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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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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
1511.1.b.b	$1511$	$1$	1511.b	1511.b	$2$	$21$	$21$	$0.754$	$\Q(\zeta_{98})^+$	$D_{49}$	$\Q(\sqrt{-1511}) $	None	✓	$2$	$0$	$0$	$-7$	$0$	$0$	$1$		$q-\beta _{19}q^{2}+\beta _{14}q^{3}+(1-\beta _{11})q^{4}+\cdots$
1847.1.b.a	$1847$	$1$	1847.b	1847.b	$2$	$21$	$21$	$0.922$	$\Q(\zeta_{86})^+$	$D_{43}$	$\Q(\sqrt{-1847}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$-1$	$1$		$q-\beta _{7}q^{2}-\beta _{13}q^{3}+(1+\beta _{14})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots$
2111.1.b.b	$2111$	$1$	2111.b	2111.b	$2$	$21$	$21$	$1.054$	$\Q(\zeta_{98})^+$	$D_{49}$	$\Q(\sqrt{-2111}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{19}q^{2}-\beta _{5}q^{3}+(1-\beta _{11})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$
144.2.u.a	$144$	$2$	144.u	144.u	$12$	$88$	$22$	$1.150$		$_{}$	None	None		$4$	$0$	$-6$	$-4$	$-6$	$-4$		$\mathrm{SU}(2)[C_{12}]$
2399.1.b.a	$2399$	$1$	2399.b	2399.b	$2$	$29$	$29$	$1.197$	$\Q(\zeta_{118})^+$	$D_{59}$	$\Q(\sqrt{-2399}) $	None	✓	$2$	$0$	$-1$	$-1$	$-1$	$-1$	$1$		$q-\beta _{5}q^{2}+\beta _{12}q^{3}+(1+\beta _{10})q^{4}+\beta _{16}q^{5}+\cdots$
160.2.u.a	$160$	$2$	160.u	160.u	$8$	$88$	$22$	$1.278$		$_{}$	None	None		$2$	$0$	$-4$	$-4$	$-4$	$0$		$\mathrm{SU}(2)[C_{8}]$
160.2.z.a	$160$	$2$	160.z	160.z	$8$	$88$	$22$	$1.278$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-4$	$0$		$\mathrm{SU}(2)[C_{8}]$
160.2.ba.a	$160$	$2$	160.ba	160.aa	$8$	$88$	$22$	$1.278$		$_{}$	None	None		$2$	$0$	$-4$	$-4$	$-4$	$-8$		$\mathrm{SU}(2)[C_{8}]$
2663.1.b.a	$2663$	$1$	2663.b	2663.b	$2$	$21$	$21$	$1.329$	$\Q(\zeta_{86})^+$	$D_{43}$	$\Q(\sqrt{-2663}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$-1$	$1$		$q-\beta _{7}q^{2}+\beta _{20}q^{3}+(1+\beta _{14})q^{4}+(-\beta _{13}+\cdots)q^{6}+\cdots$
168.2.v.a	$168$	$2$	168.v	168.v	$6$	$56$	$28$	$1.341$		$_{}$	None	None		$8$	$0$	$0$	$-2$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
168.2.ba.c	$168$	$2$	168.ba	168.aa	$6$	$48$	$24$	$1.341$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$-4$		$\mathrm{SU}(2)[C_{6}]$
2711.1.b.a	$2711$	$1$	2711.b	2711.b	$2$	$26$	$26$	$1.353$	$\Q(\zeta_{106})^+$	$D_{53}$	$\Q(\sqrt{-2711}) $	None	✓	$2$	$0$	$-1$	$-1$	$-1$	$0$	$1$		$q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots$
176.2.i.a	$176$	$2$	176.i	176.i	$4$	$44$	$22$	$1.405$		$_{}$	None	None		$4$	$0$	$0$	$-4$	$-4$	$0$		$\mathrm{SU}(2)[C_{4}]$
176.2.w.a	$176$	$2$	176.w	176.w	$20$	$176$	$22$	$1.405$		$_{}$	None	None		$4$	$0$	$-6$	$-6$	$-6$	$0$		$\mathrm{SU}(2)[C_{20}]$
