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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 69 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
776.1.h.a	$776$	$1$	776.h	776.h	$2$	$1$	$1$	$0.387$	$\Q$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-194}) $	$\Q(\sqrt{97}) $	✓	$4$	$0$	$-1$	$2$	$0$	$0$		$1$		$q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+3q^{9}+\cdots$
776.1.h.b	$776$	$1$	776.h	776.h	$2$	$2$	$2$	$0.387$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-194}) $	None	✓	$2$	$0$	$2$	$-1$	$-1$	$-1$		$1$		$q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots$
776.1.h.c	$776$	$1$	776.h	776.h	$2$	$2$	$2$	$0.387$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-194}) $	None	✓	$2$	$0$	$2$	$-1$	$1$	$1$		$1$		$q+q^{2}+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots$
776.1.h.d	$776$	$1$	776.h	776.h	$2$	$4$	$4$	$0.387$	$\Q(\zeta_{20})^+$	$D_{10}$	$\Q(\sqrt{-194}) $	None	✓	$4$	$0$	$-4$	$-2$	$0$	$0$		$1$		$q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots$
776.1.k.a	$776$	$1$	776.k	776.k	$4$	$2$	$1$	$0.387$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+iq^{2}-q^{4}-iq^{8}+q^{9}+iq^{11}+\cdots$
776.1.n.a	$776$	$1$	776.n	776.n	$6$	$2$	$1$	$0.387$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$1$	$0$	$0$		$1$		$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$
776.1.o.a	$776$	$1$	776.o	776.o	$6$	$2$	$1$	$0.387$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$-1$	$1$	$0$	$0$		$1$		$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$
776.1.x.a	$776$	$1$	776.x	776.x	$8$	$4$	$1$	$0.387$	$\Q(\zeta_{8})$	$D_{8}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$4$	$0$	$0$		$1$		$q-\zeta_{8}q^{2}+(1-\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{4}+(-\zeta_{8}+\cdots)q^{6}+\cdots$
776.1.ba.a	$776$	$1$	776.ba	776.aa	$12$	$4$	$1$	$0.387$	$\Q(\zeta_{12})$	$D_{12}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-6$	$0$	$0$		$1$		$q+\zeta_{12}q^{2}+(-1-\zeta_{12}^{2})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$
776.1.be.a	$776$	$1$	776.be	776.ae	$16$	$8$	$1$	$0.387$	$\Q(\zeta_{16})$	$D_{16}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-8$	$0$	$0$		$1$		$q-\zeta_{16}^{3}q^{2}+(-1-\zeta_{16}^{2})q^{3}+\zeta_{16}^{6}q^{4}+\cdots$
776.1.bh.a	$776$	$1$	776.bh	776.ah	$24$	$8$	$1$	$0.387$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-4$	$0$	$0$		$1$		$q-\zeta_{24}^{7}q^{2}+(-\zeta_{24}^{6}+\zeta_{24}^{8})q^{3}+\cdots$
776.1.bp.a	$776$	$1$	776.bp	776.ap	$48$	$16$	$1$	$0.387$	$\Q(\zeta_{48})$	$D_{48}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$8$	$0$	$0$		$1$		$q-\zeta_{48}^{19}q^{2}+(\zeta_{48}^{8}-\zeta_{48}^{18})q^{3}+\cdots$
776.2.a.a	$776$	$2$	776.a	1.a	$1$	$1$	$1$	$6.196$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+2q^{7}-3q^{9}-2q^{13}+2q^{17}+\cdots$
776.2.a.b	$776$	$2$	776.a	1.a	$1$	$3$	$3$	$6.196$	3.3.257.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-4$	$3$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{3}+(1-\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots$
776.2.a.c	$776$	$2$	776.a	1.a	$1$	$3$	$3$	$6.196$	$\Q(\zeta_{18})^+$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-3$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$
776.2.a.d	$776$	$2$	776.a	1.a	$1$	$8$	$8$	$6.196$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$0$	$6$	$-1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+\beta _{4}q^{5}+(1+\beta _{4}-\beta _{5}+\cdots)q^{7}+\cdots$
776.2.a.e	$776$	$2$	776.a	1.a	$1$	$9$	$9$	$6.196$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$5$	$3$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+(1-\beta _{8})q^{5}-\beta _{5}q^{7}+(2+\beta _{4}+\cdots)q^{9}+\cdots$
776.2.c.a	$776$	$2$	776.c	8.b	$2$	$48$	$48$	$6.196$		$_{}$	None	None		$2$	$0$	$-1$	$0$	$0$	$-20$			$\mathrm{SU}(2)[C_{2}]$
776.2.c.b	$776$	$2$	776.c	8.b	$2$	$48$	$48$	$6.196$		$_{}$	None	None		$2$	$0$	$-1$	$0$	$0$	$16$			$\mathrm{SU}(2)[C_{2}]$
776.2.d.a	$776$	$2$	776.d	776.d	$2$	$96$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$-2$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
776.2.f.a	$776$	$2$	776.f	97.b	$2$	$12$	$12$	$6.196$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-2$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{5}q^{3}+\beta _{4}q^{5}-\beta _{1}q^{7}+(1+\beta _{6}+\cdots)q^{9}+\cdots$
776.2.f.b	$776$	$2$	776.f	97.b	$2$	$12$	$12$	$6.196$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-2$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{3}q^{3}-\beta _{1}q^{5}-\beta _{4}q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots$
