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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 202 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
633.1.m.b	$633$	$1$	633.m	633.m	$10$	$8$	$2$	$0.316$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$2$	$0$	$-2$	$1$		$q+(\zeta_{20}^{5}+\zeta_{20}^{9})q^{2}+\zeta_{20}^{6}q^{3}+(-1+\cdots)q^{4}+\cdots$
675.1.o.a	$675$	$1$	675.o	75.j	$10$	$8$	$2$	$0.337$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q+(-\zeta_{20}-\zeta_{20}^{5})q^{2}+(-1+\zeta_{20}^{2}+\cdots)q^{4}+\cdots$
707.1.l.a	$707$	$1$	707.l	707.l	$10$	$8$	$2$	$0.353$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$4$	$0$	$0$	$0$	$1$		$q+(\zeta_{20}^{6}-\zeta_{20}^{8})q^{2}+(\zeta_{20}^{7}-\zeta_{20}^{9}+\cdots)q^{3}+\cdots$
764.1.h.a	$764$	$1$	764.h	764.h	$10$	$8$	$2$	$0.381$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$-2$	$0$	$0$	$0$	$1$		$q+\zeta_{20}^{8}q^{2}-\zeta_{20}^{7}q^{3}-\zeta_{20}^{6}q^{4}+\cdots$
779.1.p.a	$779$	$1$	779.p	779.p	$10$	$8$	$2$	$0.389$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$-2$	$-2$	$1$		$q+(\zeta_{20}-\zeta_{20}^{3})q^{2}-\zeta_{20}^{5}q^{3}+(\zeta_{20}^{2}+\cdots)q^{4}+\cdots$
800.1.bh.a	$800$	$1$	800.bh	100.j	$10$	$8$	$2$	$0.399$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q-\zeta_{20}^{7}q^{3}+\zeta_{20}^{4}q^{5}+(\zeta_{20}+\zeta_{20}^{9}+\cdots)q^{7}+\cdots$
837.1.ba.a	$837$	$1$	837.ba	93.l	$10$	$8$	$2$	$0.418$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{20}-\zeta_{20}^{7})q^{2}+(\zeta_{20}^{2}-\zeta_{20}^{4}+\cdots)q^{4}+\cdots$
868.1.bt.a	$868$	$1$	868.bt	217.w	$10$	$8$	$2$	$0.433$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{20}-\zeta_{20}^{5})q^{3}+\zeta_{20}^{5}q^{5}+\zeta_{20}^{9}q^{7}+\cdots$
975.1.cj.a	$975$	$1$	975.cj	975.bj	$30$	$16$	$2$	$0.487$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$-8$	$1$		$q+(-\zeta_{60}^{11}+\zeta_{60}^{17})q^{2}+\zeta_{60}^{23}q^{3}+\cdots$
992.1.bf.a	$992$	$1$	992.bf	124.l	$10$	$8$	$2$	$0.495$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q-\zeta_{20}^{7}q^{3}+(\zeta_{20}^{2}-\zeta_{20}^{8})q^{5}-\zeta_{20}q^{7}+\cdots$
1048.1.k.b	$1048$	$1$	1048.k	1048.k	$10$	$8$	$2$	$0.523$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$-4$	$0$	$0$	$1$		$q+\zeta_{20}^{9}q^{2}+(-\zeta_{20}^{2}+\zeta_{20}^{4})q^{3}+\cdots$
1148.1.bc.a	$1148$	$1$	1148.bc	287.o	$10$	$8$	$2$	$0.573$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{20}^{5}q^{3}-\zeta_{20}q^{5}-\zeta_{20}^{2}q^{7}+(\zeta_{20}^{2}+\cdots)q^{11}+\cdots$
1161.1.i.c	$1161$	$1$	1161.i	129.f	$6$	$8$	$4$	$0.579$	8.0.12960000.1	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q+\beta _{7}q^{2}+(-\beta _{3}-\beta _{6}-\beta _{7})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$
1188.1.v.a	$1188$	$1$	1188.v	33.h	$10$	$8$	$2$	$0.593$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+(\zeta_{20}^{3}-\zeta_{20}^{9})q^{5}+\zeta_{20}^{8}q^{7}+\zeta_{20}^{9}q^{11}+\cdots$
1203.1.k.a	$1203$	$1$	1203.k	1203.k	$10$	$8$	$2$	$0.600$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$-2$	$0$	$4$	$1$		$q+\zeta_{20}^{9}q^{2}+\zeta_{20}^{4}q^{3}+\zeta_{20}^{7}q^{5}+\cdots$
1293.1.f.a	$1293$	$1$	1293.f	1293.f	$10$	$8$	$2$	$0.645$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{20}^{5}q^{2}+\zeta_{20}^{5}q^{3}+(-\zeta_{20}+\zeta_{20}^{7}+\cdots)q^{5}+\cdots$
