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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 (42 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
712.1.y.a	$712$	$1$	712.y	712.y	$44$	$20$	$1$	$0.355$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$2$	$-2$	$0$	$0$	$1$		$q-\zeta_{44}^{20}q^{2}+(-\zeta_{44}^{3}+\zeta_{44}^{16})q^{3}+\cdots$
979.1.v.a	$979$	$1$	979.v	979.v	$44$	$20$	$1$	$0.489$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+(-\zeta_{44}^{11}-\zeta_{44}^{20})q^{3}+\zeta_{44}^{12}q^{4}+\cdots$
1265.1.bi.a	$1265$	$1$	1265.bi	1265.ai	$44$	$20$	$1$	$0.631$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(-\zeta_{44}^{2}+\zeta_{44}^{19})q^{3}-\zeta_{44}^{15}q^{4}+\cdots$
1265.1.bi.b	$1265$	$1$	1265.bi	1265.ai	$44$	$20$	$1$	$0.631$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(\zeta_{44}^{8}-\zeta_{44}^{13})q^{3}-\zeta_{44}^{15}q^{4}+\cdots$
1412.1.r.a	$1412$	$1$	1412.r	1412.r	$44$	$20$	$1$	$0.705$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$-2$	$0$	$1$		$q+\zeta_{44}^{14}q^{2}-\zeta_{44}^{6}q^{4}+(-\zeta_{44}+\zeta_{44}^{4}+\cdots)q^{5}+\cdots$
1424.1.bt.a	$1424$	$1$	1424.bt	356.n	$44$	$20$	$1$	$0.711$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{44}^{2}+\zeta_{44}^{8})q^{5}+\zeta_{44}^{19}q^{9}+(\zeta_{44}^{7}+\cdots)q^{13}+\cdots$
1449.1.bu.a	$1449$	$1$	1449.bu	483.w	$22$	$40$	$4$	$0.723$	$\Q(\zeta_{88})$	$D_{44}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{88}^{5}-\zeta_{88}^{7})q^{2}+(\zeta_{88}^{10}+\zeta_{88}^{12}+\cdots)q^{4}+\cdots$
1780.1.bq.a	$1780$	$1$	1780.bq	1780.aq	$44$	$20$	$1$	$0.888$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$-2$	$-2$	$0$	$2$	$1$		$q-\zeta_{44}^{2}q^{2}+(\zeta_{44}^{12}-\zeta_{44}^{13})q^{3}+\cdots$
1780.1.bq.b	$1780$	$1$	1780.bq	1780.aq	$44$	$20$	$1$	$0.888$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q+\zeta_{44}^{13}q^{2}-\zeta_{44}^{4}q^{4}+\zeta_{44}^{20}q^{5}+\cdots$
1780.1.bq.c	$1780$	$1$	1780.bq	1780.aq	$44$	$20$	$1$	$0.888$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{44}^{13}q^{2}-\zeta_{44}^{4}q^{4}+\zeta_{44}^{14}q^{5}+\cdots$
1780.1.bq.d	$1780$	$1$	1780.bq	1780.aq	$44$	$20$	$1$	$0.888$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$2$	$2$	$0$	$-2$	$1$		$q+\zeta_{44}^{2}q^{2}+(-\zeta_{44}^{12}+\zeta_{44}^{13})q^{3}+\cdots$
2185.1.bw.a	$2185$	$1$	2185.bw	2185.aw	$44$	$20$	$1$	$1.090$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$-2$	$-2$	$1$		$q-\zeta_{44}^{17}q^{4}+\zeta_{44}^{20}q^{5}+(\zeta_{44}^{16}+\cdots)q^{7}+\cdots$
2185.1.bw.b	$2185$	$1$	2185.bw	2185.aw	$44$	$20$	$1$	$1.090$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$2$	$2$	$1$		$q-\zeta_{44}^{17}q^{4}-\zeta_{44}^{16}q^{5}+(-\zeta_{44}^{5}+\cdots)q^{7}+\cdots$
2553.1.bh.d	$2553$	$1$	2553.bh	2553.ah	$22$	$40$	$4$	$1.274$	$\Q(\zeta_{88})$	$D_{44}$	$\Q(\sqrt{-111}) $	None		$8$	$0$	$0$	$4$	$0$	$0$	$1$		$q+(-\zeta_{88}^{7}-\zeta_{88}^{9})q^{2}+\zeta_{88}^{20}q^{3}+\cdots$
