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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 54 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3762.2.a.a	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-3$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-4q^{7}-q^{8}+3q^{10}+\cdots$
3762.2.a.b	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}+2q^{7}-q^{8}+3q^{10}+\cdots$
3762.2.a.c	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+2q^{7}-q^{8}+2q^{10}+\cdots$
3762.2.a.d	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots$
3762.2.a.e	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$
3762.2.a.f	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-4q^{7}-q^{8}-2q^{10}+\cdots$
3762.2.a.g	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-3q^{7}-q^{8}-2q^{10}+\cdots$
3762.2.a.h	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\cdots$
3762.2.a.i	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots$
3762.2.a.j	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$
3762.2.a.k	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}-q^{11}+\cdots$
3762.2.a.l	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+q^{11}+\cdots$
3762.2.a.m	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-3$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+2q^{7}+q^{8}-3q^{10}+\cdots$
3762.2.a.n	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}+q^{11}-4q^{14}+\cdots$
3762.2.a.o	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{7}+q^{8}+q^{11}-4q^{13}+\cdots$
3762.2.a.p	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}-2q^{7}+q^{8}+2q^{10}+\cdots$
3762.2.a.q	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$3$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+3q^{5}-4q^{7}+q^{8}+3q^{10}+\cdots$
3762.2.a.r	$3762$	$2$	3762.a	1.a	$1$	$1$	$1$	$30.040$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+4q^{5}+q^{8}+4q^{10}-q^{11}+\cdots$
3762.2.a.s	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$-2$	$0$	$-3$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1-\beta )q^{5}+(-2-\beta )q^{7}+\cdots$
3762.2.a.t	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$6$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1-\beta )q^{5}+(3-\beta )q^{7}+\cdots$
3762.2.a.u	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-3-\beta )q^{7}-q^{8}-q^{11}+\cdots$
3762.2.a.v	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta )q^{5}+2q^{7}-q^{8}+\cdots$
3762.2.a.w	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$-2$	$0$	$4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-\beta q^{7}-q^{8}-2q^{10}+\cdots$
3762.2.a.x	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$2$	$0$	$-4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+\beta q^{7}+q^{8}-2q^{10}+\cdots$
3762.2.a.y	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$0$	$-4$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+(1+\beta )q^{7}+q^{8}+\cdots$
3762.2.a.z	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$2$	$0$	$-3$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta )q^{5}-2q^{7}+q^{8}+\cdots$
3762.2.a.ba	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-3+\beta )q^{7}+q^{8}+q^{11}+\cdots$
3762.2.a.bb	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$2$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+(-1+\beta )q^{7}+q^{8}+\cdots$
3762.2.a.bc	$3762$	$2$	3762.a	1.a	$1$	$2$	$2$	$30.040$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$0$	$1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+2q^{7}+q^{8}+\beta q^{10}+\cdots$