1349.1.m.a	$1349$	$1$	1349.m	1349.m	$10$	$8$	$2$	$0.673$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$-4$	$2$	$1$		$q+(\zeta_{20}-\zeta_{20}^{7})q^{2}-\zeta_{20}^{9}q^{3}+(\zeta_{20}^{2}+\cdots)q^{4}+\cdots$
1364.1.bw.a	$1364$	$1$	1364.bw	341.t	$10$	$8$	$2$	$0.681$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$-2$	$-4$	$1$		$q+(-\zeta_{20}^{3}+\zeta_{20}^{5})q^{3}-\zeta_{20}^{2}q^{5}+\cdots$
1376.1.r.a	$1376$	$1$	1376.r	172.g	$6$	$8$	$4$	$0.687$	8.0.12960000.1	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\beta _{3}-\beta _{6}-\beta _{7})q^{3}+\beta _{3}q^{7}+(\beta _{2}+\cdots)q^{9}+\cdots$
1383.1.j.a	$1383$	$1$	1383.j	1383.j	$10$	$8$	$2$	$0.690$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{20}^{5}+\zeta_{20}^{9})q^{2}+\zeta_{20}^{7}q^{3}+(-1+\cdots)q^{4}+\cdots$
1501.1.q.a	$1501$	$1$	1501.q	1501.q	$6$	$8$	$4$	$0.749$	8.0.12960000.1	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$-2$	$-2$	$1$		$q-\beta _{3}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(-1+\beta _{4}+\cdots)q^{5}+\cdots$
1529.1.l.c	$1529$	$1$	1529.l	1529.l	$10$	$8$	$2$	$0.763$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q-\zeta_{20}^{3}q^{2}+\zeta_{20}^{9}q^{3}+\zeta_{20}^{2}q^{6}+\cdots$
1600.1.bd.a	$1600$	$1$	1600.bd	200.n	$10$	$8$	$2$	$0.799$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$-6$	$0$	$0$	$1$		$q+(-1+\zeta_{20}^{6})q^{3}-\zeta_{20}^{3}q^{5}+\zeta_{20}^{5}q^{7}+\cdots$
1600.1.bd.b	$1600$	$1$	1600.bd	200.n	$10$	$8$	$2$	$0.799$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$6$	$0$	$0$	$1$		$q+(1-\zeta_{20}^{6})q^{3}-\zeta_{20}^{3}q^{5}-\zeta_{20}^{5}q^{7}+\cdots$
1600.1.bh.b	$1600$	$1$	1600.bh	100.j	$10$	$8$	$2$	$0.799$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{20}^{9}q^{3}-\zeta_{20}^{8}q^{5}+(-\zeta_{20}^{3}-\zeta_{20}^{7}+\cdots)q^{7}+\cdots$
1628.1.bv.a	$1628$	$1$	1628.bv	1628.av	$30$	$16$	$2$	$0.812$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$-6$	$0$	$1$		$q+\zeta_{60}^{11}q^{2}+(\zeta_{60}^{7}+\zeta_{60}^{19})q^{3}+\cdots$
1687.1.o.a	$1687$	$1$	1687.o	1687.o	$6$	$8$	$4$	$0.842$	8.0.12960000.1	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\beta _{1}-\beta _{3})q^{3}+\beta _{5}q^{4}+(\beta _{1}-\beta _{6}+\cdots)q^{5}+\cdots$
1708.1.bz.a	$1708$	$1$	1708.bz	427.x	$10$	$8$	$2$	$0.852$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q+(-\zeta_{20}-\zeta_{20}^{5})q^{3}+(\zeta_{20}^{3}-\zeta_{20}^{9}+\cdots)q^{5}+\cdots$
1724.1.g.a	$1724$	$1$	1724.g	1724.g	$10$	$8$	$2$	$0.860$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{20}^{5}q^{2}+(-\zeta_{20}^{3}-\zeta_{20}^{7})q^{3}+\cdots$
1763.1.p.b	$1763$	$1$	1763.p	1763.p	$10$	$8$	$2$	$0.880$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{20}^{3}+\zeta_{20}^{5})q^{2}+(-\zeta_{20}-\zeta_{20}^{9}+\cdots)q^{3}+\cdots$
1771.1.bn.a	$1771$	$1$	1771.bn	1771.an	$30$	$16$	$2$	$0.884$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$6$	$-2$	$0$	$0$	$1$		$q+(-\zeta_{60}^{4}+\zeta_{60}^{10})q^{2}+\zeta_{60}^{26}q^{3}+\cdots$
1800.1.dg.a	$1800$	$1$	1800.dg	1800.cg	$30$	$16$	$2$	$0.898$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$4$	$0$	$0$	$1$		$q+\zeta_{60}^{29}q^{2}+\zeta_{60}^{18}q^{3}-\zeta_{60}^{28}q^{4}+\cdots$
1804.1.by.a	$1804$	$1$	1804.by	1804.ay	$10$	$8$	$2$	$0.900$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{20}^{3}q^{2}+\zeta_{20}^{6}q^{4}-\zeta_{20}^{9}q^{7}+\cdots$
1804.1.cc.a	$1804$	$1$	1804.cc	1804.bc	$10$	$8$	$2$	$0.900$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{20}^{5}q^{2}-q^{4}-\zeta_{20}^{9}q^{7}-\zeta_{20}^{5}q^{8}+\cdots$
