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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 62 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
3366.2.a.a	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-4$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{5}-2q^{7}-q^{8}+4q^{10}+\cdots$
3366.2.a.b	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}-2q^{7}-q^{8}+2q^{10}+\cdots$
3366.2.a.c	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}-2q^{7}-q^{8}+2q^{10}+\cdots$
3366.2.a.d	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+4q^{7}-q^{8}+2q^{10}+\cdots$
3366.2.a.e	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-2$	$4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+4q^{7}-q^{8}+2q^{10}+\cdots$
3366.2.a.f	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{7}-q^{8}-q^{11}-4q^{13}+\cdots$
3366.2.a.g	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{7}-q^{8}-q^{11}+4q^{13}+\cdots$
3366.2.a.h	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{7}-q^{8}-q^{11}+4q^{13}+\cdots$
3366.2.a.i	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-4q^{7}-q^{8}-2q^{10}+\cdots$
3366.2.a.j	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\cdots$
3366.2.a.k	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots$
3366.2.a.l	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}-2q^{7}+q^{8}-2q^{10}+\cdots$
3366.2.a.m	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}+4q^{7}+q^{8}-2q^{10}+\cdots$
3366.2.a.n	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{7}+q^{8}+q^{11}-2q^{13}+\cdots$
3366.2.a.o	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+4q^{7}+q^{8}+q^{11}+4q^{13}+\cdots$
3366.2.a.p	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}-2q^{7}+q^{8}+2q^{10}+\cdots$
3366.2.a.q	$3366$	$2$	3366.a	1.a	$1$	$1$	$1$	$26.878$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}-q^{11}+\cdots$
3366.2.a.r	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1-\beta )q^{5}+(1+\beta )q^{7}+\cdots$
3366.2.a.s	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta )q^{5}-2q^{7}-q^{8}+\cdots$
3366.2.a.t	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$-2$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta )q^{5}-2q^{7}+q^{8}+\cdots$
3366.2.a.u	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta )q^{5}+(-1+\beta )q^{7}+\cdots$
3366.2.a.v	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-2+\beta )q^{7}+q^{8}-q^{11}+\cdots$
3366.2.a.w	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+(-2+\beta )q^{7}+q^{8}+\cdots$
3366.2.a.x	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta )q^{5}+(1+\beta )q^{7}+\cdots$
3366.2.a.y	$3366$	$2$	3366.a	1.a	$1$	$2$	$2$	$26.878$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$6$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta )q^{5}+(3+\beta )q^{7}+\cdots$
3366.2.a.z	$3366$	$2$	3366.a	1.a	$1$	$3$	$3$	$26.878$	3.3.148.1	None	✓	$1$	$0$	$-3$	$0$	$0$	$2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{2}q^{5}+(1+\beta _{1})q^{7}-q^{8}+\cdots$
3366.2.a.ba	$3366$	$2$	3366.a	1.a	$1$	$3$	$3$	$26.878$	3.3.257.1	None	✓	$1$	$0$	$-3$	$0$	$1$	$7$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(\beta _{1}+\beta _{2})q^{5}+(2+\beta _{1}+\cdots)q^{7}+\cdots$
3366.2.a.bb	$3366$	$2$	3366.a	1.a	$1$	$3$	$3$	$26.878$	3.3.316.1	None	✓	$1$	$0$	$-3$	$0$	$2$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta _{2})q^{5}+(-1+\beta _{2})q^{7}+\cdots$
3366.2.a.bc	$3366$	$2$	3366.a	1.a	$1$	$3$	$3$	$26.878$	3.3.316.1	None	✓	$1$	$1$	$3$	$0$	$-2$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta _{2})q^{5}+(-1+\beta _{2})q^{7}+\cdots$
3366.2.a.bd	$3366$	$2$	3366.a	1.a	$1$	$3$	$3$	$26.878$	3.3.785.1	None	✓	$1$	$0$	$3$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{2}q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots$
3366.2.a.be	$3366$	$2$	3366.a	1.a	$1$	$4$	$4$	$26.878$	4.4.19664.1	None	✓	$1$	$1$	$-4$	$0$	$-2$	$-2$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{1}q^{5}+(-1-\beta _{2})q^{7}+\cdots$
3366.2.a.bf	$3366$	$2$	3366.a	1.a	$1$	$4$	$4$	$26.878$	4.4.17417.1	None	✓	$1$	$0$	$-4$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$
3366.2.a.bg	$3366$	$2$	3366.a	1.a	$1$	$4$	$4$	$26.878$	4.4.55585.1	None	✓	$1$	$0$	$4$	$0$	$-5$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta _{2})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$
3366.2.a.bh	$3366$	$2$	3366.a	1.a	$1$	$4$	$4$	$26.878$	4.4.19664.1	None	✓	$1$	$0$	$4$	$0$	$2$	$-2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta _{1}q^{5}+(-1-\beta _{2})q^{7}+\cdots$
3366.2.b.a	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$1$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2\beta q^{5}+3\beta q^{7}-q^{8}+\cdots$
3366.2.b.b	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(-3+\cdots)q^{11}+\cdots$
3366.2.b.c	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(3+\cdots)q^{11}+\cdots$
3366.2.b.d	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta q^{5}+2\beta q^{7}-q^{8}-\beta q^{10}+\cdots$
3366.2.b.e	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta q^{5}-2\beta q^{7}+q^{8}+\beta q^{10}+\cdots$
3366.2.b.f	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(-3+\cdots)q^{11}+\cdots$
3366.2.b.g	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+2\beta q^{5}-3\beta q^{7}+q^{8}+\cdots$
3366.2.b.h	$3366$	$2$	3366.b	33.d	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(3+\cdots)q^{11}+\cdots$
3366.2.b.i	$3366$	$2$	3366.b	33.d	$2$	$12$	$12$	$26.878$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$-12$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta _{1}q^{5}-\beta _{10}q^{7}-q^{8}+\cdots$
3366.2.b.j	$3366$	$2$	3366.b	33.d	$2$	$12$	$12$	$26.878$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$-12$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+\beta _{4}q^{5}+\beta _{10}q^{7}-q^{8}+\cdots$
3366.2.b.k	$3366$	$2$	3366.b	33.d	$2$	$12$	$12$	$26.878$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$12$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{4}q^{5}-\beta _{10}q^{7}+q^{8}+\cdots$
3366.2.b.l	$3366$	$2$	3366.b	33.d	$2$	$12$	$12$	$26.878$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$12$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{1}q^{5}+\beta _{10}q^{7}+q^{8}+\cdots$
3366.2.c.a	$3366$	$2$	3366.c	17.b	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2iq^{5}-4iq^{7}-q^{8}+\cdots$
3366.2.c.b	$3366$	$2$	3366.c	17.b	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2iq^{5}+4iq^{7}-q^{8}+\cdots$
3366.2.c.c	$3366$	$2$	3366.c	17.b	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+4iq^{5}+4iq^{7}+q^{8}+\cdots$
3366.2.c.d	$3366$	$2$	3366.c	17.b	$2$	$2$	$2$	$26.878$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+q^{8}-iq^{11}+2q^{13}+\cdots$

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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.