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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 373 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
45.2.l.a	$45$	$2$	45.l	45.l	$12$	$16$	$4$	$0.359$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$4$	$0$	$-6$	$-6$	$-6$	$-2$	$1$	$\mathrm{SU}(2)[C_{12}]$	$q-\beta _{5}q^{2}+(-1+\beta _{9}-\beta _{11}-\beta _{12}+\cdots)q^{3}+\cdots$
51.2.i.a	$51$	$2$	51.i	51.i	$16$	$32$	$4$	$0.407$		$_{}$	None	None		$4$	$0$	$0$	$-8$	$0$	$-16$		$\mathrm{SU}(2)[C_{16}]$
52.2.l.b	$52$	$2$	52.l	52.l	$12$	$16$	$4$	$0.415$	16.0.$\cdots$.1	$_{}$	None	None		$4$	$0$	$-2$	$0$	$-12$	$0$	$2^{2}$	$\mathrm{SU}(2)[C_{12}]$	$q-\beta _{12}q^{2}+(\beta _{3}+\beta _{12}-\beta _{13}+\beta _{14}+\cdots)q^{3}+\cdots$
55.2.l.a	$55$	$2$	55.l	55.l	$20$	$32$	$4$	$0.439$		$_{}$	None	None		$4$	$0$	$-10$	$-4$	$-2$	$0$		$\mathrm{SU}(2)[C_{20}]$
57.2.j.b	$57$	$2$	57.j	57.j	$18$	$24$	$4$	$0.455$		$_{}$	None	None		$4$	$0$	$0$	$-9$	$0$	$-6$		$\mathrm{SU}(2)[C_{18}]$
61.2.i.a	$61$	$2$	61.i	61.i	$15$	$32$	$4$	$0.487$		$_{}$	None	None		$2$	$0$	$-10$	$-4$	$2$	$1$		$\mathrm{SU}(2)[C_{15}]$
980.1.y.a	$980$	$1$	980.y	140.x	$12$	$16$	$4$	$0.489$	$\Q(\zeta_{48})$	$D_{8}$	$\Q(\sqrt{-1}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{2}q^{2}+\zeta_{48}^{4}q^{4}+\zeta_{48}^{5}q^{5}+\cdots$
70.2.k.a	$70$	$2$	70.k	35.k	$12$	$16$	$4$	$0.559$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$-12$	$8$	$1$	$\mathrm{SU}(2)[C_{12}]$	$q+(-\beta _{7}-\beta _{15})q^{2}+(-\beta _{4}+\beta _{13})q^{3}+\cdots$
78.2.k.a	$78$	$2$	78.k	39.k	$12$	$16$	$4$	$0.623$	16.0.$\cdots$.9	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$8$	$2^{2}$	$\mathrm{SU}(2)[C_{12}]$	$q+(-\beta _{7}-\beta _{15})q^{2}+(-\beta _{1}-\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots$
1269.1.j.b	$1269$	$1$	1269.j	1269.j	$18$	$24$	$4$	$0.633$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$0$	$-6$	$0$	$3$	$1$		$q+(\zeta_{90}^{14}+\zeta_{90}^{26})q^{2}-\zeta_{90}^{27}q^{3}+\cdots$
25.3.f.a	$25$	$3$	25.f	25.f	$20$	$32$	$4$	$0.681$		$_{}$	None	None		$2$	$0$	$-10$	$-10$	$-10$	$-10$		$\mathrm{SU}(2)[C_{20}]$
87.2.i.a	$87$	$2$	87.i	29.e	$14$	$24$	$4$	$0.695$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-4$	$8$		$\mathrm{SU}(2)[C_{14}]$
90.2.l.b	$90$	$2$	90.l	45.l	$12$	$16$	$4$	$0.719$	16.0.$\cdots$.9	$_{}$	None	None		$4$	$0$	$0$	$0$	$-12$	$8$	$1$	$\mathrm{SU}(2)[C_{12}]$	$q-\beta _{11}q^{2}+(-\beta _{3}-\beta _{4}-\beta _{5}+\beta _{8}+\cdots)q^{3}+\cdots$