176.2.x.a	$176$	$2$	176.x	176.x	$20$	$176$	$22$	$1.405$		$_{}$	None	None		$4$	$0$	$-10$	$-6$	$-6$	$-20$		$\mathrm{SU}(2)[C_{20}]$
180.2.n.d	$180$	$2$	180.n	180.n	$6$	$48$	$24$	$1.437$		$_{}$	None	None		$8$	$0$	$0$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{6}]$
180.2.q.a	$180$	$2$	180.q	36.h	$6$	$48$	$24$	$1.437$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
180.2.x.a	$180$	$2$	180.x	180.x	$12$	$128$	$32$	$1.437$		$_{}$	None	None		$8$	$0$	$-2$	$0$	$-4$	$0$		$\mathrm{SU}(2)[C_{12}]$
2903.1.b.a	$2903$	$1$	2903.b	2903.b	$2$	$29$	$29$	$1.449$	$\Q(\zeta_{118})^+$	$D_{59}$	$\Q(\sqrt{-2903}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$-1$	$1$		$q-\beta _{5}q^{2}-\beta _{19}q^{3}+(1+\beta _{10})q^{4}+(\beta _{14}+\cdots)q^{6}+\cdots$
184.2.j.a	$184$	$2$	184.j	184.j	$22$	$220$	$22$	$1.469$		$_{}$	None	None		$4$	$0$	$-11$	$-18$	$0$	$0$		$\mathrm{SU}(2)[C_{22}]$
184.2.p.a	$184$	$2$	184.p	184.p	$22$	$220$	$22$	$1.469$		$_{}$	None	None		$4$	$0$	$-11$	$0$	$0$	$-22$		$\mathrm{SU}(2)[C_{22}]$
2999.1.b.a	$2999$	$1$	2999.b	2999.b	$2$	$36$	$36$	$1.497$	$\Q(\zeta_{146})^+$	$D_{73}$	$\Q(\sqrt{-2999}) $	None	✓	$2$	$0$	$-1$	$-1$	$-1$	$-1$	$1$		$q-\beta _{1}q^{2}-\beta _{27}q^{3}+(1+\beta _{2})q^{4}-\beta _{33}q^{5}+\cdots$
188.2.h.a	$188$	$2$	188.h	188.h	$46$	$484$	$22$	$1.501$		$_{}$	None	None		$4$	$0$	$-21$	$0$	$-46$	$0$		$\mathrm{SU}(2)[C_{46}]$
3023.1.b.a	$3023$	$1$	3023.b	3023.b	$2$	$23$	$23$	$1.509$	$\Q(\zeta_{94})^+$	$D_{47}$	$\Q(\sqrt{-3023}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$-1$	$1$		$q-\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{7}+\cdots)q^{6}+\cdots$
189.2.u.a	$189$	$2$	189.u	189.u	$9$	$132$	$22$	$1.509$		$_{}$	None	None		$2$	$0$	$-3$	$-3$	$-3$	$-6$		$\mathrm{SU}(2)[C_{9}]$
189.2.w.a	$189$	$2$	189.w	189.w	$9$	$132$	$22$	$1.509$		$_{}$	None	None		$2$	$0$	$-3$	$-3$	$-3$	$-6$		$\mathrm{SU}(2)[C_{9}]$
189.2.ba.a	$189$	$2$	189.ba	189.aa	$18$	$132$	$22$	$1.509$		$_{}$	None	None		$2$	$0$	$-3$	$-9$	$-9$	$-6$		$\mathrm{SU}(2)[C_{18}]$
189.2.bd.a	$189$	$2$	189.bd	189.ad	$18$	$132$	$22$	$1.509$		$_{}$	None	None		$2$	$0$	$-3$	$-9$	$-9$	$-6$		$\mathrm{SU}(2)[C_{18}]$
189.2.be.a	$189$	$2$	189.be	189.ae	$18$	$132$	$22$	$1.509$		$_{}$	None	None		$4$	$0$	$-12$	$0$	$0$	$-6$		$\mathrm{SU}(2)[C_{18}]$
192.2.s.a	$192$	$2$	192.s	192.s	$16$	$240$	$30$	$1.533$		$_{}$	None	None		$4$	$0$	$0$	$-8$	$0$	$-16$		$\mathrm{SU}(2)[C_{16}]$
3119.1.b.d	$3119$	$1$	3119.b	3119.b	$2$	$22$	$22$	$1.557$	$\Q(\zeta_{69})^+$	$D_{69}$	$\Q(\sqrt{-3119}) $	None	✓	$2$	$0$	$1$	$-2$	$1$	$0$	$1$		$q+\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{9}+\cdots)q^{5}+\cdots$
