LMFDB - Newform search results

Refine search

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
		Only for weight 1:

				Sort order	Select

Results (1-50 of 87 matches)

Next Download displayed columns for results to

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
371.1.o.a	$371$	$1$	371.o	371.o	$26$	$12$	$1$	$0.185$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+(-\zeta_{26}^{8}-\zeta_{26}^{9})q^{2}+(-\zeta_{26}^{3}-\zeta_{26}^{4}+\cdots)q^{4}+\cdots$
471.1.n.a	$471$	$1$	471.n	471.n	$26$	$12$	$1$	$0.235$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q+\zeta_{26}^{2}q^{3}+\zeta_{26}^{11}q^{4}+(\zeta_{26}^{5}+\zeta_{26}^{12}+\cdots)q^{7}+\cdots$
507.1.n.a	$507$	$1$	507.n	507.n	$26$	$12$	$1$	$0.253$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+\zeta_{26}^{7}q^{3}-\zeta_{26}^{2}q^{4}+(\zeta_{26}^{9}+\zeta_{26}^{10}+\cdots)q^{7}+\cdots$
583.1.n.a	$583$	$1$	583.n	583.n	$26$	$12$	$1$	$0.291$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{26}^{6}-\zeta_{26}^{11})q^{3}+\zeta_{26}q^{4}+\cdots$
711.1.v.a	$711$	$1$	711.v	79.f	$26$	$12$	$1$	$0.355$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{26}^{6}q^{4}+(\zeta_{26}^{3}-\zeta_{26}^{5})q^{7}+(-\zeta_{26}+\cdots)q^{13}+\cdots$
795.1.bb.a	$795$	$1$	795.bb	795.ab	$26$	$24$	$2$	$0.397$	$\Q(\zeta_{52})$	$D_{26}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{52}^{9}-\zeta_{52}^{11})q^{2}+\zeta_{52}q^{3}+(\zeta_{52}^{18}+\cdots)q^{4}+\cdots$
848.1.x.a	$848$	$1$	848.x	212.h	$26$	$12$	$1$	$0.423$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{26}+\zeta_{26}^{11})q^{5}-\zeta_{26}^{6}q^{9}+\cdots$
939.1.t.a	$939$	$1$	939.t	939.t	$26$	$12$	$1$	$0.469$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-\zeta_{26}^{11}q^{3}+\zeta_{26}^{12}q^{4}+(\zeta_{26}^{3}+\zeta_{26}^{4}+\cdots)q^{7}+\cdots$
955.1.c.b	$955$	$1$	955.c	955.c	$2$	$12$	$12$	$0.477$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+(\zeta_{26}^{6}+\zeta_{26}^{7})q^{2}+(-\zeta_{26}^{2}-\zeta_{26}^{11}+\cdots)q^{3}+\cdots$
1060.1.z.a	$1060$	$1$	1060.z	1060.z	$26$	$12$	$1$	$0.529$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$1$	$0$	$1$		$q+\zeta_{26}^{10}q^{2}-\zeta_{26}^{7}q^{4}+\zeta_{26}^{9}q^{5}+\cdots$
1060.1.z.b	$1060$	$1$	1060.z	1060.z	$26$	$12$	$1$	$0.529$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$-1$	$0$	$1$		$q-\zeta_{26}^{10}q^{2}-\zeta_{26}^{7}q^{4}+\zeta_{26}^{8}q^{5}+\cdots$
1252.1.s.a	$1252$	$1$	1252.s	1252.s	$26$	$12$	$1$	$0.625$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-\zeta_{26}^{3}q^{2}+\zeta_{26}^{6}q^{4}+(-\zeta_{26}^{6}-\zeta_{26}^{7}+\cdots)q^{5}+\cdots$
1272.1.bh.a	$1272$	$1$	1272.bh	1272.ah	$26$	$24$	$2$	$0.635$	$\Q(\zeta_{52})$	$D_{26}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$-4$	$1$		$q+\zeta_{52}^{25}q^{2}-\zeta_{52}^{9}q^{3}-\zeta_{52}^{24}q^{4}+\cdots$
