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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 77 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				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
43.2.g.a	$43$	$2$	43.g	43.g	$21$	$36$	$3$	$0.343$		$_{}$	None	None		$2$	$0$	$-10$	$-16$	$-17$	$6$		$\mathrm{SU}(2)[C_{21}]$
713.1.t.a	$713$	$1$	713.t	713.t	$30$	$24$	$3$	$0.356$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{90}^{25}-\zeta_{90}^{29})q^{2}+(\zeta_{90}^{2}-\zeta_{90}^{19}+\cdots)q^{3}+\cdots$
47.2.c.a	$47$	$2$	47.c	47.c	$23$	$66$	$3$	$0.375$		$_{}$	None	None		$2$	$0$	$-21$	$-19$	$-15$	$-19$		$\mathrm{SU}(2)[C_{23}]$
23.3.d.a	$23$	$3$	23.d	23.d	$22$	$30$	$3$	$0.627$		$_{}$	None	None		$2$	$0$	$-11$	$-11$	$-11$	$-11$		$\mathrm{SU}(2)[C_{22}]$
1519.1.ce.a	$1519$	$1$	1519.ce	1519.be	$42$	$36$	$3$	$0.758$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{126}^{43}-\zeta_{126}^{59})q^{2}+(-\zeta_{126}^{23}+\cdots)q^{4}+\cdots$
1679.1.ba.a	$1679$	$1$	1679.ba	1679.aa	$36$	$36$	$3$	$0.838$	$\Q(\zeta_{108})$	$D_{108}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{108}-\zeta_{108}^{5})q^{2}+(-\zeta_{108}^{28}+\zeta_{108}^{44}+\cdots)q^{3}+\cdots$
1863.1.s.a	$1863$	$1$	1863.s	1863.s	$54$	$54$	$3$	$0.930$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{162}^{4}-\zeta_{162}^{11})q^{2}+\zeta_{162}^{28}q^{3}+\cdots$
118.2.c.b	$118$	$2$	118.c	59.c	$29$	$84$	$3$	$0.942$		$_{}$	None	None		$2$	$0$	$-3$	$-5$	$-5$	$-8$		$\mathrm{SU}(2)[C_{29}]$
129.2.m.a	$129$	$2$	129.m	43.g	$21$	$36$	$3$	$1.030$		$_{}$	None	None		$2$	$0$	$2$	$-3$	$3$	$-11$		$\mathrm{SU}(2)[C_{21}]$
2077.1.cg.a	$2077$	$1$	2077.cg	2077.bg	$66$	$60$	$3$	$1.037$	$\Q(\zeta_{99})$	$D_{99}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{198}^{4}-\zeta_{198}^{11})q^{2}+(\zeta_{198}^{8}-\zeta_{198}^{15}+\cdots)q^{4}+\cdots$
2139.1.bk.a	$2139$	$1$	2139.bk	2139.ak	$30$	$24$	$3$	$1.068$	$\Q(\zeta_{45})$	$D_{90}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{90}^{28}-\zeta_{90}^{35})q^{2}-\zeta_{90}^{19}q^{3}+\cdots$
2139.1.bk.b	$2139$	$1$	2139.bk	2139.ak	$30$	$24$	$3$	$1.068$	$\Q(\zeta_{45})$	$D_{90}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{90}^{28}+\zeta_{90}^{35})q^{2}+\zeta_{90}^{23}q^{3}+\cdots$
134.2.g.b	$134$	$2$	134.g	67.g	$33$	$60$	$3$	$1.070$		$_{}$	None	None		$2$	$0$	$3$	$0$	$0$	$-3$		$\mathrm{SU}(2)[C_{33}]$
142.2.g.a	$142$	$2$	142.g	71.g	$35$	$72$	$3$	$1.134$		$_{}$	None	None		$2$	$0$	$-3$	$-5$	$2$	$-4$		$\mathrm{SU}(2)[C_{35}]$
142.2.g.b	$142$	$2$	142.g	71.g	$35$	$72$	$3$	$1.134$		$_{}$	None	None		$2$	$0$	$3$	$-5$	$2$	$4$		$\mathrm{SU}(2)[C_{35}]$
158.2.g.a	$158$	$2$	158.g	79.g	$39$	$72$	$3$	$1.262$		$_{}$	None	None		$2$	$0$	$-3$	$-1$	$14$	$-4$		$\mathrm{SU}(2)[C_{39}]$