2576.1.cn.a	$2576$	$1$	2576.cn	2576.bn	$44$	$20$	$1$	$1.286$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{44}^{7}q^{2}+\zeta_{44}^{14}q^{4}-\zeta_{44}^{5}q^{7}+\cdots$
2576.1.cn.b	$2576$	$1$	2576.cn	2576.bn	$44$	$20$	$1$	$1.286$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{44}q^{2}+\zeta_{44}^{2}q^{4}+\zeta_{44}^{5}q^{7}-\zeta_{44}^{3}q^{8}+\cdots$
2576.1.cq.a	$2576$	$1$	2576.cq	2576.bq	$44$	$20$	$1$	$1.286$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{44}^{15}q^{2}-\zeta_{44}^{8}q^{4}-\zeta_{44}^{9}q^{7}+\cdots$
2576.1.cq.b	$2576$	$1$	2576.cq	2576.bq	$44$	$20$	$1$	$1.286$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{44}^{17}q^{2}-\zeta_{44}^{12}q^{4}-\zeta_{44}^{9}q^{7}+\cdots$
2613.1.cw.a	$2613$	$1$	2613.cw	2613.bw	$44$	$20$	$1$	$1.304$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{44}^{5}q^{3}-\zeta_{44}^{9}q^{4}+(\zeta_{44}^{12}-\zeta_{44}^{19}+\cdots)q^{7}+\cdots$
2613.1.cw.b	$2613$	$1$	2613.cw	2613.bw	$44$	$20$	$1$	$1.304$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q-\zeta_{44}^{5}q^{3}-\zeta_{44}^{9}q^{4}+(-\zeta_{44}-\zeta_{44}^{8}+\cdots)q^{7}+\cdots$
2672.1.i.b	$2672$	$1$	2672.i	2672.i	$4$	$20$	$10$	$1.334$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-167}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q-\zeta_{44}^{7}q^{2}+(\zeta_{44}^{5}+\zeta_{44}^{6})q^{3}+\zeta_{44}^{14}q^{4}+\cdots$
2824.1.bg.a	$2824$	$1$	2824.bg	2824.ag	$44$	$20$	$1$	$1.409$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$2$	$2$	$0$	$0$	$1$		$q-\zeta_{44}^{12}q^{2}+(-\zeta_{44}^{4}+\zeta_{44}^{5})q^{3}+\cdots$
2848.1.cc.a	$2848$	$1$	2848.cc	712.y	$44$	$20$	$1$	$1.421$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+(-\zeta_{44}-\zeta_{44}^{20})q^{3}+(\zeta_{44}^{2}-\zeta_{44}^{18}+\cdots)q^{9}+\cdots$
3204.1.bs.a	$3204$	$1$	3204.bs	356.n	$44$	$20$	$1$	$1.599$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q+\zeta_{44}^{8}q^{2}+\zeta_{44}^{16}q^{4}+(\zeta_{44}-\zeta_{44}^{3}+\cdots)q^{5}+\cdots$
3204.1.bs.b	$3204$	$1$	3204.bs	356.n	$44$	$20$	$1$	$1.599$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q-\zeta_{44}^{8}q^{2}+\zeta_{44}^{16}q^{4}+(-\zeta_{44}+\zeta_{44}^{3}+\cdots)q^{5}+\cdots$
3471.1.bx.a	$3471$	$1$	3471.bx	3471.ax	$22$	$40$	$4$	$1.732$	$\Q(\zeta_{88})$	$D_{44}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{88}^{23}+\zeta_{88}^{25})q^{2}-\zeta_{88}^{18}q^{3}+\cdots$
3524.1.w.a	$3524$	$1$	3524.w	3524.w	$44$	$20$	$1$	$1.759$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+\zeta_{44}^{6}q^{2}+\zeta_{44}^{12}q^{4}+(-\zeta_{44}^{7}+\cdots)q^{5}+\cdots$
3560.1.cy.a	$3560$	$1$	3560.cy	3560.by	$44$	$20$	$1$	$1.777$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$-2$	$0$	$0$	$-2$	$1$		$q-\zeta_{44}^{10}q^{2}+\zeta_{44}^{20}q^{4}+\zeta_{44}^{19}q^{5}+\cdots$