3762.2.a.bd	$3762$	$2$	3762.a	1.a	$1$	$3$	$3$	$30.040$	3.3.469.1	None	✓	$1$	$1$	$-3$	$0$	$-5$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-2+\beta _{1})q^{5}-\beta _{2}q^{7}+\cdots$
3762.2.a.be	$3762$	$2$	3762.a	1.a	$1$	$3$	$3$	$30.040$	3.3.229.1	None	✓	$1$	$1$	$-3$	$0$	$-1$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots$
3762.2.a.bf	$3762$	$2$	3762.a	1.a	$1$	$3$	$3$	$30.040$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$3$	$0$	$2$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta _{1})q^{5}+(1+\beta _{2})q^{7}+\cdots$
3762.2.a.bg	$3762$	$2$	3762.a	1.a	$1$	$3$	$3$	$30.040$	3.3.621.1	None	✓	$1$	$0$	$3$	$0$	$3$	$-6$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta _{1}+\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots$
3762.2.a.bh	$3762$	$2$	3762.a	1.a	$1$	$4$	$4$	$30.040$	4.4.23377.1	None	✓	$1$	$0$	$4$	$0$	$-3$	$2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta _{2})q^{5}+\beta _{1}q^{7}+\cdots$
3762.2.a.bi	$3762$	$2$	3762.a	1.a	$1$	$5$	$5$	$30.040$	5.5.7578576.1	None	✓	$1$	$0$	$-5$	$0$	$-3$	$6$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(1-\beta _{3}+\cdots)q^{7}+\cdots$
3762.2.a.bj	$3762$	$2$	3762.a	1.a	$1$	$5$	$5$	$30.040$	5.5.7318736.1	None	✓	$1$	$0$	$-5$	$0$	$-1$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-\beta _{4}q^{5}+(1-\beta _{3})q^{7}-q^{8}+\cdots$
3762.2.a.bk	$3762$	$2$	3762.a	1.a	$1$	$5$	$5$	$30.040$	5.5.7318736.1	None	✓	$1$	$0$	$5$	$0$	$1$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{4}q^{5}+(1-\beta _{3})q^{7}+q^{8}+\cdots$
3762.2.a.bl	$3762$	$2$	3762.a	1.a	$1$	$5$	$5$	$30.040$	5.5.7578576.1	None	✓	$1$	$0$	$5$	$0$	$3$	$6$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1-\beta _{1})q^{5}+(1-\beta _{3})q^{7}+\cdots$
3762.2.b.a	$3762$	$2$	3762.b	33.d	$2$	$36$	$36$	$30.040$		None		$2$	$0$	$-36$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
3762.2.b.b	$3762$	$2$	3762.b	33.d	$2$	$36$	$36$	$30.040$		None		$2$	$0$	$36$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
3762.2.d.a	$3762$	$2$	3762.d	57.d	$2$	$36$	$36$	$30.040$		None		$2$	$0$	$-36$	$0$	$0$	$-8$			$\mathrm{SU}(2)[C_{2}]$
3762.2.d.b	$3762$	$2$	3762.d	57.d	$2$	$36$	$36$	$30.040$		None		$2$	$0$	$36$	$0$	$0$	$-8$			$\mathrm{SU}(2)[C_{2}]$
3762.2.g.a	$3762$	$2$	3762.g	209.d	$2$	$2$	$2$	$30.040$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-q^{8}+(-3+\beta )q^{11}+4q^{13}+\cdots$
3762.2.g.b	$3762$	$2$	3762.g	209.d	$2$	$2$	$2$	$30.040$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-q^{8}+(3+\beta )q^{11}-4q^{13}+\cdots$
3762.2.g.c	$3762$	$2$	3762.g	209.d	$2$	$2$	$2$	$30.040$	$\Q(\sqrt{-10}) $	None		$2$	$0$	$-2$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2q^{5}-\beta q^{7}-q^{8}-2q^{10}+\cdots$
3762.2.g.d	$3762$	$2$	3762.g	209.d	$2$	$2$	$2$	$30.040$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+q^{8}+(-3+\beta )q^{11}-4q^{13}+\cdots$
3762.2.g.e	$3762$	$2$	3762.g	209.d	$2$	$2$	$2$	$30.040$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+q^{8}+(3+\beta )q^{11}+4q^{13}+\cdots$
3762.2.g.f	$3762$	$2$	3762.g	209.d	$2$	$2$	$2$	$30.040$	$\Q(\sqrt{-10}) $	None		$2$	$0$	$2$	$0$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+2q^{5}-\beta q^{7}+q^{8}+2q^{10}+\cdots$
3762.2.g.g	$3762$	$2$	3762.g	209.d	$2$	$8$	$8$	$30.040$	8.0.$\cdots$.1	None		$2$	$0$	$-8$	$0$	$-2$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}-\beta _{2}q^{5}+(\beta _{3}+\beta _{5})q^{7}+\cdots$
3762.2.g.h	$3762$	$2$	3762.g	209.d	$2$	$8$	$8$	$30.040$	8.0.$\cdots$.1	None		$2$	$0$	$8$	$0$	$-2$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{2}q^{5}+(-\beta _{3}-\beta _{5})q^{7}+\cdots$

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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.