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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 551 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
22.2.c.a	$22$	$2$	22.c	11.c	$5$	$4$	$1$	$0.176$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$-4$	$-6$	$2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots$
25.2.d.a	$25$	$2$	25.d	25.d	$5$	$4$	$1$	$0.200$	$\Q(\zeta_{10})$	None		$2$	$0$	$-2$	$-1$	$-5$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-\zeta_{10}+\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots$
31.2.d.a	$31$	$2$	31.d	31.d	$5$	$4$	$1$	$0.248$	$\Q(\zeta_{10})$	None		$2$	$0$	$-3$	$1$	$-6$	$-3$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1-\zeta_{10}^{2})q^{2}+(1-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{3}+\cdots$
33.2.e.a	$33$	$2$	33.e	11.c	$5$	$4$	$1$	$0.264$	$\Q(\zeta_{10})$	None		$2$	$0$	$-3$	$-1$	$-1$	$-3$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1-\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(\zeta_{10}+\cdots)q^{4}+\cdots$
33.2.e.b	$33$	$2$	33.e	11.c	$5$	$4$	$1$	$0.264$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$1$	$-3$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+2\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+\cdots$
44.2.e.a	$44$	$2$	44.e	11.c	$5$	$4$	$1$	$0.351$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$-1$	$3$	$-7$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}+2\zeta_{10}^{3})q^{3}+(1-\zeta_{10}^{3})q^{5}+\cdots$
50.2.d.a	$50$	$2$	50.d	25.d	$5$	$4$	$1$	$0.399$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$-1$	$5$	$-12$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-1+\cdots)q^{3}+\cdots$
66.2.e.a	$66$	$2$	66.e	11.c	$5$	$4$	$1$	$0.527$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$1$	$8$	$-6$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\zeta_{10}q^{2}+\zeta_{10}^{3}q^{3}+\zeta_{10}^{2}q^{4}+(2+\cdots)q^{5}+\cdots$
66.2.e.b	$66$	$2$	66.e	11.c	$5$	$4$	$1$	$0.527$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$-1$	$0$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\zeta_{10}q^{2}-\zeta_{10}^{3}q^{3}+\zeta_{10}^{2}q^{4}+(-2+\cdots)q^{5}+\cdots$
75.2.g.a	$75$	$2$	75.g	25.d	$5$	$4$	$1$	$0.599$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$-1$	$5$	$0$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
82.2.d.a	$82$	$2$	82.d	41.d	$5$	$4$	$1$	$0.655$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$6$	$4$	$-8$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
82.2.d.b	$82$	$2$	82.d	41.d	$5$	$4$	$1$	$0.655$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$2$	$2$	$4$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}^{2}+\cdots)q^{3}+\cdots$
88.2.i.a	$88$	$2$	88.i	11.c	$5$	$4$	$1$	$0.703$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$3$	$3$	$-3$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10})q^{3}+(1-\zeta_{10}^{3})q^{5}+(-\zeta_{10}+\cdots)q^{7}+\cdots$
99.2.f.a	$99$	$2$	99.f	11.c	$5$	$4$	$1$	$0.791$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$0$	$3$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+2\zeta_{10}-2\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
99.2.f.b	$99$	$2$	99.f	11.c	$5$	$4$	$1$	$0.791$	$\Q(\zeta_{10})$	None		$2$	$0$	$3$	$0$	$1$	$-3$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}^{3})q^{2}+(1-\zeta_{10})q^{4}+(1-2\zeta_{10}+\cdots)q^{5}+\cdots$