1501.1.bc.b	$1501$	$1$	1501.bc	1501.ac	$18$	$24$	$4$	$0.749$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-79}) $	None		$4$	$0$	$3$	$0$	$3$	$0$	$1$		$q+(-\zeta_{90}^{11}-\zeta_{90}^{39})q^{2}+(-\zeta_{90}^{5}+\cdots)q^{4}+\cdots$
1599.1.cq.a	$1599$	$1$	1599.cq	1599.bq	$20$	$32$	$4$	$0.798$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}-\zeta_{80}^{31})q^{2}+\zeta_{80}^{30}q^{3}+\cdots$
1739.1.o.b	$1739$	$1$	1739.o	1739.o	$18$	$24$	$4$	$0.868$	$\Q(\zeta_{45})$	$D_{90}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$3$	$6$	$0$	$0$	$1$		$q+(\zeta_{90}^{17}-\zeta_{90}^{33})q^{2}+(\zeta_{90}^{9}+\zeta_{90}^{31}+\cdots)q^{3}+\cdots$
1739.1.p.b	$1739$	$1$	1739.p	1739.p	$18$	$24$	$4$	$0.868$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$3$	$-6$	$0$	$0$	$1$		$q+(\zeta_{90}^{12}+\zeta_{90}^{28})q^{2}+(\zeta_{90}^{14}+\zeta_{90}^{36}+\cdots)q^{3}+\cdots$
1825.1.y.a	$1825$	$1$	1825.y	365.u	$12$	$16$	$4$	$0.911$	16.0.$\cdots$.1	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{14}q^{2}+(\beta _{1}+\beta _{10})q^{3}-\beta _{4}q^{4}+\cdots$
1925.1.dn.c	$1925$	$1$	1925.dn	385.ai	$20$	$32$	$4$	$0.961$	$\Q(\zeta_{120})$	$D_{30}$	$\Q(\sqrt{-7}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{120}-\zeta_{120}^{53})q^{2}+(\zeta_{120}^{2}-\zeta_{120}^{46}+\cdots)q^{4}+\cdots$
1957.1.z.b	$1957$	$1$	1957.z	1957.z	$18$	$24$	$4$	$0.977$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-103}) $	None		$4$	$0$	$-6$	$0$	$0$	$0$	$1$		$q+(\zeta_{90}^{2}+\zeta_{90}^{18})q^{2}+(\zeta_{90}^{4}+\zeta_{90}^{20}+\cdots)q^{4}+\cdots$
1960.1.bu.a	$1960$	$1$	1960.bu	280.at	$12$	$16$	$4$	$0.978$	$\Q(\zeta_{48})$	$D_{8}$	$\Q(\sqrt{-14}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{2}q^{2}+(-\zeta_{48}-\zeta_{48}^{19})q^{3}+\cdots$
38.3.f.a	$38$	$3$	38.f	19.f	$18$	$24$	$4$	$1.035$		$_{}$	None	None		$2$	$0$	$0$	$-6$	$0$	$-18$		$\mathrm{SU}(2)[C_{18}]$
130.2.p.b	$130$	$2$	130.p	65.t	$12$	$16$	$4$	$1.038$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$	$1$	$\mathrm{SU}(2)[C_{12}]$	$q+(\beta _{3}-\beta _{5})q^{2}+(\beta _{1}-\beta _{4})q^{3}+(1+\beta _{8}+\cdots)q^{4}+\cdots$
130.2.s.b	$130$	$2$	130.s	65.o	$12$	$16$	$4$	$1.038$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$8$	$0$	$0$	$-6$	$1$	$\mathrm{SU}(2)[C_{12}]$	$q+(1+\beta _{8})q^{2}+(\beta _{2}-\beta _{11})q^{3}+\beta _{8}q^{4}+\cdots$
134.2.e.b	$134$	$2$	134.e	67.e	$11$	$40$	$4$	$1.070$		$_{}$	None	None		$2$	$0$	$-4$	$-7$	$-3$	$-8$		$\mathrm{SU}(2)[C_{11}]$
