.c.h	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{3}-q^{9}+q^{11}-4iq^{13}+2iq^{17}+\cdots$
3300.2.c.i	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{3}+2iq^{7}-q^{9}+q^{11}-2iq^{13}+\cdots$
3300.2.c.j	$3300$	$2$	3300.c	5.b	$2$	$2$	$2$	$26.351$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+2iq^{7}-q^{9}+q^{11}-2iq^{13}+\cdots$

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Elliptic curves over $\Q$
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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.