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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 (39 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
3040.1.b.a	$3040$	$1$	3040.b	760.b	$2$	$8$	$8$	$1.517$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-95}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2^{3}$		$q+(-\zeta_{16}^{3}-\zeta_{16}^{5})q^{3}+\zeta_{16}^{4}q^{5}+\cdots$
3040.1.cc.a	$3040$	$1$	3040.cc	760.am	$6$	$2$	$1$	$1.517$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$-1$	$2$		$1$		$q-\zeta_{6}q^{5}+q^{7}+\zeta_{6}^{2}q^{9}+q^{11}+\zeta_{6}^{2}q^{13}+\cdots$
3040.1.cc.b	$3040$	$1$	3040.cc	760.am	$6$	$2$	$1$	$1.517$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$1$	$-2$		$1$		$q+\zeta_{6}q^{5}-q^{7}+\zeta_{6}^{2}q^{9}+q^{11}-\zeta_{6}^{2}q^{13}+\cdots$
3040.1.cn.a	$3040$	$1$	3040.cn	3040.bn	$8$	$32$	$8$	$1.517$	$\Q(\zeta_{64})$	$D_{32}$	$\Q(\sqrt{-95}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{64}^{27}q^{2}+(-\zeta_{64}^{25}-\zeta_{64}^{31}+\cdots)q^{3}+\cdots$
3040.1.dv.a	$3040$	$1$	3040.dv	760.az	$18$	$6$	$1$	$1.517$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{18}^{7}q^{5}+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{7}+\zeta_{18}^{8}q^{9}+\cdots$
3040.1.dv.b	$3040$	$1$	3040.dv	760.az	$18$	$6$	$1$	$1.517$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{18}^{7}q^{5}+(-\zeta_{18}^{4}-\zeta_{18}^{8})q^{7}+\cdots$
3040.2.a.a	$3040$	$2$	3040.a	1.a	$1$	$1$	$1$	$24.275$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}-2q^{9}+5q^{13}+\cdots$
3040.2.a.b	$3040$	$2$	3040.a	1.a	$1$	$1$	$1$	$24.275$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}-3q^{9}+4q^{11}-4q^{13}+\cdots$
3040.2.a.c	$3040$	$2$	3040.a	1.a	$1$	$1$	$1$	$24.275$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-3q^{9}-4q^{11}-4q^{13}+\cdots$
3040.2.a.d	$3040$	$2$	3040.a	1.a	$1$	$1$	$1$	$24.275$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-3q^{7}-2q^{9}+5q^{13}+\cdots$
3040.2.a.e	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-2$	$5$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}-q^{5}+(2+\beta )q^{7}+(1+\beta )q^{9}+\cdots$
3040.2.a.f	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$2$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{5}-\beta q^{7}-3q^{9}-4q^{11}+(2+\beta )q^{13}+\cdots$
3040.2.a.g	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$2$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{5}+\beta q^{7}-3q^{9}+4q^{11}+(2+\beta )q^{13}+\cdots$
3040.2.a.h	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-2$	$-5$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots$
3040.2.a.i	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-4$	$-3$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{3}-q^{5}+(-1-\beta _{1}+\beta _{2})q^{7}+\cdots$
3040.2.a.j	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-4$	$3$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{3}+q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots$
3040.2.a.k	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.564.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$-3$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}-q^{5}+(1-\beta _{2})q^{7}+\cdots$
3040.2.a.l	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}+q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots$
3040.2.a.m	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$3$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots$
3040.2.a.n	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.564.1	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$-3$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}-q^{5}+(-1+\beta _{2})q^{7}+\cdots$
3040.2.a.o	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	$_{}$	None	None	✓	$1$	$0$	$0$	$4$	$-3$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{1})q^{3}-q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots$
