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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 458 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
124.1.i.a	$124$	$1$	124.i	124.i	$6$	$4$	$2$	$0.062$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots$
133.1.m.a	$133$	$1$	133.m	133.m	$6$	$4$	$2$	$0.066$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{5}q^{5}+\cdots$
171.1.o.a	$171$	$1$	171.o	171.o	$6$	$4$	$2$	$0.085$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$-2$	$-2$	$1$		$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{5}+\cdots$
201.1.g.a	$201$	$1$	201.g	201.g	$6$	$4$	$2$	$0.100$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{6}+\cdots$
209.1.h.a	$209$	$1$	209.h	209.h	$6$	$4$	$2$	$0.104$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$-2$	$-2$	$0$	$1$		$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{5}+\cdots$
219.1.j.b	$219$	$1$	219.j	219.j	$6$	$4$	$2$	$0.109$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{4}q^{6}+\cdots$
224.1.r.a	$224$	$1$	224.r	28.g	$6$	$4$	$2$	$0.112$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{3}q^{7}+\cdots$
273.1.s.b	$273$	$1$	273.s	273.s	$6$	$4$	$2$	$0.136$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{5}q^{5}+\cdots$
273.1.bm.b	$273$	$1$	273.bm	273.am	$6$	$4$	$2$	$0.136$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$4$	$1$		$q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{4}q^{6}+\cdots$
288.1.o.a	$288$	$1$	288.o	36.f	$6$	$4$	$2$	$0.144$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{5}+\zeta_{12}q^{7}-q^{9}+\cdots$
301.1.r.a	$301$	$1$	301.r	301.r	$6$	$4$	$2$	$0.150$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{5}-q^{6}+\cdots$
309.1.h.a	$309$	$1$	309.h	309.h	$6$	$4$	$2$	$0.154$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$-4$	$0$	$2$	$1$		$q-\zeta_{12}q^{2}-q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{6}+\cdots$
325.1.u.a	$325$	$1$	325.u	65.q	$12$	$8$	$2$	$0.162$	$\Q(\zeta_{24})$	$A_{4}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{24}^{5}q^{2}-\zeta_{24}^{11}q^{3}-\zeta_{24}^{4}q^{6}+\cdots$
344.1.l.b	$344$	$1$	344.l	344.l	$6$	$4$	$2$	$0.172$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{4}q^{3}-q^{4}-\zeta_{12}q^{5}+\cdots$
399.1.n.a	$399$	$1$	399.n	399.n	$6$	$4$	$2$	$0.199$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{3}q^{5}+\cdots$
399.1.bi.a	$399$	$1$	399.bi	399.ai	$6$	$4$	$2$	$0.199$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{5}q^{5}+\cdots$
403.1.p.a	$403$	$1$	403.p	403.p	$6$	$4$	$2$	$0.201$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-2$	$0$	$0$	$2$	$1$		$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}q^{6}-\zeta_{12}^{4}q^{7}+\cdots$
416.1.bb.a	$416$	$1$	416.bb	52.j	$6$	$4$	$2$	$0.208$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{7}-\zeta_{12}q^{11}+q^{13}+\cdots$
448.1.r.a	$448$	$1$	448.r	28.g	$6$	$4$	$2$	$0.224$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}+\cdots$
453.1.h.a	$453$	$1$	453.h	453.h	$6$	$4$	$2$	$0.226$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$-4$	$0$	$-2$	$1$		$q+\zeta_{12}^{5}q^{2}-q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{5}q^{6}+\cdots$
468.1.v.a	$468$	$1$	468.v	468.v	$6$	$4$	$2$	$0.234$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{12}q^{2}+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{4}q^{5}+\cdots$
468.1.y.a	$468$	$1$	468.y	468.y	$6$	$4$	$2$	$0.234$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{3}q^{3}-q^{4}-\zeta_{12}^{4}q^{5}+\cdots$
497.1.g.a	$497$	$1$	497.g	497.g	$6$	$4$	$2$	$0.248$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-2$	$2$	$-2$	$0$	$1$		$q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{4}q^{3}-\zeta_{12}^{2}q^{5}+\cdots$
504.1.ba.a	$504$	$1$	504.ba	504.aa	$6$	$4$	$2$	$0.252$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$
504.1.ce.a	$504$	$1$	504.ce	504.be	$6$	$4$	$2$	$0.252$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q-\zeta_{12}^{3}q^{2}-q^{3}-q^{4}+\zeta_{12}q^{5}+\zeta_{12}^{3}q^{6}+\cdots$
513.1.o.a	$513$	$1$	513.o	171.o	$6$	$4$	$2$	$0.256$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$2$	$-2$	$1$		$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{5}+\zeta_{12}^{4}q^{7}+\zeta_{12}^{3}q^{8}+\cdots$