110.2.g.a	$110$	$2$	110.g	11.c	$5$	$4$	$1$	$0.878$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$4$	$1$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
110.2.g.b	$110$	$2$	110.g	11.c	$5$	$4$	$1$	$0.878$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$4$	$1$	$0$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots$
121.2.c.a	$121$	$2$	121.c	11.c	$5$	$4$	$1$	$0.966$	$\Q(\zeta_{10})$	None		$4$	$0$	$-2$	$1$	$-1$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-2+2\zeta_{10}-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots$
121.2.c.b	$121$	$2$	121.c	11.c	$5$	$4$	$1$	$0.966$	$\Q(\zeta_{10})$	None		$4$	$0$	$-1$	$-2$	$-1$	$2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
121.2.c.c	$121$	$2$	121.c	11.c	$5$	$4$	$1$	$0.966$	$\Q(\zeta_{10})$	$\Q(\sqrt{-11}) $		$8$	$0$	$0$	$1$	$3$	$0$	$1$	$\mathrm{U}(1)[D_{5}]$	$q-\zeta_{10}^{2}q^{3}+2\zeta_{10}^{3}q^{4}+3\zeta_{10}q^{5}+\cdots$
121.2.c.d	$121$	$2$	121.c	11.c	$5$	$4$	$1$	$0.966$	$\Q(\zeta_{10})$	None		$4$	$0$	$1$	$-2$	$-1$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+2\zeta_{10}^{2}q^{3}+\cdots$
121.2.c.e	$121$	$2$	121.c	11.c	$5$	$4$	$1$	$0.966$	$\Q(\zeta_{10})$	None		$4$	$0$	$2$	$1$	$-1$	$2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(2-2\zeta_{10}+2\zeta_{10}^{2}-2\zeta_{10}^{3})q^{2}+\cdots$
123.2.g.a	$123$	$2$	123.g	41.d	$5$	$4$	$1$	$0.982$	$\Q(\zeta_{10})$	None		$2$	$1$	$-5$	$-4$	$-8$	$-6$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
124.2.f.a	$124$	$2$	124.f	31.d	$5$	$4$	$1$	$0.990$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$-3$	$8$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}^{3})q^{3}+2q^{5}+(\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{7}+\cdots$
124.2.f.b	$124$	$2$	124.f	31.d	$5$	$4$	$1$	$0.990$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$5$	$-6$	$7$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}+(-1+\cdots)q^{5}+\cdots$
125.2.d.a	$125$	$2$	125.d	25.d	$5$	$4$	$1$	$0.998$	$\Q(\zeta_{10})$	None		$2$	$0$	$2$	$1$	$0$	$2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots$
131.2.c.a	$131$	$2$	131.c	131.c	$5$	$4$	$1$	$1.046$	$\Q(\zeta_{10})$	None		$2$	$0$	$-5$	$1$	$7$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
131.2.c.b	$131$	$2$	131.c	131.c	$5$	$4$	$1$	$1.046$	$\Q(\zeta_{10})$	None		$2$	$0$	$2$	$1$	$-6$	$2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots$
132.2.i.a	$132$	$2$	132.i	11.c	$5$	$4$	$1$	$1.054$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$-1$	$3$	$7$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\zeta_{10}^{3}q^{3}+(1-\zeta_{10}^{3})q^{5}+(2\zeta_{10}+\cdots)q^{7}+\cdots$
132.2.i.b	$132$	$2$	132.i	11.c	$5$	$4$	$1$	$1.054$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$1$	$-7$	$3$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\zeta_{10}^{3}q^{3}+(-1-2\zeta_{10}+2\zeta_{10}^{2}+\cdots)q^{5}+\cdots$
142.2.c.a	$142$	$2$	142.c	71.c	$5$	$4$	$1$	$1.134$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$-3$	$3$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-1+\cdots)q^{3}+\cdots$
143.2.h.a	$143$	$2$	143.h	11.c	$5$	$4$	$1$	$1.142$	$\Q(\zeta_{10})$	None		$2$	$1$	$-5$	$-4$	$-4$	$-8$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
150.2.g.a	$150$	$2$	150.g	25.d	$5$	$4$	$1$	$1.198$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$1$	$5$	$6$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
