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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 135 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
264.1.p.a	$264$	$1$	264.p	264.p	$2$	$1$	$1$	$0.132$	$\Q$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-66}) $	$\Q(\sqrt{33}) $	✓	$4$	$0$	$-1$	$-1$	$0$	$0$		$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
264.1.p.b	$264$	$1$	264.p	264.p	$2$	$1$	$1$	$0.132$	$\Q$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-66}) $	$\Q(\sqrt{33}) $	✓	$4$	$0$	$1$	$-1$	$0$	$0$		$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
264.1.r.a	$264$	$1$	264.r	264.r	$10$	$4$	$1$	$0.132$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$-1$	$1$	$0$	$0$		$1$		$q+\zeta_{10}^{2}q^{2}+\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+\cdots$
264.1.r.b	$264$	$1$	264.r	264.r	$10$	$4$	$1$	$0.132$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$1$	$0$	$0$		$1$		$q-\zeta_{10}^{2}q^{2}-\zeta_{10}^{4}q^{3}+\zeta_{10}^{4}q^{4}+\cdots$
264.1.t.a	$264$	$1$	264.t	264.t	$10$	$4$	$1$	$0.132$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$-1$	$-1$	$-2$	$-2$		$1$		$q+\zeta_{10}^{4}q^{2}+\zeta_{10}^{2}q^{3}-\zeta_{10}^{3}q^{4}+\cdots$
264.1.t.b	$264$	$1$	264.t	264.t	$10$	$4$	$1$	$0.132$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$1$	$1$	$2$	$-2$		$1$		$q-\zeta_{10}^{4}q^{2}-\zeta_{10}^{2}q^{3}-\zeta_{10}^{3}q^{4}+\cdots$
264.2.a.a	$264$	$2$	264.a	1.a	$1$	$1$	$1$	$2.108$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}+q^{9}+q^{11}+2q^{13}+\cdots$
264.2.a.b	$264$	$2$	264.a	1.a	$1$	$1$	$1$	$2.108$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}+4q^{7}+q^{9}-q^{11}+6q^{13}+\cdots$
264.2.a.c	$264$	$2$	264.a	1.a	$1$	$1$	$1$	$2.108$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{7}+q^{9}+q^{11}-2q^{17}+\cdots$
264.2.a.d	$264$	$2$	264.a	1.a	$1$	$1$	$1$	$2.108$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$4$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{5}-2q^{7}+q^{9}-q^{11}+4q^{15}+\cdots$
264.2.b.a	$264$	$2$	264.b	33.d	$2$	$6$	$6$	$2.108$	6.0.7388168.1	$_{}$	None	None		$2$	$0$	$0$	$1$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}-\beta _{3}q^{5}+(\beta _{1}+\beta _{3}-\beta _{4})q^{7}+\cdots$
264.2.b.b	$264$	$2$	264.b	33.d	$2$	$6$	$6$	$2.108$	6.0.7388168.1	$_{}$	None	None		$2$	$0$	$0$	$1$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}-\beta _{3}q^{5}+(-\beta _{1}-\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots$
264.2.f.a	$264$	$2$	264.f	8.b	$2$	$2$	$2$	$2.108$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$-2$	$0$	$0$	$8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(-1+i)q^{2}+iq^{3}-2iq^{4}+4iq^{5}+\cdots$
264.2.f.b	$264$	$2$	264.f	8.b	$2$	$2$	$2$	$2.108$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(-1+i)q^{2}-iq^{3}-2iq^{4}+(1+i)q^{6}+\cdots$
264.2.f.c	$264$	$2$	264.f	8.b	$2$	$2$	$2$	$2.108$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$2$	$0$	$0$	$8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(1+i)q^{2}-iq^{3}+2iq^{4}+(1-i)q^{6}+\cdots$
264.2.f.d	$264$	$2$	264.f	8.b	$2$	$4$	$4$	$2.108$	$\Q(\zeta_{8})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-8$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+\zeta_{8}^{3}q^{2}+\zeta_{8}q^{3}+2q^{4}-2\zeta_{8}^{2}q^{5}+\cdots$