2145.1.ec.a	$2145$	$1$	2145.ec	2145.dc	$20$	$32$	$4$	$1.070$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}-\zeta_{80}^{35})q^{2}-\zeta_{80}^{38}q^{3}+\cdots$
2145.1.ec.b	$2145$	$1$	2145.ec	2145.dc	$20$	$32$	$4$	$1.070$	$\Q(\zeta_{80})$	$D_{40}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{80}^{17}+\zeta_{80}^{35})q^{2}-\zeta_{80}^{18}q^{3}+\cdots$
135.2.m.a	$135$	$2$	135.m	45.l	$12$	$16$	$4$	$1.078$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$4$	$0$	$6$	$0$	$6$	$-2$	$1$	$\mathrm{SU}(2)[C_{12}]$	$q+\beta _{5}q^{2}+(\beta _{5}+\beta _{8}+\beta _{15})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$
2184.1.ib.a	$2184$	$1$	2184.ib	2184.hb	$12$	$16$	$4$	$1.090$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{48}^{22}q^{2}+\zeta_{48}^{5}q^{3}-\zeta_{48}^{20}q^{4}+\cdots$
2184.1.ib.b	$2184$	$1$	2184.ib	2184.hb	$12$	$16$	$4$	$1.090$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots$
2200.1.fr.c	$2200$	$1$	2200.fr	440.ar	$20$	$32$	$4$	$1.098$	$\Q(\zeta_{120})$	$D_{30}$	$\Q(\sqrt{-2}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{120}^{39}q^{2}+(-\zeta_{120}-\zeta_{120}^{53})q^{3}+\cdots$
140.2.u.a	$140$	$2$	140.u	35.k	$12$	$16$	$4$	$1.118$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$6$	$2$	$2^{2}$	$\mathrm{SU}(2)[C_{12}]$	$q+(2\beta _{1}+\beta _{2}+\beta _{10}-\beta _{11}+\beta _{13})q^{3}+\cdots$
2295.1.ca.a	$2295$	$1$	2295.ca	85.p	$16$	$32$	$4$	$1.145$	$\Q(\zeta_{96})$	$D_{48}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{96}^{19}+\zeta_{96}^{41})q^{2}+(-\zeta_{96}^{12}+\cdots)q^{4}+\cdots$
2303.1.j.b	$2303$	$1$	2303.j	2303.j	$14$	$24$	$4$	$1.149$	$\Q(\zeta_{35})$	$D_{35}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$2$	$2$	$0$	$1$	$1$		$q+(-\zeta_{70}^{13}-\zeta_{70}^{27})q^{2}+(\zeta_{70}^{6}-\zeta_{70}^{9}+\cdots)q^{3}+\cdots$
145.2.m.a	$145$	$2$	145.m	29.e	$14$	$24$	$4$	$1.158$		$_{}$	None	None		$2$	$0$	$0$	$0$	$4$	$4$		$\mathrm{SU}(2)[C_{14}]$
146.2.h.b	$146$	$2$	146.h	73.h	$12$	$16$	$4$	$1.166$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$2$	$0$	$8$	$0$	$8$	$-2$	$1$	$\mathrm{SU}(2)[C_{12}]$	$q-\beta _{13}q^{2}+(\beta _{7}+\beta _{8})q^{3}+(-1-\beta _{13}+\cdots)q^{4}+\cdots$
2397.1.t.c	$2397$	$1$	2397.t	2397.t	$16$	$32$	$4$	$1.196$	$\Q(\zeta_{80})$	$D_{80}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{80}^{13}+\zeta_{80}^{17})q^{2}-\zeta_{80}^{9}q^{3}+\cdots$