150.2.g.b	$150$	$2$	150.g	25.d	$5$	$4$	$1$	$1.198$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$1$	$5$	$8$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{3}q^{3}+\cdots$
154.2.f.a	$154$	$2$	154.f	11.c	$5$	$4$	$1$	$1.230$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$1$	$-1$	$-1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
154.2.f.b	$154$	$2$	154.f	11.c	$5$	$4$	$1$	$1.230$	$\Q(\zeta_{10})$	None		$2$	$0$	$-1$	$5$	$3$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
154.2.f.c	$154$	$2$	154.f	11.c	$5$	$4$	$1$	$1.230$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$-2$	$-2$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\cdots)q^{3}+\cdots$
154.2.f.d	$154$	$2$	154.f	11.c	$5$	$4$	$1$	$1.230$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$5$	$-1$	$1$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(2\zeta_{10}+\cdots)q^{3}+\cdots$
22.4.c.a	$22$	$4$	22.c	11.c	$5$	$4$	$1$	$1.298$	$\Q(\zeta_{10})$	None		$2$	$0$	$-2$	$-1$	$3$	$25$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q-2\zeta_{10}q^{2}+(-3+3\zeta_{10}+8\zeta_{10}^{3})q^{3}+\cdots$
175.2.h.a	$175$	$2$	175.h	25.d	$5$	$4$	$1$	$1.397$	$\Q(\zeta_{10})$	None		$2$	$1$	$-5$	$-4$	$-5$	$-4$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$
176.2.m.a	$176$	$2$	176.m	11.c	$5$	$4$	$1$	$1.405$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$-3$	$3$	$3$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}+(1+\zeta_{10}^{2}+\cdots)q^{5}+\cdots$
176.2.m.b	$176$	$2$	176.m	11.c	$5$	$4$	$1$	$1.405$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$1$	$3$	$7$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+(1+\zeta_{10}^{2}+\cdots)q^{5}+\cdots$
176.2.m.c	$176$	$2$	176.m	11.c	$5$	$4$	$1$	$1.405$	$\Q(\zeta_{10})$	None		$2$	$0$	$0$	$4$	$-6$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(\zeta_{10}-2\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+(-2+\cdots)q^{5}+\cdots$
181.2.e.a	$181$	$2$	181.e	181.e	$5$	$4$	$1$	$1.445$	$\Q(\zeta_{10})$	None		$2$	$0$	$2$	$1$	$-6$	$-8$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+(-1+2\zeta_{10}-2\zeta_{10}^{2}+\cdots)q^{3}+\cdots$
186.2.f.a	$186$	$2$	186.f	31.d	$5$	$4$	$1$	$1.485$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$-1$	$2$	$7$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+\cdots$
186.2.f.b	$186$	$2$	186.f	31.d	$5$	$4$	$1$	$1.485$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$1$	$-4$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\zeta_{10}q^{2}+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}+\cdots$
187.2.g.a	$187$	$2$	187.g	11.c	$5$	$4$	$1$	$1.493$	$\Q(\zeta_{10})$	None		$2$	$1$	$-2$	$-5$	$-5$	$-8$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-\zeta_{10}+\zeta_{10}^{2})q^{2}+(-2\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{3}+\cdots$
187.2.g.b	$187$	$2$	187.g	11.c	$5$	$4$	$1$	$1.493$	$\Q(\zeta_{10})$	None		$2$	$0$	$2$	$-4$	$-1$	$-8$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+(-\zeta_{10}+2\zeta_{10}^{2}+\cdots)q^{3}+\cdots$
187.2.g.c	$187$	$2$	187.g	11.c	$5$	$4$	$1$	$1.493$	$\Q(\zeta_{10})$	None		$2$	$0$	$5$	$-1$	$2$	$-2$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\cdots)q^{3}+\cdots$
191.2.c.a	$191$	$2$	191.c	191.c	$5$	$4$	$1$	$1.525$	$\Q(\zeta_{10})$	None		$2$	$0$	$1$	$5$	$-4$	$-7$	$1$	$\mathrm{SU}(2)[C_{5}]$	$q+\zeta_{10}q^{2}+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}+\cdots$

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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.