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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 113 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
183.1.d.a	$183$	$1$	183.d	183.d	$2$	$1$	$1$	$0.091$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-183}) $	$\Q(\sqrt{61}) $	✓	$4$	$0$	$0$	$1$	$0$	$0$		$1$		$q+q^{3}-q^{4}+q^{9}-q^{12}-2q^{13}+q^{16}+\cdots$
183.1.d.b	$183$	$1$	183.d	183.d	$2$	$2$	$2$	$0.091$	$\Q(\sqrt{2}) $	$D_{4}$	$\Q(\sqrt{-183}) $	None	✓	$4$	$0$	$0$	$-2$	$0$	$0$		$1$		$q-\beta q^{2}-q^{3}+q^{4}+\beta q^{6}+q^{9}+\beta q^{11}+\cdots$
183.1.l.a	$183$	$1$	183.l	183.l	$10$	$4$	$1$	$0.091$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-5$		$1$		$q-\zeta_{10}q^{3}-\zeta_{10}^{2}q^{4}+(-1-\zeta_{10}^{3}+\cdots)q^{7}+\cdots$
183.1.n.a	$183$	$1$	183.n	183.n	$10$	$4$	$1$	$0.091$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$3$		$1$		$q+\zeta_{10}^{4}q^{3}-\zeta_{10}^{3}q^{4}+(1+\zeta_{10}^{2}+\cdots)q^{7}+\cdots$
183.2.a.a	$183$	$2$	183.a	1.a	$1$	$2$	$2$	$1.461$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$-2$	$-2$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}-q^{5}+\cdots$
183.2.a.b	$183$	$2$	183.a	1.a	$1$	$3$	$3$	$1.461$	3.3.148.1	$_{}$	None	None	✓	$1$	$0$	$1$	$-3$	$6$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+2q^{5}+\cdots$
183.2.a.c	$183$	$2$	183.a	1.a	$1$	$6$	$6$	$1.461$	6.6.91407488.1	$_{}$	None	None	✓	$1$	$0$	$0$	$6$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots$
183.2.c.a	$183$	$2$	183.c	61.b	$2$	$2$	$2$	$1.461$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$-2$	$-6$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{3}+q^{4}-3q^{5}-iq^{6}+3iq^{7}+\cdots$
183.2.c.b	$183$	$2$	183.c	61.b	$2$	$2$	$2$	$1.461$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$-2$	$4$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-q^{3}+q^{4}+2q^{5}-iq^{6}-2iq^{7}+\cdots$
183.2.c.c	$183$	$2$	183.c	61.b	$2$	$6$	$6$	$1.461$	6.0.326479872.1	$_{}$	None	None		$2$	$0$	$0$	$6$	$-6$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+q^{3}+(-2+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots$
183.2.e.a	$183$	$2$	183.e	61.c	$3$	$2$	$1$	$1.461$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$1$	$2$	$-3$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}+q^{3}+\zeta_{6}q^{4}+(-3+3\zeta_{6})q^{5}+\cdots$
183.2.e.b	$183$	$2$	183.e	61.c	$3$	$4$	$2$	$1.461$	$\Q(\sqrt{-3}, \sqrt{5})$	$_{}$	None	None		$2$	$0$	$-3$	$4$	$4$	$-6$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\beta _{1}-\beta _{3})q^{2}+q^{3}+(3\beta _{1}+3\beta _{2}+\cdots)q^{4}+\cdots$
183.2.e.c	$183$	$2$	183.e	61.c	$3$	$4$	$2$	$1.461$	$\Q(\sqrt{-3}, \sqrt{5})$	$_{}$	None	None		$2$	$0$	$-1$	$-4$	$2$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots$
183.2.e.d	$183$	$2$	183.e	61.c	$3$	$6$	$3$	$1.461$	6.0.5938947.1	$_{}$	None	None		$2$	$0$	$-1$	$6$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{1}q^{2}+q^{3}+(-\beta _{3}-2\beta _{4}+\beta _{5})q^{4}+\cdots$
183.2.e.e	$183$	$2$	183.e	61.c	$3$	$6$	$3$	$1.461$	6.0.5938947.1	$_{}$	None	None		$2$	$0$	$2$	$-6$	$3$	$6$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\beta _{4}+\beta _{5})q^{2}-q^{3}+(\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$