2397.1.t.d	$2397$	$1$	2397.t	2397.t	$16$	$32$	$4$	$1.196$	$\Q(\zeta_{80})$	$D_{80}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$0$	$8$	$0$	$0$	$1$		$q+(-\zeta_{80}^{13}+\zeta_{80}^{17})q^{2}-\zeta_{80}^{16}q^{3}+\cdots$
2413.1.cb.b	$2413$	$1$	2413.cb	2413.bb	$18$	$24$	$4$	$1.204$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-127}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{90}^{14}+\zeta_{90}^{26})q^{2}+(-\zeta_{90}^{7}+\zeta_{90}^{28}+\cdots)q^{4}+\cdots$
2420.1.x.b	$2420$	$1$	2420.x	220.w	$20$	$32$	$4$	$1.208$	$\Q(\zeta_{120})$	$D_{12}$	$\Q(\sqrt{-1}) $	None		$32$	$0$	$0$	$0$	$4$	$0$	$1$		$q+\zeta_{120}^{27}q^{2}+\zeta_{120}^{54}q^{4}-\zeta_{120}^{28}q^{5}+\cdots$
154.2.m.c	$154$	$2$	154.m	77.m	$15$	$32$	$4$	$1.230$		$_{}$	None	None		$4$	$0$	$4$	$2$	$-2$	$7$		$\mathrm{SU}(2)[C_{15}]$
156.2.u.b	$156$	$2$	156.u	39.k	$12$	$16$	$4$	$1.246$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$	$3^{2}$	$\mathrm{SU}(2)[C_{12}]$	$q+(-\beta _{9}-\beta _{13}-\beta _{15})q^{3}+(-\beta _{3}-\beta _{9}+\cdots)q^{5}+\cdots$
2496.1.eh.a	$2496$	$1$	2496.eh	2496.dh	$16$	$32$	$4$	$1.246$	$\Q(\zeta_{64})$	$D_{32}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{26}q^{3}-\zeta_{64}^{22}q^{4}+\cdots$
2520.1.hf.a	$2520$	$1$	2520.hf	2520.gf	$12$	$16$	$4$	$1.258$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{2}q^{2}+\zeta_{48}^{15}q^{3}+\zeta_{48}^{4}q^{4}+\cdots$
2520.1.hf.b	$2520$	$1$	2520.hf	2520.gf	$12$	$16$	$4$	$1.258$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots$
2523.1.h.c	$2523$	$1$	2523.h	87.h	$14$	$24$	$4$	$1.259$	24.0.$\cdots$.1	$D_{5}$	$\Q(\sqrt{-3}) $	None		$24$	$0$	$0$	$0$	$0$	$2$	$1$		$q+\beta _{3}q^{3}-\beta _{13}q^{4}+(-\beta _{16}-\beta _{17}+\cdots)q^{7}+\cdots$
2527.1.y.f	$2527$	$1$	2527.y	133.y	$18$	$24$	$4$	$1.261$	24.0.$\cdots$.3	$D_{10}$	$\Q(\sqrt{-7}) $	None		$24$	$0$	$0$	$0$	$0$	$12$	$1$		$q+(-\beta _{11}+\beta _{23})q^{2}+(\beta _{7}-\beta _{17}+2\beta _{18}+\cdots)q^{4}+\cdots$
158.2.e.a	$158$	$2$	158.e	79.e	$13$	$48$	$4$	$1.262$		$_{}$	None	None		$2$	$0$	$-4$	$-2$	$11$	$-8$		$\mathrm{SU}(2)[C_{13}]$
158.2.e.b	$158$	$2$	158.e	79.e	$13$	$48$	$4$	$1.262$		$_{}$	None	None		$2$	$0$	$4$	$0$	$-11$	$-4$		$\mathrm{SU}(2)[C_{13}]$
2535.1.bc.a	$2535$	$1$	2535.bc	195.ac	$12$	$16$	$4$	$1.265$	$\Q(\zeta_{48})$	$D_{8}$	$\Q(\sqrt{-39}) $	None		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{48}^{5}-\zeta_{48}^{11})q^{2}+\zeta_{48}^{2}q^{3}+\cdots$

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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.