1825.1.y.a	$1825$	$1$	1825.y	365.u	$12$	$16$	$4$	$0.911$	16.0.$\cdots$.1	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{14}q^{2}+(\beta _{1}+\beta _{10})q^{3}-\beta _{4}q^{4}+\cdots$
1948.1.b.a	$1948$	$1$	1948.b	487.b	$2$	$4$	$4$	$0.972$	$\Q(i, \sqrt{5})$	$A_{5}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{1}q^{3}+(\beta _{1}+\beta _{3})q^{5}-\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots$
1967.1.q.b	$1967$	$1$	1967.q	1967.q	$10$	$8$	$2$	$0.982$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q-\zeta_{20}^{3}q^{3}-\zeta_{20}^{4}q^{4}+(-\zeta_{20}^{7}+\zeta_{20}^{9}+\cdots)q^{5}+\cdots$
1967.1.q.c	$1967$	$1$	1967.q	1967.q	$10$	$8$	$2$	$0.982$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$6$	$0$	$0$	$0$	$1$		$q+(1+\zeta_{20}^{4})q^{2}+(-\zeta_{20}-\zeta_{20}^{5})q^{3}+\cdots$
1969.1.g.a	$1969$	$1$	1969.g	1969.g	$10$	$8$	$2$	$0.983$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$2$	$-4$	$0$	$1$		$q+(\zeta_{20}^{5}-\zeta_{20}^{7})q^{2}-\zeta_{20}^{8}q^{3}+(-1+\cdots)q^{4}+\cdots$
1984.1.bf.a	$1984$	$1$	1984.bf	124.l	$10$	$8$	$2$	$0.990$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$-4$	$0$	$1$		$q+\zeta_{20}q^{3}+(\zeta_{20}^{4}-\zeta_{20}^{6})q^{5}-\zeta_{20}^{3}q^{7}+\cdots$
1988.1.x.a	$1988$	$1$	1988.x	497.l	$10$	$8$	$2$	$0.992$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{20}^{7}q^{5}+\zeta_{20}^{9}q^{7}+\zeta_{20}^{8}q^{9}+\cdots$
1991.1.bb.b	$1991$	$1$	1991.bb	1991.ab	$10$	$8$	$2$	$0.994$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$-2$	$-6$	$0$	$1$		$q+(-\zeta_{20}-\zeta_{20}^{5})q^{2}+\zeta_{20}^{8}q^{3}+(-1+\cdots)q^{4}+\cdots$
2025.1.y.a	$2025$	$1$	2025.y	225.t	$30$	$16$	$2$	$1.011$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$4$	$1$		$q+(\zeta_{60}^{5}-\zeta_{60}^{23})q^{2}+(\zeta_{60}^{10}-\zeta_{60}^{16}+\cdots)q^{4}+\cdots$
2068.1.k.a	$2068$	$1$	2068.k	517.f	$10$	$8$	$2$	$1.032$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$6$	$0$	$4$	$1$		$q+(1+\zeta_{20}^{4})q^{3}+(\zeta_{20}^{5}-\zeta_{20}^{7})q^{5}+\cdots$
2073.1.l.b	$2073$	$1$	2073.l	2073.l	$10$	$8$	$2$	$1.035$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$0$	$-6$	$1$		$q+(-\zeta_{20}-\zeta_{20}^{5})q^{2}-\zeta_{20}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots$
2079.1.dd.a	$2079$	$1$	2079.dd	231.z	$30$	$16$	$2$	$1.038$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$2$	$1$		$q+(\zeta_{60}^{5}-\zeta_{60}^{23})q^{2}+(\zeta_{60}^{10}-\zeta_{60}^{16}+\cdots)q^{4}+\cdots$
2083.1.b.b	$2083$	$1$	2083.b	2083.b	$2$	$4$	$4$	$1.040$	$\Q(i, \sqrt{5})$	$A_{5}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+\beta _{2}q^{4}+\beta _{1}q^{5}+\cdots$
2096.1.q.a	$2096$	$1$	2096.q	524.g	$10$	$8$	$2$	$1.046$	$\Q(\zeta_{20})$	$A_{5}$	None	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{20}q^{3}-\zeta_{20}^{8}q^{5}+(-\zeta_{20}-\zeta_{20}^{5}+\cdots)q^{7}+\cdots$
2121.1.bm.a	$2121$	$1$	2121.bm	2121.am	$30$	$16$	$2$	$1.059$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$-2$	$1$		$q-\zeta_{60}^{17}q^{2}-\zeta_{60}^{13}q^{3}+(-\zeta_{60}^{17}+\cdots)q^{5}+\cdots$
2132.1.dd.c	$2132$	$1$	2132.dd	2132.cd	$30$	$16$	$2$	$1.064$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$8$	$0$	$1$		$q+\zeta_{60}^{19}q^{2}-\zeta_{60}^{25}q^{3}-\zeta_{60}^{8}q^{4}+\cdots$

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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.