1528.1.b.c	$1528$	$1$	1528.b	1528.b	$2$	$12$	$12$	$0.763$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+\zeta_{26}^{10}q^{2}+(\zeta_{26}+\zeta_{26}^{12})q^{3}-\zeta_{26}^{7}q^{4}+\cdots$
1659.1.bt.a	$1659$	$1$	1659.bt	1659.at	$26$	$12$	$1$	$0.828$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$1$	$1$		$q+\zeta_{26}^{10}q^{3}+\zeta_{26}^{2}q^{4}-\zeta_{26}^{6}q^{7}+\cdots$
1659.1.bt.b	$1659$	$1$	1659.bt	1659.at	$26$	$12$	$1$	$0.828$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$-1$	$1$		$q-\zeta_{26}^{10}q^{3}+\zeta_{26}^{2}q^{4}-\zeta_{26}q^{7}+\cdots$
1679.1.d.e	$1679$	$1$	1679.d	1679.d	$2$	$12$	$12$	$0.838$	$\Q(\zeta_{52})^+$	$D_{26}$	$\Q(\sqrt{-1679}) $	None	✓	$4$	$0$	$2$	$-2$	$0$	$0$	$1$		$q+\beta _{10}q^{2}+\beta _{4}q^{3}+(1-\beta _{6})q^{4}-\beta _{1}q^{5}+\cdots$
1703.1.u.a	$1703$	$1$	1703.u	1703.u	$26$	$12$	$1$	$0.850$	$\Q(\zeta_{26})$	$D_{26}$	None	$\Q(\sqrt{13}) $		$4$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(\zeta_{26}^{6}-\zeta_{26}^{11})q^{3}-\zeta_{26}^{8}q^{4}+(\zeta_{26}^{4}+\cdots)q^{9}+\cdots$
1727.1.u.a	$1727$	$1$	1727.u	1727.u	$26$	$12$	$1$	$0.862$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$-13$	$0$	$1$		$q+(\zeta_{26}^{2}+\zeta_{26}^{12})q^{3}-\zeta_{26}^{6}q^{4}+(-1+\cdots)q^{5}+\cdots$
1908.1.bf.a	$1908$	$1$	1908.bf	212.h	$26$	$24$	$2$	$0.952$	$\Q(\zeta_{52})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{52}^{23}q^{2}-\zeta_{52}^{20}q^{4}+(\zeta_{52}^{9}+\zeta_{52}^{21}+\cdots)q^{5}+\cdots$
2084.1.p.a	$2084$	$1$	2084.p	2084.p	$26$	$12$	$1$	$1.040$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q+\zeta_{26}^{4}q^{2}+\zeta_{26}^{8}q^{4}+(-\zeta_{26}^{5}+\zeta_{26}^{8}+\cdots)q^{5}+\cdots$
2104.1.d.e	$2104$	$1$	2104.d	2104.d	$2$	$12$	$12$	$1.050$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-263}) $	None		$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q-\zeta_{26}^{10}q^{2}+(\zeta_{26}^{2}+\zeta_{26}^{11})q^{3}+\cdots$
2120.1.bp.a	$2120$	$1$	2120.bp	2120.ap	$26$	$24$	$2$	$1.058$	$\Q(\zeta_{52})$	$D_{26}$	$\Q(\sqrt{-10}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{52}^{5}q^{2}+\zeta_{52}^{10}q^{4}-\zeta_{52}q^{5}+\cdots$
2212.1.bv.a	$2212$	$1$	2212.bv	2212.av	$26$	$12$	$1$	$1.104$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$1$	$0$	$0$	$-1$	$1$		$q-\zeta_{26}^{4}q^{2}+\zeta_{26}^{8}q^{4}+\zeta_{26}^{10}q^{7}+\cdots$
2212.1.bv.b	$2212$	$1$	2212.bv	2212.av	$26$	$12$	$1$	$1.104$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$1$	$0$	$0$	$1$	$1$		$q+\zeta_{26}^{11}q^{2}-\zeta_{26}^{9}q^{4}-\zeta_{26}^{10}q^{7}+\cdots$