264.2.f.e	$264$	$2$	264.f	8.b	$2$	$4$	$4$	$2.108$	$\Q(i, \sqrt{7})$	$_{}$	None	None		$2$	$0$	$2$	$0$	$0$	$-4$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+(1-\beta _{2})q^{2}+\beta _{3}q^{3}+(-1-\beta _{2})q^{4}+\cdots$
264.2.f.f	$264$	$2$	264.f	8.b	$2$	$6$	$6$	$2.108$	6.0.399424.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-4$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{4}q^{2}+\beta _{3}q^{3}+(-\beta _{2}+\beta _{3})q^{4}+\cdots$
264.2.h.a	$264$	$2$	264.h	88.g	$2$	$2$	$2$	$2.108$	$\Q(\sqrt{-7}) $	$_{}$	None	None		$2$	$0$	$-1$	$-2$	$0$	$8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta q^{2}-q^{3}+(-2+\beta )q^{4}+\beta q^{6}+\cdots$
264.2.h.b	$264$	$2$	264.h	88.g	$2$	$2$	$2$	$2.108$	$\Q(\sqrt{-7}) $	$_{}$	None	None		$2$	$0$	$1$	$-2$	$0$	$-8$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta q^{2}-q^{3}+(-2+\beta )q^{4}-\beta q^{6}+\cdots$
264.2.h.c	$264$	$2$	264.h	88.g	$2$	$4$	$4$	$2.108$	$\Q(\sqrt{-2}, \sqrt{-3})$	$_{}$	None	None		$4$	$0$	$0$	$-4$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{3})q^{4}-\beta _{1}q^{6}+\cdots$
264.2.h.d	$264$	$2$	264.h	88.g	$2$	$4$	$4$	$2.108$	$\Q(\sqrt{2}, \sqrt{-7})$	$_{}$	None	None		$4$	$0$	$0$	$-4$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{3}+2q^{4}-\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots$
264.2.h.e	$264$	$2$	264.h	88.g	$2$	$12$	$12$	$2.108$	12.0.$\cdots$.1	$_{}$	None	None		$4$	$0$	$0$	$12$	$0$	$0$		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}+q^{3}+\beta _{6}q^{4}-\beta _{7}q^{5}-\beta _{1}q^{6}+\cdots$
264.2.k.a	$264$	$2$	264.k	24.f	$2$	$8$	$8$	$2.108$	8.0.18939904.2	$_{}$	None	None		$4$	$0$	$0$	$-8$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{2}+\beta _{6})q^{2}+(-1-\beta _{1}+\beta _{2}+\beta _{6}+\cdots)q^{3}+\cdots$
264.2.k.b	$264$	$2$	264.k	24.f	$2$	$32$	$32$	$2.108$		$_{}$	None	None		$4$	$0$	$0$	$8$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
264.2.m.a	$264$	$2$	264.m	264.m	$2$	$4$	$4$	$2.108$	$\Q(\sqrt{-2}, \sqrt{3})$	$_{}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{U}(1)[D_{2}]$	$q-\beta _{1}q^{2}-\beta _{2}q^{3}-2q^{4}+2\beta _{2}q^{5}+\cdots$
264.2.m.b	$264$	$2$	264.m	264.m	$2$	$40$	$40$	$2.108$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
264.2.q.a	$264$	$2$	264.q	11.c	$5$	$4$	$1$	$2.108$	$\Q(\zeta_{10})$	$_{}$	None	None		$2$	$0$	$0$	$-1$	$-8$	$6$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\zeta_{10}^{3}q^{3}+(-2-\zeta_{10}+\zeta_{10}^{2}+2\zeta_{10}^{3})q^{5}+\cdots$
264.2.q.b	$264$	$2$	264.q	11.c	$5$	$4$	$1$	$2.108$	$\Q(\zeta_{10})$	$_{}$	None	None		$2$	$0$	$0$	$-1$	$1$	$-3$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\zeta_{10}^{3}q^{3}+(-1+2\zeta_{10}-2\zeta_{10}^{2}+\cdots)q^{5}+\cdots$
264.2.q.c	$264$	$2$	264.q	11.c	$5$	$4$	$1$	$2.108$	$\Q(\zeta_{10})$	$_{}$	None	None		$2$	$0$	$0$	$-1$	$5$	$-7$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\zeta_{10}^{3}q^{3}+(3-2\zeta_{10}+2\zeta_{10}^{2}-3\zeta_{10}^{3})q^{5}+\cdots$
264.2.q.d	$264$	$2$	264.q	11.c	$5$	$4$	$1$	$2.108$	$\Q(\zeta_{10})$	$_{}$	None	None		$2$	$0$	$0$	$1$	$3$	$5$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\zeta_{10}^{3}q^{3}+(1-\zeta_{10}^{3})q^{5}+(2\zeta_{10}+\cdots)q^{7}+\cdots$
264.2.q.e	$264$	$2$	264.q	11.c	$5$	$8$	$2$	$2.108$	8.0.185640625.1	$_{}$	None	None		$2$	$0$	$0$	$2$	$-1$	$-5$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\beta _{2}q^{3}+(-1+\beta _{2}+\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots$