183.2.g.a	$183$	$2$	183.g	183.g	$4$	$4$	$2$	$1.461$	$\Q(\zeta_{8})$	$_{}$	None	None		$2$	$1$	$-4$	$-4$	$-4$	$-8$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}+\cdots)q^{3}+\cdots$
183.2.g.b	$183$	$2$	183.g	183.g	$4$	$4$	$2$	$1.461$	$\Q(\zeta_{8})$	$_{}$	None	None		$2$	$0$	$4$	$4$	$4$	$-8$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+(1-\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(1+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\cdots$
183.2.g.c	$183$	$2$	183.g	183.g	$4$	$28$	$14$	$1.461$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{4}]$
183.2.h.a	$183$	$2$	183.h	61.e	$5$	$20$	$5$	$1.461$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	$_{}$	None	None		$2$	$0$	$1$	$5$	$6$	$-8$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\beta _{4}q^{2}+\beta _{11}q^{3}+(-\beta _{1}+\beta _{2}-\beta _{8}+\cdots)q^{4}+\cdots$
183.2.h.b	$183$	$2$	183.h	61.e	$5$	$28$	$7$	$1.461$		$_{}$	None	None		$2$	$0$	$-3$	$-7$	$2$	$10$			$\mathrm{SU}(2)[C_{5}]$
183.2.j.a	$183$	$2$	183.j	61.f	$6$	$2$	$1$	$1.461$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$2$	$0$	$6$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+q^{3}-2\zeta_{6}q^{4}+(2+2\zeta_{6})q^{7}+q^{9}+\cdots$
183.2.j.b	$183$	$2$	183.j	61.f	$6$	$4$	$2$	$1.461$	$\Q(\sqrt{-3}, \sqrt{-7})$	$_{}$	None	None		$2$	$0$	$-3$	$-4$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+(-1+\beta _{3})q^{2}-q^{3}+(\beta _{1}+\beta _{2}-2\beta _{3})q^{4}+\cdots$
183.2.j.c	$183$	$2$	183.j	61.f	$6$	$4$	$2$	$1.461$	$\Q(\sqrt{-3}, \sqrt{-7})$	$_{}$	None	None		$2$	$0$	$3$	$-4$	$-6$	$6$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+(1-\beta _{3})q^{2}-q^{3}+(\beta _{1}+\beta _{2}-2\beta _{3})q^{4}+\cdots$
183.2.j.d	$183$	$2$	183.j	61.f	$6$	$8$	$4$	$1.461$	$\Q(\zeta_{15})$	$_{}$	None	None		$2$	$0$	$0$	$8$	$0$	$-6$		$2^{4}$	$\mathrm{SU}(2)[C_{6}]$	$q+(\zeta_{15}^{3}-\zeta_{15}^{7})q^{2}+q^{3}+(1-\zeta_{15}+\cdots)q^{4}+\cdots$
183.2.m.a	$183$	$2$	183.m	61.g	$10$	$16$	$4$	$1.461$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$4$	$-3$	$10$		$1$	$\mathrm{SU}(2)[C_{10}]$	$q+(-\beta _{1}-\beta _{3}-\beta _{6}-\beta _{7}+\beta _{8}-\beta _{12}+\cdots)q^{2}+\cdots$
183.2.m.b	$183$	$2$	183.m	61.g	$10$	$24$	$6$	$1.461$		$_{}$	None	None		$2$	$0$	$0$	$-6$	$1$	$-20$			$\mathrm{SU}(2)[C_{10}]$
183.2.o.a	$183$	$2$	183.o	183.o	$12$	$4$	$1$	$1.461$	$\Q(\zeta_{12})$	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$		$1$	$\mathrm{U}(1)[D_{12}]$	$q+(-1+2\zeta_{12}^{2})q^{3}+2\zeta_{12}q^{4}+(-2+\cdots)q^{7}+\cdots$
183.2.o.b	$183$	$2$	183.o	183.o	$12$	$72$	$18$	$1.461$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-12$			$\mathrm{SU}(2)[C_{12}]$
183.2.q.a	$183$	$2$	183.q	61.i	$15$	$40$	$5$	$1.461$		$_{}$	None	None		$2$	$0$	$-1$	$10$	$-15$	$-7$			$\mathrm{SU}(2)[C_{15}]$
183.2.q.b	$183$	$2$	183.q	61.i	$15$	$48$	$6$	$1.461$		$_{}$	None	None		$2$	$0$	$3$	$-12$	$-11$	$2$			$\mathrm{SU}(2)[C_{15}]$
183.2.r.a	$183$	$2$	183.r	183.r	$20$	$144$	$18$	$1.461$		$_{}$	None	None		$4$	$0$	$0$	$-10$	$0$	$-8$			$\mathrm{SU}(2)[C_{20}]$