2279.1.s.a	$2279$	$1$	2279.s	2279.s	$26$	$12$	$1$	$1.137$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-43}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{26}^{3}q^{4}-\zeta_{26}^{12}q^{9}+(\zeta_{26}^{2}-\zeta_{26}^{3}+\cdots)q^{11}+\cdots$
2292.1.e.e	$2292$	$1$	2292.e	2292.e	$2$	$12$	$12$	$1.144$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$-1$	$-1$	$0$	$0$	$1$		$q+\zeta_{26}^{10}q^{2}+\zeta_{26}^{12}q^{3}-\zeta_{26}^{7}q^{4}+\cdots$
2292.1.e.f	$2292$	$1$	2292.e	2292.e	$2$	$12$	$12$	$1.144$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$1$	$1$	$0$	$0$	$1$		$q-\zeta_{26}^{10}q^{2}+\zeta_{26}q^{3}-\zeta_{26}^{7}q^{4}+\cdots$
2483.1.c.e	$2483$	$1$	2483.c	2483.c	$2$	$12$	$12$	$1.239$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+(\zeta_{26}^{6}+\zeta_{26}^{7})q^{2}+(-\zeta_{26}^{2}+\zeta_{26}^{11}+\cdots)q^{3}+\cdots$
2491.1.j.a	$2491$	$1$	2491.j	2491.j	$26$	$12$	$1$	$1.243$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-47}) $	None		$4$	$0$	$0$	$0$	$0$	$-11$	$1$		$q+(\zeta_{26}^{4}-\zeta_{26}^{12})q^{2}+(\zeta_{26}^{3}-\zeta_{26}^{9}+\cdots)q^{3}+\cdots$
2504.1.bj.a	$2504$	$1$	2504.bj	2504.aj	$26$	$12$	$1$	$1.250$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$-11$	$0$	$0$	$1$		$q+\zeta_{26}^{3}q^{2}+(-1+\zeta_{26}^{11})q^{3}+\zeta_{26}^{6}q^{4}+\cdots$
2512.1.bv.a	$2512$	$1$	2512.bv	628.p	$26$	$12$	$1$	$1.254$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{26}^{4}+\zeta_{26}^{7})q^{5}-\zeta_{26}^{5}q^{9}+(\zeta_{26}+\cdots)q^{13}+\cdots$
2597.1.be.a	$2597$	$1$	2597.be	371.u	$78$	$24$	$1$	$1.296$	$\Q(\zeta_{39})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{78}^{7}+\zeta_{78}^{25})q^{2}+(-\zeta_{78}^{11}+\cdots)q^{4}+\cdots$
2704.1.bu.a	$2704$	$1$	2704.bu	676.p	$26$	$12$	$1$	$1.349$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{26}^{4}+\zeta_{26}^{5})q^{5}-\zeta_{26}^{7}q^{9}+\zeta_{26}^{5}q^{13}+\cdots$
2755.1.b.c	$2755$	$1$	2755.b	2755.b	$2$	$12$	$12$	$1.375$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-551}) $	None		$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+(\zeta_{26}^{4}+\zeta_{26}^{9})q^{2}+(\zeta_{26}^{5}+\zeta_{26}^{8}+\cdots)q^{3}+\cdots$
2755.1.b.d	$2755$	$1$	2755.b	2755.b	$2$	$12$	$12$	$1.375$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-551}) $	None		$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+(-\zeta_{26}^{4}-\zeta_{26}^{9})q^{2}+(-\zeta_{26}^{5}-\zeta_{26}^{8}+\cdots)q^{3}+\cdots$
2756.1.bp.a	$2756$	$1$	2756.bp	2756.ap	$26$	$12$	$1$	$1.375$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q-\zeta_{26}^{3}q^{2}+\zeta_{26}^{6}q^{4}+(\zeta_{26}^{4}-\zeta_{26}^{5}+\cdots)q^{5}+\cdots$
2756.1.bp.b	$2756$	$1$	2756.bp	2756.ap	$26$	$12$	$1$	$1.375$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$2$	$0$	$1$		$q+\zeta_{26}^{3}q^{2}+\zeta_{26}^{6}q^{4}+(-\zeta_{26}^{4}+\zeta_{26}^{5}+\cdots)q^{5}+\cdots$