3560.1.cy.b	$3560$	$1$	3560.cy	3560.by	$44$	$20$	$1$	$1.777$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$2$	$0$	$0$	$2$	$1$		$q+\zeta_{44}^{10}q^{2}+\zeta_{44}^{20}q^{4}-\zeta_{44}^{19}q^{5}+\cdots$
3573.1.ce.a	$3573$	$1$	3573.ce	397.m	$44$	$20$	$1$	$1.783$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q-\zeta_{44}^{15}q^{4}+(\zeta_{44}^{9}+\zeta_{44}^{20})q^{7}+\cdots$
3680.1.co.a	$3680$	$1$	3680.co	115.i	$22$	$40$	$4$	$1.837$	$\Q(\zeta_{88})$	$D_{44}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{88}^{29}-\zeta_{88}^{31})q^{3}-\zeta_{88}^{6}q^{5}+\cdots$
3685.1.ce.a	$3685$	$1$	3685.ce	3685.be	$44$	$20$	$1$	$1.839$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(\zeta_{44}^{4}+\zeta_{44}^{17})q^{3}-\zeta_{44}^{9}q^{4}+\zeta_{44}^{15}q^{5}+\cdots$
3685.1.ce.b	$3685$	$1$	3685.ce	3685.be	$44$	$20$	$1$	$1.839$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+(\zeta_{44}^{6}+\zeta_{44}^{15})q^{3}-\zeta_{44}^{9}q^{4}+\zeta_{44}^{21}q^{5}+\cdots$
3795.1.cn.a	$3795$	$1$	3795.cn	3795.bn	$44$	$20$	$1$	$1.894$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{44}^{21}q^{3}+\zeta_{44}^{5}q^{4}+\zeta_{44}^{7}q^{5}+\cdots$
3795.1.cn.b	$3795$	$1$	3795.cn	3795.bn	$44$	$20$	$1$	$1.894$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{44}^{19}q^{3}+\zeta_{44}^{5}q^{4}-\zeta_{44}q^{5}+\cdots$
3795.1.cn.c	$3795$	$1$	3795.cn	3795.bn	$44$	$20$	$1$	$1.894$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+\zeta_{44}^{10}q^{3}+\zeta_{44}^{5}q^{4}+\zeta_{44}q^{5}+\cdots$
3795.1.cn.d	$3795$	$1$	3795.cn	3795.bn	$44$	$20$	$1$	$1.894$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q-\zeta_{44}^{8}q^{3}+\zeta_{44}^{5}q^{4}-\zeta_{44}^{7}q^{5}+\cdots$
3864.1.cx.a	$3864$	$1$	3864.cx	3864.bx	$22$	$40$	$4$	$1.928$	$\Q(\zeta_{88})$	$D_{44}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{88}^{42}q^{2}-\zeta_{88}^{23}q^{3}-\zeta_{88}^{40}q^{4}+\cdots$
3864.1.cx.b	$3864$	$1$	3864.cx	3864.bx	$22$	$40$	$4$	$1.928$	$\Q(\zeta_{88})$	$D_{44}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{88}^{6}q^{2}-\zeta_{88}^{11}q^{3}+\zeta_{88}^{12}q^{4}+\cdots$
3883.1.z.a	$3883$	$1$	3883.z	3883.z	$44$	$20$	$1$	$1.938$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$-2$	$0$	$1$		$q+(\zeta_{44}^{8}-\zeta_{44}^{19})q^{3}-\zeta_{44}^{6}q^{4}+(-\zeta_{44}^{2}+\cdots)q^{5}+\cdots$
3933.1.cn.a	$3933$	$1$	3933.cn	1311.z	$22$	$40$	$4$	$1.963$	$\Q(\zeta_{88})$	$D_{44}$	$\Q(\sqrt{-19}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{88}^{8}q^{4}+(\zeta_{88}^{23}+\zeta_{88}^{25})q^{5}+\cdots$
3963.1.bi.a	$3963$	$1$	3963.bi	3963.ai	$44$	$20$	$1$	$1.978$	$\Q(\zeta_{44})$	$D_{44}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$2$	$0$	$-2$	$1$		$q-\zeta_{44}^{20}q^{3}-q^{4}+(-\zeta_{44}^{2}-\zeta_{44}^{15}+\cdots)q^{7}+\cdots$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.