532.1.n.a	$532$	$1$	532.n	532.n	$6$	$4$	$2$	$0.266$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$
532.1.bk.a	$532$	$1$	532.bk	532.ak	$6$	$4$	$2$	$0.266$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}+\zeta_{12}^{2}q^{6}+\cdots$
576.1.o.a	$576$	$1$	576.o	36.f	$6$	$4$	$2$	$0.287$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{5}-\zeta_{12}q^{7}-q^{9}+\cdots$
579.1.j.a	$579$	$1$	579.j	579.j	$6$	$4$	$2$	$0.289$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$-4$	$0$	$-2$	$1$		$q-\zeta_{12}q^{2}-q^{3}+\zeta_{12}q^{5}+\zeta_{12}q^{6}+\cdots$
581.1.g.a	$581$	$1$	581.g	581.g	$6$	$4$	$2$	$0.290$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$2$	$0$	$-4$	$1$		$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{6}+\cdots$
608.1.q.a	$608$	$1$	608.q	76.g	$6$	$4$	$2$	$0.303$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{5}-\zeta_{12}^{2}q^{13}+\cdots$
671.1.p.a	$671$	$1$	671.p	671.p	$6$	$4$	$2$	$0.335$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{5}-\zeta_{12}q^{7}+\zeta_{12}^{3}q^{8}+\cdots$
684.1.x.a	$684$	$1$	684.x	684.x	$6$	$4$	$2$	$0.341$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-4$	$0$	$2$	$0$	$1$		$q-q^{2}-\zeta_{12}^{3}q^{3}+q^{4}+\zeta_{12}^{2}q^{5}+\cdots$
684.1.bm.a	$684$	$1$	684.bm	684.am	$6$	$4$	$2$	$0.341$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$2$	$0$	$-4$	$0$	$1$		$q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$
688.1.r.a	$688$	$1$	688.r	172.g	$6$	$4$	$2$	$0.343$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q-\zeta_{12}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{3}q^{11}+\cdots$
693.1.o.a	$693$	$1$	693.o	693.o	$6$	$4$	$2$	$0.346$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{5}q^{6}+\cdots$
693.1.bl.a	$693$	$1$	693.bl	693.al	$6$	$4$	$2$	$0.346$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q-\zeta_{12}q^{2}-q^{3}+\zeta_{12}q^{6}-\zeta_{12}^{3}q^{7}+\cdots$
713.1.g.a	$713$	$1$	713.g	713.g	$6$	$4$	$2$	$0.356$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+\zeta_{12}^{4}q^{3}-q^{4}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{7}+\cdots$
728.1.bx.a	$728$	$1$	728.bx	728.ax	$6$	$4$	$2$	$0.363$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-4$	$-2$	$0$	$0$	$1$		$q-q^{2}-\zeta_{12}^{2}q^{3}+q^{4}+\zeta_{12}^{5}q^{5}+\cdots$
728.1.di.a	$728$	$1$	728.di	728.ci	$6$	$4$	$2$	$0.363$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$2$	$4$	$0$	$0$	$1$		$q-\zeta_{12}^{4}q^{2}+q^{3}-\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}+\cdots$
777.1.t.a	$777$	$1$	777.t	777.t	$6$	$4$	$2$	$0.388$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q-\zeta_{12}^{3}q^{3}+q^{4}-\zeta_{12}q^{5}-q^{7}-q^{9}+\cdots$
777.1.be.a	$777$	$1$	777.be	777.ae	$6$	$4$	$2$	$0.388$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}+\cdots$
819.1.cj.a	$819$	$1$	819.cj	819.bj	$6$	$4$	$2$	$0.409$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-2$	$0$	$0$	$4$	$1$		$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+\zeta_{12}q^{6}+\cdots$
819.1.ek.a	$819$	$1$	819.ek	819.dk	$6$	$4$	$2$	$0.409$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$4$	$0$	$0$	$-2$	$1$		$q+q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{6}+\cdots$
832.1.bb.b	$832$	$1$	832.bb	52.j	$6$	$4$	$2$	$0.415$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{7}-\zeta_{12}^{5}q^{11}+\cdots$
851.1.h.a	$851$	$1$	851.h	851.h	$6$	$4$	$2$	$0.425$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$2$	$-2$	$0$	$0$	$1$		$q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{3}+\zeta_{12}^{5}q^{5}+\cdots$
864.1.o.a	$864$	$1$	864.o	36.f	$6$	$4$	$2$	$0.431$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{5}q^{11}+\cdots$
872.1.o.a	$872$	$1$	872.o	872.o	$6$	$4$	$2$	$0.435$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{2}q^{3}-q^{4}+\zeta_{12}^{5}q^{5}+\cdots$
889.1.n.a	$889$	$1$	889.n	889.n	$6$	$4$	$2$	$0.444$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q-\zeta_{12}^{2}q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}^{3}q^{6}+\cdots$

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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.