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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

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Results (1-50 of 99 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
2142.2.a.a	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-3$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots$
2142.2.a.b	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$
2142.2.a.c	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
2142.2.a.d	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{11}-2q^{13}+\cdots$
2142.2.a.e	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
2142.2.a.f	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
2142.2.a.g	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
2142.2.a.h	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$
2142.2.a.i	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
2142.2.a.j	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
2142.2.a.k	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$4$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{5}+q^{7}-q^{8}-4q^{10}+\cdots$
2142.2.a.l	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-4$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-4q^{10}+\cdots$
2142.2.a.m	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots$
2142.2.a.n	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots$
2142.2.a.o	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
2142.2.a.p	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
2142.2.a.q	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
2142.2.a.r	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
2142.2.a.s	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots$
2142.2.a.t	$2142$	$2$	2142.a	1.a	$1$	$1$	$1$	$17.104$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots$
2142.2.a.u	$2142$	$2$	2142.a	1.a	$1$	$2$	$2$	$17.104$	$\Q(\sqrt{10}) $	None	✓	$1$	$0$	$-2$	$0$	$-4$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
2142.2.a.v	$2142$	$2$	2142.a	1.a	$1$	$2$	$2$	$17.104$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$-2$	$0$	$-4$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
2142.2.a.w	$2142$	$2$	2142.a	1.a	$1$	$2$	$2$	$17.104$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-2$	$0$	$-3$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1-\beta )q^{5}-q^{7}-q^{8}+\cdots$
2142.2.a.x	$2142$	$2$	2142.a	1.a	$1$	$2$	$2$	$17.104$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta )q^{5}-q^{7}+q^{8}+\cdots$
2142.2.a.y	$2142$	$2$	2142.a	1.a	$1$	$2$	$2$	$17.104$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$2$	$0$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta q^{5}-q^{7}+q^{8}-\beta q^{10}+\cdots$
2142.2.a.z	$2142$	$2$	2142.a	1.a	$1$	$2$	$2$	$17.104$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$0$	$3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta )q^{5}+q^{7}+q^{8}+\cdots$
2142.2.a.ba	$2142$	$2$	2142.a	1.a	$1$	$2$	$2$	$17.104$	$\Q(\sqrt{10}) $	None	✓	$1$	$0$	$2$	$0$	$4$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots$
2142.2.a.bb	$2142$	$2$	2142.a	1.a	$1$	$3$	$3$	$17.104$	3.3.1016.1	None	✓	$1$	$0$	$-3$	$0$	$-1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}-q^{7}+\cdots$
2142.2.a.bc	$2142$	$2$	2142.a	1.a	$1$	$3$	$3$	$17.104$	3.3.1016.1	None	✓	$1$	$0$	$3$	$0$	$1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(\beta _{1}+\beta _{2})q^{5}-q^{7}+q^{8}+\cdots$
2142.2.b.a	$2142$	$2$	2142.b	17.b	$2$	$2$	$2$	$17.104$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+3iq^{5}+iq^{7}-q^{8}-3iq^{10}+\cdots$