158.2.g.b	$158$	$2$	158.g	79.g	$39$	$72$	$3$	$1.262$		$_{}$	None	None		$2$	$0$	$3$	$1$	$-14$	$0$		$\mathrm{SU}(2)[C_{39}]$
2573.1.p.a	$2573$	$1$	2573.p	2573.p	$30$	$24$	$3$	$1.284$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-83}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{90}^{25}-\zeta_{90}^{41})q^{3}-\zeta_{90}^{9}q^{4}+\cdots$
166.2.c.a	$166$	$2$	166.c	83.c	$41$	$120$	$3$	$1.326$		$_{}$	None	None		$2$	$0$	$3$	$3$	$-1$	$2$		$\mathrm{SU}(2)[C_{41}]$
178.2.g.a	$178$	$2$	178.g	89.g	$44$	$60$	$3$	$1.421$		$_{}$	None	None		$2$	$0$	$-6$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{44}]$
2852.1.bn.a	$2852$	$1$	2852.bn	2852.an	$30$	$24$	$3$	$1.423$	$\Q(\zeta_{45})$	$D_{90}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{90}^{29}q^{2}+(-\zeta_{90}^{2}+\zeta_{90}^{19})q^{3}+\cdots$
2852.1.bn.b	$2852$	$1$	2852.bn	2852.an	$30$	$24$	$3$	$1.423$	$\Q(\zeta_{45})$	$D_{90}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{90}^{10}q^{2}+(\zeta_{90}^{22}+\zeta_{90}^{26})q^{3}+\cdots$
2921.1.y.a	$2921$	$1$	2921.y	2921.y	$42$	$36$	$3$	$1.458$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{126}+\zeta_{126}^{26})q^{2}+(\zeta_{126}^{8}+\zeta_{126}^{16}+\cdots)q^{3}+\cdots$
2945.1.fg.a	$2945$	$1$	2945.fg	2945.eg	$36$	$36$	$3$	$1.470$	$\Q(\zeta_{108})$	$D_{108}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{108}^{7}+\zeta_{108}^{8})q^{2}+(\zeta_{108}^{14}+\zeta_{108}^{15}+\cdots)q^{4}+\cdots$
2945.1.fg.b	$2945$	$1$	2945.fg	2945.eg	$36$	$36$	$3$	$1.470$	$\Q(\zeta_{108})$	$D_{108}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{108}^{7}+\zeta_{108}^{50})q^{2}+(-\zeta_{108}^{3}+\zeta_{108}^{14}+\cdots)q^{4}+\cdots$
194.2.k.a	$194$	$2$	194.k	97.k	$48$	$48$	$3$	$1.549$		$_{}$	None	None		$2$	$0$	$0$	$0$	$8$	$0$		$\mathrm{SU}(2)[C_{48}]$
58.3.f.b	$58$	$3$	58.f	29.f	$28$	$36$	$3$	$1.580$		$_{}$	None	None		$2$	$0$	$6$	$4$	$-28$	$-34$		$\mathrm{SU}(2)[C_{28}]$
3224.1.he.a	$3224$	$1$	3224.he	3224.ge	$30$	$24$	$3$	$1.609$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$-6$	$0$	$0$	$0$	$1$		$q-\zeta_{90}^{27}q^{2}+(-\zeta_{90}^{11}+\zeta_{90}^{40}+\cdots)q^{3}+\cdots$
3224.1.he.b	$3224$	$1$	3224.he	3224.ge	$30$	$24$	$3$	$1.609$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-26}) $	None		$4$	$0$	$6$	$0$	$0$	$0$	$1$		$q+\zeta_{90}^{27}q^{2}+(-\zeta_{90}^{11}+\zeta_{90}^{40}+\cdots)q^{3}+\cdots$
3379.1.cy.a	$3379$	$1$	3379.cy	3379.by	$54$	$54$	$3$	$1.686$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{5}+\zeta_{162}^{58})q^{2}+(\zeta_{162}^{10}-\zeta_{162}^{35}+\cdots)q^{4}+\cdots$
3379.1.de.a	$3379$	$1$	3379.de	3379.ce	$54$	$54$	$3$	$1.686$	$\Q(\zeta_{162})$	$D_{162}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{5}-\zeta_{162}^{58})q^{2}+(\zeta_{162}^{10}-\zeta_{162}^{35}+\cdots)q^{4}+\cdots$