264.2.u.a	$264$	$2$	264.u	264.u	$10$	$16$	$4$	$2.108$	16.0.$\cdots$.7	$_{}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2^{4}$	$\mathrm{U}(1)[D_{10}]$	$q-\beta _{6}q^{2}-\beta _{9}q^{3}+(2-2\beta _{4}-2\beta _{8}+\cdots)q^{4}+\cdots$
264.2.u.b	$264$	$2$	264.u	264.u	$10$	$160$	$40$	$2.108$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$-20$			$\mathrm{SU}(2)[C_{10}]$
264.2.w.a	$264$	$2$	264.w	264.w	$10$	$8$	$2$	$2.108$	8.0.64000000.1	$_{}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$2$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{10}]$	$q+\beta _{1}q^{2}+(\beta _{2}+\beta _{7})q^{3}+2\beta _{2}q^{4}+(-2+\cdots)q^{6}+\cdots$
264.2.w.b	$264$	$2$	264.w	264.w	$10$	$8$	$2$	$2.108$	8.0.64000000.1	$_{}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$2$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{10}]$	$q+\beta _{1}q^{2}+(\beta _{1}-\beta _{3}-\beta _{4}+\beta _{5}-\beta _{7})q^{3}+\cdots$
264.2.w.c	$264$	$2$	264.w	264.w	$10$	$16$	$4$	$2.108$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$8$	$0$	$0$	$-12$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q-\beta _{11}q^{2}+(-1-\beta _{2}-\beta _{4}-\beta _{5}+\beta _{7}+\cdots)q^{3}+\cdots$
264.2.w.d	$264$	$2$	264.w	264.w	$10$	$144$	$36$	$2.108$		$_{}$	None	None		$8$	$0$	$0$	$2$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
264.2.z.a	$264$	$2$	264.z	88.k	$10$	$48$	$12$	$2.108$		$_{}$	None	None		$4$	$0$	$0$	$-12$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
264.2.z.b	$264$	$2$	264.z	88.k	$10$	$48$	$12$	$2.108$		$_{}$	None	None		$4$	$0$	$0$	$12$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
264.2.bb.a	$264$	$2$	264.bb	88.o	$10$	$96$	$24$	$2.108$		$_{}$	None	None		$4$	$0$	$4$	$0$	$0$	$8$			$\mathrm{SU}(2)[C_{10}]$
264.2.bf.a	$264$	$2$	264.bf	33.f	$10$	$24$	$6$	$2.108$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
264.2.bf.b	$264$	$2$	264.bf	33.f	$10$	$24$	$6$	$2.108$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
264.3.c.a	$264$	$3$	264.c	8.d	$2$	$40$	$40$	$7.193$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
264.3.e.a	$264$	$3$	264.e	88.b	$2$	$48$	$48$	$7.193$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
264.3.i.a	$264$	$3$	264.i	3.b	$2$	$20$	$20$	$7.193$	$\mathbb{Q}[x]/(x^{20} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$16$		$2^{26}\cdot 3^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{3}q^{3}+\beta _{6}q^{5}+(1-\beta _{2})q^{7}+(1-\beta _{15}+\cdots)q^{9}+\cdots$
264.3.j.a	$264$	$3$	264.j	11.b	$2$	$12$	$12$	$7.193$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{5}q^{7}+\cdots$
264.3.n.a	$264$	$3$	264.n	24.h	$2$	$80$	$80$	$7.193$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
264.3.p.a	$264$	$3$	264.p	264.p	$2$	$2$	$2$	$7.193$	$\Q(\sqrt{22}) $	$_{}$	$\Q(\sqrt{-66}) $	None	✓	$4$	$0$	$-4$	$-6$	$0$	$0$		$2$	$\mathrm{U}(1)[D_{2}]$	$q-2q^{2}-3q^{3}+4q^{4}+\beta q^{5}+6q^{6}+\cdots$
264.3.p.b	$264$	$3$	264.p	264.p	$2$	$2$	$2$	$7.193$	$\Q(\sqrt{-2}) $	$_{}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$-4$	$2$	$0$	$0$		$2$	$\mathrm{U}(1)[D_{2}]$	$q-2q^{2}+(1+\beta )q^{3}+4q^{4}+(-2-2\beta )q^{6}+\cdots$

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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.