2142.2.b.b	$2142$	$2$	2142.b	17.b	$2$	$2$	$2$	$17.104$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+3iq^{5}-iq^{7}-q^{8}-3iq^{10}+\cdots$
2142.2.b.c	$2142$	$2$	2142.b	17.b	$2$	$2$	$2$	$17.104$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2iq^{5}-iq^{7}-q^{8}-2iq^{10}+\cdots$
2142.2.b.d	$2142$	$2$	2142.b	17.b	$2$	$2$	$2$	$17.104$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+2iq^{5}+iq^{7}-q^{8}-2iq^{10}+\cdots$
2142.2.b.e	$2142$	$2$	2142.b	17.b	$2$	$2$	$2$	$17.104$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+iq^{7}+q^{8}+2q^{13}+iq^{14}+\cdots$
2142.2.b.f	$2142$	$2$	2142.b	17.b	$2$	$4$	$4$	$17.104$	$\Q(i, \sqrt{17})$	None		$2$	$0$	$4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{7}+q^{8}+\cdots$
2142.2.b.g	$2142$	$2$	2142.b	17.b	$2$	$6$	$6$	$17.104$	6.0.350464.1	None		$2$	$0$	$-6$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+(\beta _{1}-\beta _{3}-\beta _{4}+\beta _{5})q^{5}+\cdots$
2142.2.b.h	$2142$	$2$	2142.b	17.b	$2$	$8$	$8$	$17.104$	8.0.$\cdots$.1	None		$2$	$0$	$-8$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+(-\beta _{4}-\beta _{6})q^{5}-\beta _{4}q^{7}+\cdots$
2142.2.b.i	$2142$	$2$	2142.b	17.b	$2$	$8$	$8$	$17.104$	8.0.$\cdots$.1	None		$2$	$0$	$8$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+(-\beta _{4}-\beta _{6})q^{5}+\beta _{4}q^{7}+\cdots$
2142.2.b.j	$2142$	$2$	2142.b	17.b	$2$	$8$	$8$	$17.104$	8.0.$\cdots$.23	None		$2$	$0$	$8$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-\beta _{5}q^{5}-\beta _{3}q^{7}+q^{8}+\cdots$
2142.2.e.a	$2142$	$2$	2142.e	357.c	$2$	$48$	$48$	$17.104$		None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
2142.2.f.a	$2142$	$2$	2142.f	21.c	$2$	$24$	$24$	$17.104$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
2142.2.f.b	$2142$	$2$	2142.f	21.c	$2$	$24$	$24$	$17.104$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
2142.2.n.a	$2142$	$2$	2142.n	357.l	$4$	$48$	$24$	$17.104$		None		$4$	$0$	$-48$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
2142.2.n.b	$2142$	$2$	2142.n	357.l	$4$	$48$	$24$	$17.104$		None		$4$	$0$	$48$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
2142.2.p.a	$2142$	$2$	2142.p	17.c	$4$	$4$	$2$	$17.104$	$\Q(\zeta_{8})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+\zeta_{8}^{2}q^{2}-q^{4}+\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\cdots$
2142.2.p.b	$2142$	$2$	2142.p	17.c	$4$	$4$	$2$	$17.104$	$\Q(\zeta_{8})$	None		$2$	$0$	$0$	$0$	$8$	$0$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q-\zeta_{8}^{2}q^{2}-q^{4}+(2+\zeta_{8}+2\zeta_{8}^{2})q^{5}+\cdots$
2142.2.p.c	$2142$	$2$	2142.p	17.c	$4$	$8$	$4$	$17.104$	$\Q(\zeta_{16})$	None		$2$	$0$	$0$	$0$	$-8$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{4}]$	$q-\zeta_{16}^{3}q^{2}-q^{4}+(-1-\zeta_{16}^{3}+\zeta_{16}^{7})q^{5}+\cdots$
2142.2.p.d	$2142$	$2$	2142.p	17.c	$4$	$8$	$4$	$17.104$	8.0.836829184.2	None		$2$	$0$	$0$	$0$	$-4$	$0$		$2$	$\mathrm{SU}(2)[C_{4}]$	$q-\beta _{5}q^{2}-q^{4}+(-\beta _{1}+\beta _{4}-\beta _{5}+\beta _{6}+\cdots)q^{5}+\cdots$
2142.2.p.e	$2142$	$2$	2142.p	17.c	$4$	$8$	$4$	$17.104$	8.0.110166016.2	None		$2$	$0$	$0$	$0$	$4$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	$q+\beta _{5}q^{2}-q^{4}+(-\beta _{2}+\beta _{4}+\beta _{5})q^{5}+\cdots$
2142.2.p.f	$2142$	$2$	2142.p	17.c	$4$	$12$	$6$	$17.104$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	$q-\beta _{9}q^{2}-q^{4}+(-\beta _{6}-\beta _{8})q^{5}+\beta _{5}q^{7}+\cdots$

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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.