195.2.m.a	$195$	$2$	195.m	15.e	$4$	$48$	$24$	$1.557$		$_{}$	None	None		$4$	$0$	$0$	$-4$	$0$	$-8$		$\mathrm{SU}(2)[C_{4}]$
195.2.n.a	$195$	$2$	195.n	195.n	$4$	$48$	$24$	$1.557$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{4}]$
195.2.bf.a	$195$	$2$	195.bf	195.af	$12$	$96$	$24$	$1.557$		$_{}$	None	None		$8$	$0$	$0$	$-2$	$0$	$-12$		$\mathrm{SU}(2)[C_{12}]$
195.2.bh.a	$195$	$2$	195.bh	195.ah	$12$	$96$	$24$	$1.557$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
195.2.bl.a	$195$	$2$	195.bl	195.al	$12$	$96$	$24$	$1.557$		$_{}$	None	None		$8$	$0$	$0$	$-2$	$0$	$-4$		$\mathrm{SU}(2)[C_{12}]$
196.2.j.a	$196$	$2$	196.j	196.j	$14$	$156$	$26$	$1.565$		$_{}$	None	None		$4$	$0$	$-5$	$0$	$-14$	$0$		$\mathrm{SU}(2)[C_{14}]$
196.2.p.a	$196$	$2$	196.p	196.p	$42$	$312$	$26$	$1.565$		$_{}$	None	None		$4$	$0$	$-13$	$0$	$-22$	$0$		$\mathrm{SU}(2)[C_{42}]$
3167.1.b.a	$3167$	$1$	3167.b	3167.b	$2$	$26$	$26$	$1.581$	$\Q(\zeta_{106})^+$	$D_{53}$	$\Q(\sqrt{-3167}) $	None	✓	$2$	$0$	$-1$	$-1$	$0$	$-1$	$1$		$q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots$
3191.1.b.c	$3191$	$1$	3191.b	3191.b	$2$	$22$	$22$	$1.593$	$\Q(\zeta_{69})^+$	$D_{69}$	$\Q(\sqrt{-3191}) $	None	✓	$2$	$0$	$1$	$1$	$1$	$-2$	$1$		$q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{21})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots$
200.2.o.a	$200$	$2$	200.o	200.o	$10$	$112$	$28$	$1.597$		$_{}$	None	None		$4$	$0$	$-5$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
200.2.t.a	$200$	$2$	200.t	200.t	$10$	$112$	$28$	$1.597$		$_{}$	None	None		$4$	$0$	$-3$	$0$	$0$	$-16$		$\mathrm{SU}(2)[C_{10}]$
200.2.v.c	$200$	$2$	200.v	200.v	$20$	$208$	$26$	$1.597$		$_{}$	None	None		$4$	$0$	$2$	$-16$	$0$	$0$		$\mathrm{SU}(2)[C_{20}]$
204.2.c.a	$204$	$2$	204.c	12.b	$2$	$32$	$32$	$1.629$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{2}]$
204.2.h.b	$204$	$2$	204.h	204.h	$2$	$24$	$24$	$1.629$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{2}]$
204.2.l.a	$204$	$2$	204.l	204.l	$4$	$64$	$32$	$1.629$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{4}]$
204.2.p.a	$204$	$2$	204.p	204.p	$8$	$128$	$32$	$1.629$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{8}]$
207.2.m.a	$207$	$2$	207.m	207.m	$33$	$440$	$22$	$1.653$		$_{}$	None	None		$4$	$0$	$-9$	$-20$	$-11$	$-9$		$\mathrm{SU}(2)[C_{33}]$
207.2.o.a	$207$	$2$	207.o	207.o	$66$	$440$	$22$	$1.653$		$_{}$	None	None		$4$	$0$	$-27$	$-16$	$-33$	$-11$		$\mathrm{SU}(2)[C_{66}]$
208.2.l.b	$208$	$2$	208.l	208.l	$4$	$50$	$25$	$1.661$		$_{}$	None	None		$2$	$0$	$-4$	$-6$	$0$	$-6$		$\mathrm{SU}(2)[C_{4}]$

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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.