2756.1.bp.c	$2756$	$1$	2756.bp	2756.ap	$26$	$24$	$2$	$1.375$	$\Q(\zeta_{52})$	$D_{26}$	$\Q(\sqrt{-13}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{52}^{21}q^{2}-\zeta_{52}^{16}q^{4}+(\zeta_{52}+\zeta_{52}^{15}+\cdots)q^{7}+\cdots$
2807.1.d.e	$2807$	$1$	2807.d	2807.d	$2$	$12$	$12$	$1.401$	$\Q(\zeta_{52})^+$	$D_{26}$	$\Q(\sqrt{-2807}) $	None	✓	$4$	$0$	$2$	$0$	$0$	$-12$	$1$		$q+\beta _{6}q^{2}-\beta _{1}q^{3}+(\beta _{2}-\beta _{4}+\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots$
2811.1.w.a	$2811$	$1$	2811.w	2811.w	$26$	$12$	$1$	$1.403$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-\zeta_{26}^{11}q^{3}-\zeta_{26}^{7}q^{4}+(\zeta_{26}^{2}-\zeta_{26}^{4}+\cdots)q^{7}+\cdots$
2915.1.bq.a	$2915$	$1$	2915.bq	2915.aq	$26$	$12$	$1$	$1.455$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+(\zeta_{26}^{9}+\zeta_{26}^{10})q^{3}-\zeta_{26}^{8}q^{4}+\zeta_{26}^{9}q^{5}+\cdots$
2915.1.bq.b	$2915$	$1$	2915.bq	2915.aq	$26$	$12$	$1$	$1.455$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+(-\zeta_{26}^{9}-\zeta_{26}^{10})q^{3}-\zeta_{26}^{8}q^{4}+\cdots$
2915.1.bs.a	$2915$	$1$	2915.bs	2915.as	$26$	$12$	$1$	$1.455$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-2$	$1$	$0$	$1$		$q+(-\zeta_{26}^{5}-\zeta_{26}^{11})q^{3}+\zeta_{26}^{4}q^{4}+\cdots$
2915.1.bs.b	$2915$	$1$	2915.bs	2915.as	$26$	$12$	$1$	$1.455$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$2$	$-1$	$0$	$1$		$q+(\zeta_{26}^{5}+\zeta_{26}^{11})q^{3}+\zeta_{26}^{4}q^{4}+\zeta_{26}^{8}q^{5}+\cdots$
2968.1.by.a	$2968$	$1$	2968.by	2968.ay	$26$	$12$	$1$	$1.481$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$1$	$0$	$0$	$1$	$1$		$q+\zeta_{26}^{9}q^{2}-\zeta_{26}^{5}q^{4}-\zeta_{26}^{12}q^{7}+\cdots$
2968.1.by.b	$2968$	$1$	2968.by	2968.ay	$26$	$12$	$1$	$1.481$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$1$	$0$	$0$	$1$	$1$		$q-\zeta_{26}^{2}q^{2}+\zeta_{26}^{4}q^{4}-\zeta_{26}^{12}q^{7}+\cdots$
2968.1.ck.a	$2968$	$1$	2968.ck	2968.bk	$26$	$12$	$1$	$1.481$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-1$	$0$	$0$	$1$	$1$		$q+\zeta_{26}^{10}q^{2}-\zeta_{26}^{7}q^{4}+\zeta_{26}^{9}q^{7}+\cdots$
2968.1.ck.b	$2968$	$1$	2968.ck	2968.bk	$26$	$12$	$1$	$1.481$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$1$	$0$	$0$	$1$	$1$		$q-\zeta_{26}^{8}q^{2}-\zeta_{26}^{3}q^{4}+\zeta_{26}^{9}q^{7}+\cdots$
2983.1.br.a	$2983$	$1$	2983.br	2983.ar	$26$	$12$	$1$	$1.489$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{26}^{2}q^{4}+(\zeta_{26}^{5}-\zeta_{26}^{7})q^{5}+(-\zeta_{26}^{4}+\cdots)q^{7}+\cdots$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 87 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.