183.2.u.a	$183$	$2$	183.u	61.k	$30$	$16$	$2$	$1.461$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$-4$	$4$	$2$	$6$		$1$	$\mathrm{SU}(2)[C_{30}]$	$q+(-1+\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+2\beta _{8}+\cdots)q^{2}+\cdots$
183.2.u.b	$183$	$2$	183.u	61.k	$30$	$16$	$2$	$1.461$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$4$	$4$	$7$	$-7$		$1$	$\mathrm{SU}(2)[C_{30}]$	$q+(1-\beta _{1}-\beta _{5}-\beta _{6}+\beta _{7}+\beta _{10}-\beta _{11}+\cdots)q^{2}+\cdots$
183.2.u.c	$183$	$2$	183.u	61.k	$30$	$40$	$5$	$1.461$		$_{}$	None	None		$2$	$0$	$0$	$-10$	$5$	$0$			$\mathrm{SU}(2)[C_{30}]$
183.2.x.a	$183$	$2$	183.x	183.x	$60$	$16$	$1$	$1.461$	$\Q(\zeta_{60})$	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$2$		$1$	$\mathrm{U}(1)[D_{60}]$	$q+(2+2\zeta_{60}^{2}-\zeta_{60}^{6}-2\zeta_{60}^{8}-2\zeta_{60}^{10}+\cdots)q^{3}+\cdots$
183.2.x.b	$183$	$2$	183.x	183.x	$60$	$288$	$18$	$1.461$		$_{}$	None	None		$4$	$0$	$0$	$-20$	$0$	$-28$			$\mathrm{SU}(2)[C_{60}]$
183.3.b.a	$183$	$3$	183.b	3.b	$2$	$40$	$40$	$4.986$		$_{}$	None	None		$2$	$0$	$0$	$-2$	$0$	$8$			$\mathrm{SU}(2)[C_{2}]$
183.3.d.a	$183$	$3$	183.d	183.d	$2$	$4$	$4$	$4.986$	4.4.178608.1	$_{}$	$\Q(\sqrt{-183}) $	None	✓	$4$	$0$	$0$	$-12$	$0$	$0$		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	$q-\beta _{2}q^{2}-3q^{3}+(4-\beta _{3})q^{4}+3\beta _{2}q^{6}+\cdots$
183.3.d.b	$183$	$3$	183.d	183.d	$2$	$4$	$4$	$4.986$	4.4.140544.1	$_{}$	$\Q(\sqrt{-183}) $	None	✓	$4$	$0$	$0$	$12$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{2}]$	$q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots$
183.3.d.c	$183$	$3$	183.d	183.d	$2$	$32$	$32$	$4.986$		$_{}$	None	None		$4$	$0$	$0$	$-2$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
183.3.f.a	$183$	$3$	183.f	61.d	$4$	$40$	$20$	$4.986$		$_{}$	None	None		$2$	$0$	$4$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{4}]$
183.3.i.a	$183$	$3$	183.i	183.i	$6$	$2$	$1$	$4.986$	$\Q(\sqrt{-3}) $	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-6$	$0$	$-24$		$1$	$\mathrm{U}(1)[D_{6}]$	$q-3q^{3}+4\zeta_{6}q^{4}+(-8-8\zeta_{6})q^{7}+\cdots$
183.3.i.b	$183$	$3$	183.i	183.i	$6$	$76$	$38$	$4.986$		$_{}$	None	None		$4$	$0$	$0$	$2$	$0$	$30$			$\mathrm{SU}(2)[C_{6}]$
183.3.k.a	$183$	$3$	183.k	183.k	$6$	$2$	$1$	$4.986$	$\Q(\sqrt{-3}) $	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-6$	$0$	$-2$		$1$	$\mathrm{U}(1)[D_{6}]$	$q-3q^{3}+(-4+4\zeta_{6})q^{4}-2\zeta_{6}q^{7}+\cdots$
183.3.k.b	$183$	$3$	183.k	183.k	$6$	$76$	$38$	$4.986$		$_{}$	None	None		$4$	$0$	$0$	$2$	$0$	$-10$			$\mathrm{SU}(2)[C_{6}]$
183.3.l.a	$183$	$3$	183.l	183.l	$10$	$160$	$40$	$4.986$		$_{}$	None	None		$4$	$0$	$0$	$-3$	$0$	$-40$			$\mathrm{SU}(2)[C_{10}]$
183.3.n.a	$183$	$3$	183.n	183.n	$10$	$160$	$40$	$4.986$		$_{}$	None	None		$4$	$0$	$0$	$-3$	$0$	$12$			$\mathrm{SU}(2)[C_{10}]$
183.3.p.a	$183$	$3$	183.p	61.h	$12$	$40$	$10$	$4.986$		$_{}$	None	None		$2$	$0$	$4$	$0$	$-12$	$28$			$\mathrm{SU}(2)[C_{12}]$
183.3.p.b	$183$	$3$	183.p	61.h	$12$	$44$	$11$	$4.986$		$_{}$	None	None		$2$	$0$	$-8$	$0$	$-12$	$2$			$\mathrm{SU}(2)[C_{12}]$
183.3.s.a	$183$	$3$	183.s	61.j	$20$	$160$	$20$	$4.986$		$_{}$	None	None		$2$	$0$	$-4$	$0$	$40$	$-4$			$\mathrm{SU}(2)[C_{20}]$

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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.