776.2.i.a	$776$	$2$	776.i	97.c	$3$	$2$	$1$	$6.196$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$-1$	$-3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(-1+\cdots)q^{7}+\cdots$
776.2.i.b	$776$	$2$	776.i	97.c	$3$	$2$	$1$	$6.196$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$1$	$2$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{3}+(2-2\zeta_{6})q^{5}+(-4+4\zeta_{6})q^{7}+\cdots$
776.2.i.c	$776$	$2$	776.i	97.c	$3$	$2$	$1$	$6.196$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$2$	$-3$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(2-2\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(2+\cdots)q^{7}+\cdots$
776.2.i.d	$776$	$2$	776.i	97.c	$3$	$20$	$10$	$6.196$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-5$	$1$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\beta _{1}+\beta _{12})q^{3}-\beta _{14}q^{5}+(\beta _{4}+\cdots)q^{7}+\cdots$
776.2.i.e	$776$	$2$	776.i	97.c	$3$	$22$	$11$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$0$	$4$	$4$			$\mathrm{SU}(2)[C_{3}]$
776.2.j.a	$776$	$2$	776.j	97.d	$4$	$2$	$1$	$6.196$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$4$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q-2iq^{3}+(2-2i)q^{7}-q^{9}-4iq^{11}+\cdots$
776.2.j.b	$776$	$2$	776.j	97.d	$4$	$2$	$1$	$6.196$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$-6$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+2iq^{3}+(1+i)q^{5}+(-3+3i)q^{7}+\cdots$
776.2.j.c	$776$	$2$	776.j	97.d	$4$	$2$	$1$	$6.196$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$4$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+(1+i)q^{5}+(2-2i)q^{7}+3q^{9}+(-3+\cdots)q^{13}+\cdots$
776.2.j.d	$776$	$2$	776.j	97.d	$4$	$20$	$10$	$6.196$	$\mathbb{Q}[x]/(x^{20} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$6$		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	$q+\beta _{1}q^{3}+\beta _{12}q^{5}-\beta _{7}q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots$
776.2.j.e	$776$	$2$	776.j	97.d	$4$	$22$	$11$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-4$	$0$			$\mathrm{SU}(2)[C_{4}]$
776.2.l.a	$776$	$2$	776.l	776.l	$4$	$192$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$			$\mathrm{SU}(2)[C_{4}]$
776.2.p.a	$776$	$2$	776.p	97.e	$6$	$24$	$12$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$-9$	$-3$			$\mathrm{SU}(2)[C_{6}]$
776.2.p.b	$776$	$2$	776.p	97.e	$6$	$24$	$12$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$2$	$6$	$-3$			$\mathrm{SU}(2)[C_{6}]$
776.2.r.a	$776$	$2$	776.r	776.r	$6$	$192$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$-1$	$0$	$0$	$-6$			$\mathrm{SU}(2)[C_{6}]$
776.2.s.a	$776$	$2$	776.s	776.s	$6$	$192$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$-1$	$0$	$0$	$-2$			$\mathrm{SU}(2)[C_{6}]$
776.2.u.a	$776$	$2$	776.u	776.u	$8$	$384$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$-4$	$0$	$0$	$-8$			$\mathrm{SU}(2)[C_{8}]$
776.2.w.a	$776$	$2$	776.w	97.f	$8$	$44$	$11$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$-4$	$4$	$-4$			$\mathrm{SU}(2)[C_{8}]$
776.2.w.b	$776$	$2$	776.w	97.f	$8$	$52$	$13$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-8$	$-4$			$\mathrm{SU}(2)[C_{8}]$
776.2.z.a	$776$	$2$	776.z	776.z	$12$	$384$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$-6$	$0$	$0$	$-8$			$\mathrm{SU}(2)[C_{12}]$
776.2.bb.a	$776$	$2$	776.bb	97.g	$12$	$4$	$1$	$6.196$	$\Q(\zeta_{12})$	$_{}$	None	None		$2$	$0$	$0$	$6$	$-2$	$6$		$1$	$\mathrm{SU}(2)[C_{12}]$	$q+(2+\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+(-1+\cdots)q^{5}+\cdots$
776.2.bb.b	$776$	$2$	776.bb	97.g	$12$	$44$	$11$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$-6$	$0$	$-10$			$\mathrm{SU}(2)[C_{12}]$
776.2.bb.c	$776$	$2$	776.bb	97.g	$12$	$48$	$12$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$6$	$0$	$-4$			$\mathrm{SU}(2)[C_{12}]$
776.2.bc.a	$776$	$2$	776.bc	776.ac	$16$	$768$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$-8$	$0$	$0$	$-16$			$\mathrm{SU}(2)[C_{16}]$
776.2.bf.a	$776$	$2$	776.bf	97.h	$16$	$96$	$12$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$8$	$8$	$0$			$\mathrm{SU}(2)[C_{16}]$
776.2.bf.b	$776$	$2$	776.bf	97.h	$16$	$104$	$13$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-8$	$0$			$\mathrm{SU}(2)[C_{16}]$
776.2.bg.a	$776$	$2$	776.bg	97.i	$24$	$88$	$11$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$4$	$-4$	$4$			$\mathrm{SU}(2)[C_{24}]$
776.2.bg.b	$776$	$2$	776.bg	97.i	$24$	$104$	$13$	$6.196$		$_{}$	None	None		$2$	$0$	$0$	$0$	$8$	$4$			$\mathrm{SU}(2)[C_{24}]$
776.2.bi.a	$776$	$2$	776.bi	776.ai	$24$	$768$	$96$	$6.196$		$_{}$	None	None		$4$	$0$	$-8$	$0$	$0$	$-16$			$\mathrm{SU}(2)[C_{24}]$

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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.