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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 68 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
4290.2.a.a	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-4q^{7}+\cdots$
4290.2.a.b	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
4290.2.a.c	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
4290.2.a.d	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots$
4290.2.a.e	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+5q^{7}+\cdots$
4290.2.a.f	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots$
4290.2.a.g	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
4290.2.a.h	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+2q^{7}+\cdots$
4290.2.a.i	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+5q^{7}+\cdots$
4290.2.a.j	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
4290.2.a.k	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
4290.2.a.l	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
4290.2.a.m	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
4290.2.a.n	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
4290.2.a.o	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
4290.2.a.p	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\cdots$
4290.2.a.q	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots$
4290.2.a.r	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
4290.2.a.s	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
4290.2.a.t	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots$
4290.2.a.u	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$
4290.2.a.v	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\cdots$
4290.2.a.w	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-4q^{7}+\cdots$
4290.2.a.x	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots$
4290.2.a.y	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
4290.2.a.z	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
4290.2.a.ba	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots$
4290.2.a.bb	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots$
4290.2.a.bc	$4290$	$2$	4290.a	1.a	$1$	$1$	$1$	$34.256$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
4290.2.a.bd	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-2$	$-2$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-\beta q^{7}+\cdots$
4290.2.a.be	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$-2$	$2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots$
4290.2.a.bf	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$2$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots$
4290.2.a.bg	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$2$	$-2$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots$
4290.2.a.bh	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$2$	$2$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
4290.2.a.bi	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$-2$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-\beta q^{7}+\cdots$
4290.2.a.bj	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$-2$	$2$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
4290.2.a.bk	$4290$	$2$	4290.a	1.a	$1$	$2$	$2$	$34.256$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$2$	$-2$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots$
4290.2.a.bl	$4290$	$2$	4290.a	1.a	$1$	$3$	$3$	$34.256$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$-3$	$-3$	$-3$	$-6$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots$
4290.2.a.bm	$4290$	$2$	4290.a	1.a	$1$	$3$	$3$	$34.256$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$-3$	$3$	$-3$	$0$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta _{1}q^{7}+\cdots$
4290.2.a.bn	$4290$	$2$	4290.a	1.a	$1$	$3$	$3$	$34.256$	3.3.961.1	None	✓	$1$	$0$	$3$	$-3$	$-3$	$-1$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-\beta _{1}q^{7}+\cdots$
4290.2.a.bo	$4290$	$2$	4290.a	1.a	$1$	$3$	$3$	$34.256$	3.3.1373.1	None	✓	$1$	$0$	$3$	$-3$	$-3$	$1$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+\beta _{2}q^{7}+\cdots$
4290.2.a.bp	$4290$	$2$	4290.a	1.a	$1$	$3$	$3$	$34.256$	3.3.940.1	None	✓	$1$	$0$	$3$	$3$	$-3$	$1$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+\beta _{2}q^{7}+\cdots$
4290.2.a.bq	$4290$	$2$	4290.a	1.a	$1$	$3$	$3$	$34.256$	3.3.621.1	None	✓	$1$	$0$	$3$	$3$	$3$	$3$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta _{2})q^{7}+\cdots$
4290.2.a.br	$4290$	$2$	4290.a	1.a	$1$	$4$	$4$	$34.256$	4.4.59468.1	None	✓	$1$	$0$	$-4$	$-4$	$4$	$3$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta _{2}+\cdots)q^{7}+\cdots$
4290.2.a.bs	$4290$	$2$	4290.a	1.a	$1$	$4$	$4$	$34.256$	4.4.24197.1	None	✓	$1$	$0$	$-4$	$4$	$4$	$1$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-\beta _{1}q^{7}+\cdots$
4290.2.a.bt	$4290$	$2$	4290.a	1.a	$1$	$4$	$4$	$34.256$	4.4.82673.1	None	✓	$1$	$0$	$4$	$-4$	$4$	$3$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1+\beta _{2}+\cdots)q^{7}+\cdots$
4290.2.a.bu	$4290$	$2$	4290.a	1.a	$1$	$4$	$4$	$34.256$	4.4.26825.1	None	✓	$1$	$0$	$4$	$4$	$4$	$3$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1-\beta _{3})q^{7}+\cdots$
4290.2.g.a	$4290$	$2$	4290.g	13.b	$2$	$2$	$2$	$34.256$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{2}-q^{3}-q^{4}-iq^{5}+iq^{6}+2iq^{7}+\cdots$
4290.2.g.b	$4290$	$2$	4290.g	13.b	$2$	$2$	$2$	$34.256$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}+4iq^{7}+\cdots$
4290.2.g.c	$4290$	$2$	4290.g	13.b	$2$	$2$	$2$	$34.256$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}+iq^{7}+\cdots$

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Elliptic 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.