3040.2.a.p	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	$_{}$	None	None	✓	$1$	$0$	$0$	$4$	$3$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots$
3040.2.a.q	$3040$	$2$	3040.a	1.a	$1$	$4$	$4$	$24.275$	4.4.78292.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-4$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-q^{5}+(1+\beta _{2})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$
3040.2.a.r	$3040$	$2$	3040.a	1.a	$1$	$4$	$4$	$24.275$	4.4.17428.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$4$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+q^{5}+(-1-\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots$
3040.2.a.s	$3040$	$2$	3040.a	1.a	$1$	$4$	$4$	$24.275$	4.4.78292.1	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-4$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}-q^{5}+(-1-\beta _{2})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$
3040.2.a.t	$3040$	$2$	3040.a	1.a	$1$	$4$	$4$	$24.275$	4.4.17428.1	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$4$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+q^{5}+(1+\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots$
3040.2.a.u	$3040$	$2$	3040.a	1.a	$1$	$5$	$5$	$24.275$	5.5.387268.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-4$	$-5$	$4$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta _{1})q^{3}-q^{5}+(1+\beta _{4})q^{7}+\cdots$
3040.2.a.v	$3040$	$2$	3040.a	1.a	$1$	$5$	$5$	$24.275$	5.5.2363492.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$5$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+q^{5}+\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots$
3040.2.a.w	$3040$	$2$	3040.a	1.a	$1$	$5$	$5$	$24.275$	5.5.2363492.1	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$5$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+q^{5}-\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots$
3040.2.a.x	$3040$	$2$	3040.a	1.a	$1$	$5$	$5$	$24.275$	5.5.387268.1	$_{}$	None	None	✓	$1$	$1$	$0$	$4$	$-5$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta _{1})q^{3}-q^{5}+(-1-\beta _{4})q^{7}+\cdots$
3040.2.e.a	$3040$	$2$	3040.e	152.b	$2$	$80$	$80$	$24.275$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
3040.2.f.a	$3040$	$2$	3040.f	8.b	$2$	$28$	$28$	$24.275$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-4$			$\mathrm{SU}(2)[C_{2}]$
3040.2.f.b	$3040$	$2$	3040.f	8.b	$2$	$44$	$44$	$24.275$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-4$			$\mathrm{SU}(2)[C_{2}]$
3040.2.j.a	$3040$	$2$	3040.j	76.d	$2$	$4$	$4$	$24.275$	$\Q(\zeta_{8})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$4$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{5}+(-\zeta_{8}+\zeta_{8}^{2})q^{7}-3q^{9}+(\zeta_{8}+\cdots)q^{11}+\cdots$
3040.2.j.b	$3040$	$2$	3040.j	76.d	$2$	$4$	$4$	$24.275$	$\Q(\zeta_{8})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$4$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+\zeta_{8}^{3}q^{3}+q^{5}+4\zeta_{8}q^{7}-q^{9}+4\zeta_{8}q^{11}+\cdots$
3040.2.j.c	$3040$	$2$	3040.j	76.d	$2$	$4$	$4$	$24.275$	$\Q(\zeta_{8})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$4$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-\zeta_{8}-\zeta_{8}^{2})q^{3}+q^{5}+(\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{7}+\cdots$
3040.2.j.d	$3040$	$2$	3040.j	76.d	$2$	$8$	$8$	$24.275$	$\Q(\zeta_{24})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$8$	$0$		$2^{10}$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{24}q^{3}+q^{5}-\zeta_{24}^{7}q^{7}+(\zeta_{24}^{2}+\cdots)q^{11}+\cdots$
3040.2.j.e	$3040$	$2$	3040.j	76.d	$2$	$20$	$20$	$24.275$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$20$	$0$		$2^{32}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{4}q^{3}+q^{5}+\beta _{7}q^{7}+(1-\beta _{3})q^{9}+\cdots$
3040.2.j.f	$3040$	$2$	3040.j	76.d	$2$	$40$	$40$	$24.275$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-40$	$0$			$\mathrm{SU}(2)[C_{2}]$

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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.