3596.1.cd.a	$3596$	$1$	3596.cd	3596.bd	$30$	$24$	$3$	$1.795$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-29}) $	None		$4$	$0$	$-6$	$0$	$0$	$0$	$1$		$q+\zeta_{90}^{36}q^{2}+(\zeta_{90}^{14}-\zeta_{90}^{19})q^{3}+\cdots$
3596.1.cd.b	$3596$	$1$	3596.cd	3596.bd	$30$	$24$	$3$	$1.795$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-29}) $	None		$4$	$0$	$6$	$0$	$0$	$0$	$1$		$q-\zeta_{90}^{36}q^{2}+(-\zeta_{90}^{14}+\zeta_{90}^{19}+\cdots)q^{3}+\cdots$
3887.1.bd.a	$3887$	$1$	3887.bd	3887.ad	$78$	$72$	$3$	$1.940$	$\Q(\zeta_{117})$	$D_{234}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{234}^{7}+\zeta_{234}^{8})q^{2}+(-\zeta_{234}^{50}+\zeta_{234}^{55}+\cdots)q^{3}+\cdots$
3887.1.bf.a	$3887$	$1$	3887.bf	3887.af	$78$	$72$	$3$	$1.940$	$\Q(\zeta_{117})$	$D_{117}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{234}^{7}+\zeta_{234}^{8})q^{2}+(\zeta_{234}^{50}-\zeta_{234}^{55}+\cdots)q^{3}+\cdots$
74.3.i.a	$74$	$3$	74.i	37.i	$36$	$36$	$3$	$2.016$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{36}]$
82.3.h.a	$82$	$3$	82.h	41.h	$40$	$48$	$3$	$2.234$		$_{}$	None	None		$2$	$0$	$12$	$12$	$0$	$-20$		$\mathrm{SU}(2)[C_{40}]$
294.2.m.c	$294$	$2$	294.m	49.g	$21$	$36$	$3$	$2.348$		$_{}$	None	None		$2$	$0$	$-3$	$3$	$2$	$-5$		$\mathrm{SU}(2)[C_{21}]$
294.2.m.d	$294$	$2$	294.m	49.g	$21$	$36$	$3$	$2.348$		$_{}$	None	None		$2$	$0$	$3$	$-3$	$0$	$-1$		$\mathrm{SU}(2)[C_{21}]$
354.2.e.c	$354$	$2$	354.e	59.c	$29$	$84$	$3$	$2.827$		$_{}$	None	None		$2$	$0$	$-3$	$3$	$0$	$1$		$\mathrm{SU}(2)[C_{29}]$
354.2.e.d	$354$	$2$	354.e	59.c	$29$	$84$	$3$	$2.827$		$_{}$	None	None		$2$	$0$	$3$	$-3$	$-2$	$-7$		$\mathrm{SU}(2)[C_{29}]$
387.2.y.b	$387$	$2$	387.y	43.g	$21$	$36$	$3$	$3.090$		$_{}$	None	None		$2$	$0$	$-2$	$0$	$-3$	$-11$		$\mathrm{SU}(2)[C_{21}]$
387.2.y.c	$387$	$2$	387.y	43.g	$21$	$36$	$3$	$3.090$		$_{}$	None	None		$2$	$0$	$10$	$0$	$17$	$6$		$\mathrm{SU}(2)[C_{21}]$
402.2.m.a	$402$	$2$	402.m	67.g	$33$	$60$	$3$	$3.210$		$_{}$	None	None		$2$	$0$	$-3$	$-6$	$-4$	$1$		$\mathrm{SU}(2)[C_{33}]$
402.2.m.b	$402$	$2$	402.m	67.g	$33$	$60$	$3$	$3.210$		$_{}$	None	None		$2$	$0$	$-3$	$6$	$4$	$-3$		$\mathrm{SU}(2)[C_{33}]$
402.2.m.c	$402$	$2$	402.m	67.g	$33$	$60$	$3$	$3.210$		$_{}$	None	None		$2$	$0$	$3$	$-6$	$0$	$1$		$\mathrm{SU}(2)[C_{33}]$
402.2.m.d	$402$	$2$	402.m	67.g	$33$	$60$	$3$	$3.210$		$_{}$	None	None		$2$	$0$	$3$	$6$	$0$	$1$		$\mathrm{SU}(2)[C_{33}]$
423.2.i.a	$423$	$2$	423.i	47.c	$23$	$66$	$3$	$3.378$		$_{}$	None	None		$2$	$0$	$21$	$0$	$15$	$-19$		$\mathrm{SU}(2)[C_{23}]$
426.2.m.a	$426$	$2$	426.m	71.g	$35$	$72$	$3$	$3.402$		$_{}$	None	None		$2$	$0$	$-3$	$-3$	$0$	$0$		$\mathrm{SU}(2)[C_{35}]$
426.2.m.b	$426$	$2$	426.m	71.g	$35$	$72$	$3$	$3.402$		$_{}$	None	None		$2$	$0$	$-3$	$3$	$0$	$4$		$\mathrm{SU}(2)[C_{35}]$

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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.